Temporary document - IRISA

INRIA, Evaluation of Theme Computational Models and

Simulation

Project-team POEMS

March 17-19, 2009

Temporary document

Project-team title : Propagation d’Ondes : Etude Mathematique et Sim-ulation

Scientific leader : Patrick Joly

Research center : Rocquencourt

Common project-team with : CNRS and ENSTA

1 Personnel

Personnel (September 2004)

Misc. INRIA CNRS ENSTA Total

DR (1) / Professors 1 2 1 4

CR (2) / Assistant Professors 4 2 2 8

Permanent Engineer (3) 1 1

Temporary Engineer (4)

PhD Students 19 19

Post-Doc 1 1

Total 20 5 5 3 33

External Collaborators 3 3

Visitors (> 1 month)

(1) “Senior Research Scientist (Directeur de Recherche)”(2) “Junior Research Scientist (Charge de Recherche)”(3) “Civil servant (CNRS, INRIA, ...)”(4) “Associated with a contract (Ingenieur Expert or Ingenieur Associe)”

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Personnel (March 17-19, 2009)1

Misc. INRIA CNRS ENSTA Total

DR / Professors 1 2 1 4

CR / Assistant Professors 3 2 2 7

Permanent Engineer 1 1

Temporary Engineer

PhD Students 13 13

Post-Doc(s)

Total 13 4 5 3 25

External Collaborators 3 3

Visitors (> 1 month) 2 1 3

Changes in staff

DR / Professors Misc. INRIA CNRS University Total

CR / Assistant Professors

Arrivals 1 1

Leaving 1 1 2

Comments :

Houssem Haddar left October 1, 2007, and became the head of Project-Team DEFI at INRIA Saclay;

Jeronimo Rodriguez (CR, CNRS) arrived March 1, 2006 and left December 31, 2008;

Jing Rebecca Li is about to leave during the first semester 2009 for joining INRIA Saclay.

Current composition of the project-team (March 17-19, 2009):

Permanent INRIA researchers

• Patrick Joly, DR1

• Eliane Becache, CR1

• Gary Cohen, CR1

• Jing Rebecca Li, CR1

Permanent CNRS researchers

• Anne-Sophie Bonnet-Ben Dhia, DR2

• Marc Lenoir, DR2

• Christophe Hazard, CR1

• Jean-Francois Mercier, CR1

Permanent ENSTA researchers

• Patrick Ciarlet, Professor

• Laurent Bourgeois, Assistant Professor

• Eric Luneville, Assistant Professor

1Visitors: Liliana Borcea, Paul Martin, Ricardo Weder.

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Exterior collaborators

• Francis Collino, Independant researcher

• Jerome Le Rousseau, Professor (Univ. of Orleans)

• Christine Poirier, Assistant Professor (Univ. of Versailles)

Engineer

• Colin Chambeyron, CNRS

PhD students

We indicate in parenthesis the name of the advisor (and co-advisor if any).

• Vahan Baronian (A.-S. Bonnet-Ben Dhia, A. Lhemery, E. Luneville)

• Morgane Bergot (G. Cohen)

• Juliette Chabassier (P. Joly)

• Julien Coatleven (P. Joly)

• Jeremi Darde (L. Bourgeois, F. Jouve)

• Berangere Delourme (P. Joly)

• Sonia Fliss (P. Joly)

• Benjamin Goursaud (A.-S. Bonnet-Ben Dhia, C. Hazard)

• Sebastien Imperiale (G. Cohen)

• Lauris Joubert (A.-S. Bonnet-Ben Dhia, P. Joly)

• Matthieu Leautaud (J. Le Rousseau)

• Adrien Semin (P. Joly)

• Alexandre Sinding (G. Cohen)

Post-Doc

No Post-Doc at the date March 17-19, 2009.

Current position of former project-team members (including PhD stu-dents during the period September 2004 to March 17-19, 2009):

Permanent researchers

• Houssem Haddar, DR2 (INRIA Saclay Ile de France)

• Jeronimo Rodriguez, Teacher-Researcher (Univ. of Santiago de Compostela, Spain)

Former PhD students

• Chokri Ben Amar, Assistant (ENI Tunis, Tunisia)

• Kamel Berriri, Assistant (ENI Sousse, Tunisia)

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• Nicolas Castel, High School Professor

• Xavier Claeys, Post-Doc (ETH Zurich, Switzerland)

• Fabrice Delbary, Post-Doc (Univ. of Gottingen, Germany)

• Edouard Demaldent, Post-Doc (INRIA Rocquencourt)

• Julien Diaz, CR2 (INRIA Bordeaux Sud-Ouest)

• Eve-Marie Duclairoir, Engineer (Dassault Systemes)

• Marc Durufle, Assistant Professor (Univ. of Bordeaux I)

• Abdelaaziz Ezziani, Assistant Professor (Univ. of Pau et Pays de l’Adour)

• Pascal Grob, Engineer (Canada)

• Erell Jamelot, Research Engineer (CEA)

• Samir Kaddouri, CPGE Professor (Versailles)

• Sri Poernomo Sari, Assistant Professor (Univ. of Jakarta, Indonesia)

• Sebastien Tordeux, Assistant Professor (INSA Toulouse)

• Carlo Maria Zwolf, Engineer (Societe Generale)

Former Post-Docs students

• Grace Hechme, Research Engineer (EDF)

• Guillaume Legendre, Assistant Professor (Univ. of Paris IX)

• Mourad Ismail, Assistant Professor (Univ. of Grenoble I)

• Christoph Kirsch, Post-Doc (Univ. of Magdeburg, Germany)

• Francois Loret, Scientific Consulting (Glaizer Group)

• Andres Prieto, Teacher-Researcher (Univ. of Santiago de Compostela, Spain)

• David Sanchez, Assistant Professor (INSA Toulouse)

Last INRIA enlistments

No INRIA enlistment was made during the period September 2004 to March 17-19, 2009.

2 Work progress

2.1 Keywords

2.2 Context and overall goal of the project

2.2.1 Overall objectives

The propagation of waves is one of the most common physical phenomena one can meetin nature. From the human scale (sounds, vibrations, water waves, telecommunications,radar), to the scale of the universe (electromagnetic waves, gravity waves), to the scale

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of the atom (spontaneous or stimulated emission, interferences between particles), theemission and the reception of waves are our privileged way to understand the world thatsurrounds us.

The study and the simulation of wave propagation phenomena constitute a very broadand active field of research in the various domains of physics and engineering science.

The variety and the complexity of the underlying problems, their scientific and indus-trial interest, the existence of a common mathematical structure to these problems fromdifferent areas justify together a research project in Scientific Computing entirely devotedto this theme.

The general activity of the project is oriented toward the conception, the analysis, thenumerical approximation, and the control of mathematical models for the description ofwave propagation in mechanics, physics, and engineering sciences.

Beyond the general objective of contributing to the progress of the scientific knowledge,three goals can be ascribed to the project:

• the development of an expertise relative to various types of waves (acoustic, elastic,electromagnetic, gravity waves, ...) and in particular for their numerical simulation,

• the treatment of complex problems whose simulation is close enough to real lifesituations,

• the development of original mathematical and numerical techniques,

• the development of computational codes, in particular in collaboration with externalpartners (scientists from other disciplines, industry, state companies...)

2.2.2 Scientific foundations

Warning to the reader. This section is the translation of the corresponding part ofour annual activities report. It is written at a very elementary level and certainly of nointerest to a specialist in wave propagation.

Our activity relies on the existence of mathematical models established by physicists tomodel the propagation of waves in various situations. The basic ingredient is a partialdifferential equation (or a system of partial differential equations) of the hyperbolic typethat are often (but not always) linear for most of the applications we are interested in.The prototype equation is the wave equation:

∂2u

∂t2− c2∆u = 0,

which can be directly applied to acoustic waves but which also constitutes a simplifiedscalar model for other types of waves (This is why the development of new numerical meth-ods often begins by their application to the wave equation). Of course, taking into accountmore realistic physics will enrich and complexify the basic models (presence of sources,boundary conditions, coupling of models, integro-differential or non linear terms,...)

It is classical to distinguish between two types of problems associated with these models:the time domain problems and the frequency domain (or time harmonic) problems. In

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the first case, the time is one of the variables of which the unknown solution depends andone has to face an evolution problem. In the second case (which rigorously makes senseonly for linear problems), the dependence with respect to time is imposed a priori (via thesource term for instance): the solution is supposed to be harmonic in time, proportionalto eiωt, where ω > 0 denotes the pulsation (also commonly, but improperly, called thefrequency). Therefore, the time dependence occurs only through this pulsation which isgiven a priori and plays the role of a parameter: the unknown is only a function of spacevariables. For instance, the wave equation leads to the Helmholtz wave equation (alsocalled the reduced wave equation) :

−c2∆u − ω2u = 0.

These two types of problems, although deduced from the same physical modelization, havevery different mathematical properties and require the development of adapted numericalmethods.

However, there is generally one common feature between the two problems: the existenceof a dimension characteristic of the physical phenomenon: the wavelength. Intuitively,this dimension is the length along which the searched solution varies substantially. In thecase of the propagation of a wave in an heterogeneous medium, it is necessary to speakof several wavelengthes (the wavelength can vary from one medium to another). Thisquantity has a fundamental influence on the behaviour of the solution and its knowledgewill have a great influence on the choice of a numerical method.

Nowadays, the numerical techniques for solving the basic academic and industrial prob-lems are well mastered. A lot of companies have at their disposal computational codeswhose limits (in particular in terms of accuracy or robustness) are well known. However,the resolution of complex wave propagation problems close to real applications still poses(essentially open) problems which constitute a real challenge for applied mathematicians.A large part of research in mathematics applied to wave propagation problems is orientedtowards the following goals:

• the conception of new numerical methods, more and more accurate and high per-forming.

• the treatment of more and more complex problems (non local models, non linearmodels, coupled systems, ...)

• the study of specific phenomena or features such as guided waves, resonances,...

• the development of approximate models in various situations,

• imaging techniques and inverse problems related to wave propagation.

These areas constitute the main fields of interest for the Project-Team POEMS.

2.2.3 Application domains

As already indicated above, we are concerned with all application domains where linearwave problems arise: acoustics and elastodynamics (including fluid-structure interactions),electromagnetism and optics, and gravity water waves. We give in the sequel some detailson each domain, pointing out our main motivations and collaborations.

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Acoustics. As the acoustic propagation in a fluid at rest can be described by a scalarequation, it is generally considered by applied mathematicians as a simple preliminary stepfor more complicated (vectorial) models. However, several difficult questions concerningcoupling problems have occupied our attention recently.

Aeroacoustics, or more precisely, acoustic propagation in a moving compressible fluid,is for our team a recent and very challenging topic, which gives rise to a lot of openquestions, from the modeling until the numerical approximation of existing models. Ourworks in this area are partially supported by EADS (and Airbus). The final objective isto reduce the noise radiated by Airbus planes.

Vibroacoustics, which concerns the interaction between sound propagation ans vibrationsof thin structures, also raises up a lot of relevant research subjects. Our collaborationwith EADS on this subject, with application to the comfort of the cockpits of airplanes,allowed us to develop a new research direction about time domain integral equations.

A particularly attractive application concerns the simulation of musical instruments, whoseobjectives are both a better understanding of the behavior of existing instruments and anaid for the manufactoring of new instruments. After the timpani and the guitar, we arebeginning in collaboration with A. Chaigne of ENSTA a study devoted to the modelingand the simulation of the piano.

Electromagnetism. This is a particularly important domain, first because of the veryimportant technological applications but also because the treatment of Maxwell’s equa-tions poses new and challenging mathematical questions.

Applied mathematics for electromagnetism during the last ten years have mainly con-cerned stealth technology, electromagnetic compatibility, and design of optoelectronicmicro-components.

Stealth technology relies in particular on the conception and simulation of new absorbingmaterials (anisotropic, chiral, non-linear...). The simulation of antennas raises delicatequestions related to the complexity of the geometry (in particular the presence of edgesand corners). Finally micro and nano optics have seen recently fantastic technologicaldevelopments, and there is a real need for tools for the numerical simulation in these areas.

Our team has taken a large part in this research in the past few years. In the begin-ning, our activity was essentially concerned with radar stealth (supported by the FrenchArmy and Aeronautic Companies). Now, it is evolving in new directions thanks to newexternal (academic and industrial) contacts:

• We have been developing since 2001 a collaboration with ONERA on EM modelingby higher order methods (theses of M. Durufle and E. Demaldent, current thesis ofM. Bergot).

• As partners of ONERA, we have been selected by the CEG (a research organismof the French Army) to contribute to the development of a general computationalcode in electromagnetism. The emphasis is on the hybridization of methods and thepossibility of incorporating specific models for slits, screens, wires,...

• Optics is becoming a major application topic. In the past our contribution to this

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subject was quite important but remained at a rather academic level. Our collab-oration about the simulation of micro and nano opto-components with the Institutd’Electronique Fondamentale (Orsay) which has been funded by the ANR has mo-tivated an intense activity during the evaluation period.

• Our expertise in numerical methods for Maxwell’s equations could play a main rolefor the challenging simulation of Vlasov-Maxwell equations, arising in the context ofcontrolled thermonuclear fusion. This is the object of the thesis of A. Sinding (fundedby the DGA - French army) and of a collaboration with project-team CALVI.

Elastodynamics. Wave propagation in solids is with no doubt, among the three fun-damental domains that are acoustics, electromagnetism and elastodynamics, the one thatposes the most significant difficulties from mathematical and numerical points of view.Our activity on this topic, which unfortunately has been forced to slow down in the mid-dle of the 90’s due to the disengagement of French oil companies in matter of research,has seen a most welcomed rebound through new academic and industrial contacts.

The two major application areas of elastodynamics are geophysics and non destructivetesting. A more recent interest has also been brought to fluid-stucture interaction prob-lems.

• In geophysics, one is interested in the propagation of elastic waves under ground.Such waves appear as natural phenomena in earthquakes but they are also used asa tool for the investigation of the subsoil, mainly by the petroleum industry for oilprospecting (seismic methods). This constitutes an important field of applicationfor numerical methods. We are currently defining the framework of a collaborationwith TOTAL company.

• Another important application of elastic waves is non-destructive testing: the prin-ciple is typically to use ultra-sounds to detect the presence of a defect (a crack forinstance) inside a metallic piece. This topic has been the object of an importantcooperation with EDF (French Company of Electricity) in view on the applicationto the control of nuclear reactors. This led us to become an active member of theGDR 2501 (a french-UK network on Ultrasonic Non-Destructive Testing) where wemet people of the LIST (Laboratoire d’Integration des Systemes et des Technologies)at the CEA (French Nuclear Agency). We develop currently several active collab-orations with this team (ANR project MOHYCAN thesis of Vahan Baronian andSebastien Imperiale).

2.3 Objectives for the evaluation period

On the occasion of the previous evaluation of project-team POEMS, the following objec-tives have been listed:

Modeling in micro and nano-optics :

This will constitute a new orientation for the Project. A collaboration with the Insti-tut d’Electronique Fondamentale (Orsay) should start in the near future. The objectiveis to develop new methods for simulating photonic microstructures with high refractiveindex contrasts.

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The simulation of the transition between an optical fiber and an integrated microguideraises in particular a lot of very difficult questions, which we will try to handle thanks toour experience on non uniform waveguides and PMLs.

Band gap components, with perodic microstructure, also lead to very interesting math-ematical questions. We plan to increase our activity on this subject, with a particularinterest to the modal analysis of miscrostruturated optical fibers and to the derivation ofDtN maps in infinite or semi-infinite periodic media.

Numerical Modeling in aeroacoustics and vibroacoustics.

These reseach subjects are at the heart of our collaboration with EADS and have beeninitiated during the last four years. A lot of academic and practical questions remain tobe solved.

Our research about the simulation of acoustic waves in flows, with linearized Euler systemor Galbrun’s equations, will continue in particular in the direction of the treatment ofgeneral non uniform flows.

Our research on vibroacoustics is the central motivation of the development of coupledfinite element-retarded potentials methods. It will also be the opportunity to investigatevarious mechanical models for thin structures (Kirchhof-Love, Mindlin Reissner, dynamicshell equations).

Hybridization of numerical techniques :

This topic, that we have already encountered through our works on domain decompo-sition and mesh refinement should be reinforced through our collaborations with EADS(in aeroacoustics), ONERA and CEG (electromagnetism). Let us cite for instance:

• Coupling finite differences, finite element methods and discontinuous Galerkin meth-ods through non conforming grids.

• Coupling volumic methods with approximate models (impedance conditions, wiresand slot models,...) - see also the item below.

• Coupling, in time domain, volumic methods (finite elements, finite differences) withsurfacic methods (integral equations) or exact transparent conditions.

• Hybridization of standard numerical methods with high frequency techniques (incollaboration with J. D. Benamou)

Asymptotic methods and approximate models :

Our activity in this domain will increase during the next four years, in particular bynew future cooperations:

• the INRIA-NSF project ”Collaborative Effort on Approximate Boundary ConditionsFor Computational Wave Problems”,

• the collaboration with CEG and ONERA on Computational Electromagnetics,

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• the continuation (still not decided) of the ARC HEADEXP.

The particular subjects that we shall work on are:

• Generalized impedance boundary conditions for thin layers or boundary layers ap-proximations. An effort should be paid to the case of singular boundaries and timedomain problems.

• Time domain effective transmission conditions for internal thin layer problems.

• Approximate models for thin slots problems. This concerns the extension of thePhD thesis of S. Tordeux to 3D problems, Maxwell’s equations and time domain.

• Wire models. Our wish is to revisit the question of thin wire models through the socalled matched asymptotic expansions technique.

• Effective models for scattering by rough (periodic and not periodic) surfaces andinterfaces.

Perfectly matched layers :

This domain has seen a lot of progress (as least for us) during the past four years. Howeverthere are still open challenging questions to be solved:

• The stability of numerical schemes inside PML’s. This question poses real difficulties,in particular with higher order methods.

• The construction of stable PML’s for anisotropic wave propagation models such asanisotropic elasticity or Galbrun’s equations.

• The analysis of time harmonic PML’s in waveguides (in particular elastic waveg-uides).

Inverse problems :

Up to now, our efforts on inverse problems have been focused on more or less academicsproblems. Indeed, our works concerned essentially inverse scattering problems in freespace, using a large amount of data and a deterministic setting. Our main objective nowis to move towards real life applications, as was intiated with the study of burried objectsdetection. To progress in the resolution of complex problems, we intent to couple differentapproaches as explained in the section ”Main contributions”. Interesting and challengingquestions concern for instance

• The inverse scattering problems in waveguides, where few data are available (becauseevanescent modes do not contribute to the far field).

• Data completion.

• Including statistical approaches in handling inverse problems simulations more real-istic.

2.4 Objective i : Executive summary

There should be one such subsection for each main objective of the evaluation period. Each subsection

should be approximatively 3 pages long. The number of main objectives (and therefore of such subsections)

is expected to be less than 5, typically 3. For each subsection, fill the following subsubsections when

appropriate. TBR.

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2.4.1 Personnel

List of the permanent researchers and the PhD students involved in the work related to this objective (1-2

lines). TBR.

2.4.2 Project-team positioning

Should be about half a page. Positioning of the project wrt the state of the art and with regards to other

INRIA project-teams and other national/international research groups (peer or competitor groups). TBR.

2.4.3 Scientific achievements

Describe the main contributions in 1 page. Emphasize their significance and impact. Refer to the main

results : publications, theses, software. TBR.

2.4.4 Collaborations

List the partners with whom you had a strong and fruitful collaboration during the evaluation period (joint

publications, joint software development) and refer to the topic and the outcome of the collaboration. TBR

2.4.5 External support

List the various support you had, e.g. INRIA ARC, National initiatives (ANR, RNTL, RNRT, ACI,...),

european and internatinal projects, industrial contracts. This subsubsection must be very short. Details

should be provided in section 4. TBR.

2.4.6 Self assessment

Outline the strong and the weak points. What should be continued, modified, stopped? TBR.

3 Knowledge dissemination

3.0.7 Publications

2005 2006 2007 2008 to appear

PhD Thesis 3 3 3 2

H.D.R (*) 1

Journal 21 27 30 15 17

Conference proceedings (**) 67 17 31 23

Book chapter 1 6

(*) HDR Habilitation a diriger des Recherches(**) Conference with a program committee

The major journals in our field are :

1. SIAM Journal on Numerical Analysis

2. Mathematical Models and Methods in Applied Sciences

3. Journal of Computational Physics

4. Journal of Computational Acoustics

5. SIAM Journal on Applied Mathematics

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The principal conferences in our field are :

1. WAVES : International Conference on Mathematical and Numerical Aspects of WavePropagation Phenomena.

2. ICOSAHOM : International Conference on Spectral and Higher Order Methods.

3. DDM : International Conference on Domain Decomposition Methods.

4. ECCOMAS : European Conference on Computational Methods in Applied Science.

5. CANUM : Colloque National d’Analyse Numerique.

3.1 Software

We are led to develop two types of software. The first category is prototype softwares:various softwares are developed in the framework of specific research contracts (and some-times sold to the contractor) or during PhD theses. They may be also contributions toalready existing softwares developed by other institutions such as CEA, ONERA or EDF.The second category is advanced software which are intended to be developed, enrichedand maintained over longer periods. Such softwares are devoted to help us for our re-search and/or promote our research. We have chosen to present here only our advancedsoftwares.

MELINA

This software has been developed under the leadership of D. Martin for several yearsin order to offer to the researchers a very efficient tool (in Fortran 77 and objectoriented) for easily implementing finite element based original numerical methodsfor solving partial differential equations. It has specific and original potential in thedomain of time harmonic wave problems (integral representations, spectral DtN con-ditions,...). Nowadays, it is fully functional in various application areas (acousticsand aeroacoustics, elastodynamics, electromagnetism, water waves). It is an opensource software with on line documentation available at

http://perso.univ-rennes1.fr/daniel.martin/melina/

The software is regularly used in about 10 research laboratories (in France andabroad) and number of research papers have published results obtained with MELINA(see the Web site). Moreover, every 2 years, a meeting is organized which combinesa workshop which teaches new users with presentations by existing users.

During the last four years, apart from various local improvements of the code, newfunctionalities have been developed:

• Higher order finite elements (up to 10th order),

• Higher order quadrature formulae,

• DtN boundary conditions in 3D.

A new C++ version of the software is under development. We will take advantageof this evolution for extending the class of finite elements (mixed elements, tensorvalued elements, ...).

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MONTJOIE

This is a software for the efficient and accurate wave propagation numerical modelingin both time dependent or time harmonic regimes in various domains of application:acoustics, aeroacoustics, elastodynamics and electromagnetism . It is based essen-tially on the use of quadrilateral/hexaedric conforming meshes and continuous ordiscontinuous Galerkin approximations, The use of tensor product basis functionscoupled to judicious numerical quadrature techniques leads to important gains inboth computing time and memory storage. Various techniques for treating un-bounded domains have been incorporated : DtN maps, local absorbing conditions,integral representations and PML’s.

We have written an interface for the use of other libraries : SELDON, a C++ lin-ear algebra library (interfaced with BLAS and LAPACK) used for iterative linearsolvers, MUMPS and UMFPACK for direct linear solvers, ARPACK for eigenvaluecomputations. The mesh generation is not part of the code. It can be done withModulef, Gmsh, Ghs3D or Cubit.

This code has been developed by Marc Durufle during his PhD thesis. Some othercontributors have brought more specific enrichments to the code.

3.1.1 Valorization and technology transfert

Industrial contracts. Software commercialization. Technology transfert to other research fields. You should

add a comment that states how this technology transfert contributed to the valorization of the project-

team research results, its impact on the activity of the industrial or academic partners, its role in raising

new research problems. TBR

3.2 Teaching

All members of Project-Team POEMS, permanent or not, are very much involved in teach-ing. The location of a part of the team in the Ecole Nationale de Techniques Avancees(ENSTA) has naturally let us to invest particularly this school, but we also teach in sev-eral other institutions in the Paris area : Ecole Polytechnique, Ecole Centrale de Paris,Ecole des Mines de Paris, ENS of Cachan, Universite Paris IX (Dauphine) and Paris VI(Jussieu), UVSQ (Universite de Versailles-Saint Quentin).

We detail below for each permanent member the institutions where he/she had teach-ing activities during the last four years:

Eliane Becache

ENSTA (graduate courses)

Master Modelisation et Simulation of INSTN

Anne-Sophie Bonnet-Ben Dhia



Ecole Centrale de Paris (Master of Mechanics)

Laurent Bourgeois


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Colin Chambeyron

Universite Paris IX (undergraduate courses)

Patrick Ciarlet

Ecole Polytechnique (graduate courses)



Gary Cohen

Universite Paris IX (Master of Applied Mathematics)

Christophe Hazard


Patrick Joly


Universite Paris VI (Master of Applied Mathematics)

Marc Lenoir


ENS Cachan (Preparation to agregation)


Jing Rebecca Li


Ecole des Mines de Paris (graduate courses)

Eric Luneville



Jean-Francois Mercier



Jeronimo Rodriguez


3.3 Visibility

The project participates actively im the organization and is composing a large partof the scientific committee of the International Conferences on Mathematical andNumerical Aspects of Wave Propagation (created in 1991 by G. Cohen and P. Joly).The most recent conference was WAVES2007 in Reading (UK) in July 2007. Thenext one will take place at the University of Pau (France) in June 2009.

The project organizes a monthly seminar. The seminar takes place alternatively at INRIAand ENSTA (changing each three months) and is composed of two talks each time.

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The project organizes regularly a series of INRIA workshops (high level courses for re-searchers and engineers) on wave propagation (Ecole des Ondes). These workshopsare part of the CEA-EDF-INRIA summer school. The most recent workshops wason Discontinuous Galerkin methods for wave equations, in November 2006.

A.S. Bonnet-Ben Dhia and P. Joly are members of the Executive Committee of theGDR 2501 Etude de la propagation ultrasonore en milieux non homogenes en vue ducontrole non destructif.

P. Joly is member of the Editorial Board of the Journal M2AN (Modelisation Mathematiqueet Analyse Numerique).

P. Joly is member of the Editorial Board of the Book series “Scientific Computation” ofSpringer. (Modelisation Mathematique et Analyse Numerique).

P. Joly is a regular lecturer at College Polytechnique (Advanced courses for engineerswho are working in industry).

4 External Funding

Indicate the budget allocated to your project-team in keuros. BR

(k euros) year1 year2 year3 year4

INRIA Research Initiatives

ARC† XX

LSIA‡ XX

National initiatives

e.g. ACI XX

e.g. RNRT XX

European projects

e.g. IST XX

e.g. Eureka XX

Associated teams

XX 1

XX 2

Industrial contracts

XX 1

XX 2

Scholarships

PhD *

Post Doc*

AI+

ODL#

Other funding

XX1

XX2

Total

† INRIA Cooperative Research Initiatives‡ Large-scale Initiative Actions

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∗ other than those supported by one of the above projects+ junior engineer supported by INRIA# engineer supported by INRIA

ARCs

Give a short description (5 lines) for each ARC, including its name and the list of research groups involved.

TBR.

National initiatives

ANR Project SimNanoPhot: Simulation de micro- et nano-structures photoniques a fortcontraste d’indice (2006 - 2008): project of the ANR (Programme blanc) in collab-oration with IEF (Institut d’Electronique Fondamentale) of the University of Orsay.It concerns the modelization of micro and nano-structures in optics.

ANR (RNTL) project MOHYCAN: MOdelisation HYbride et Couplage semi-ANalytiquepour la simulation du CND (2007-2009). Topic: coupling of the finite element codeATHENA with the semi-analytic code CIVA for application to non-destructive test-ing. Collaborators: CEA-LIST (main contact), EDF and CEDRAT.

Groupement de Recherches 2501 Etude de la propagation ultrasonore en milieux nonhomogenes en vue du controle non destructif : french-UK network which regroupsacademic and industrial research laboratories in Acoustics and Applied Mathematicsworking on ultrasonic nondestructive testing.

European projects

Give a short description (5 lines) for each european project, including the type of project, its name and

the list of partners. TBR.

Associated teams and other international projects

Give a short description (5 lines) for each project, including the type of project, its name and the list of

partners. TBR.

Industrial contracts

Give a short description (5 lines) for each contract including the name of the company and the object of

the collaboration. TBR.

Contract POEMS-DGA

This contract concerns the Singular Expansion method for time dependent problemsand the resolution of transient Maxwell’s equations in singular domains.

Contract POEMS-EADS

This contract is about the numerical simulation of elastic wave propagation in com-posite materials (periodic structures with a defect) in the time harmonic regime.

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Contract POEMS-Airbus

This contract is about the hybridation of time domain numerical techniques in aeroa-coustics (Linearized Euler equations).

Contract POEMS-ONERA-CE Gramat

This contract is about hybrid methods for the time domain solution of Maxwell’sequations.

Other funding,

Give a short description (5 lines) for each other funding sources. TBR.

5 Objectives for the next four years

Indicate the main research directions and their scientific and application objectives, open problems to be

solved, anticipated risks and the means (staff requirement) to achieve those objectives. If a project-team

is about to end and to be replaced by a new one, you may replace this section by the new project-team

proposal. TBR.

6 Bibliography of the project-team

Limited to the evaluation period. If other references are necessary, put them in footnotes TBR.

6.1 Books and Monographs

6.2 Doctoral dissertations and “Habilitation” theses

[1] Claeys Xavier, Analyse asymptotique et numerique de la diffraction d’ondes par desfils minces, (2008)

[2] Zwolf Carlo Maria, Methodes variationnelles pour la modelisation des problemes detransmission d’onde electromagnetique entre dielectrique et meta-materiau, (2008)

[3] Ben Amar Chokri, Etude theorique et numerique de processus de retournement tem-porel, Soutenue a Tunis le 23 juin, These en cotutelle ENIT / Ecole Polytechnique,(2007)

[4] Duclairoir Eve-Marie, Rayonnement acoustique dans un ecoulement cisaille : Unemethode d’elements finis pour la simulation du regime harmonique, Ecole Polytech-nique, (2007)

[5] Kaddouri Samir, Resolution du probleme du potentiel electrostatique dans des do-maines prismatiques et axisymetriques singuliers. Etude asymptotique dans des do-maines quasi-singuliers, These de l’Ecole Polytechnique, (2007)

[6] Berriri Kamel, Approche analytique et numerique pour l’aeroacoustique en regimetransitoire par le modele de Galbrun, Universite Paris-Dauphine, (2006)

17

[7] Durufle Marc, Integration numerique et elements finis d’ordre eleve appliques auxequations de Maxwell en regime harmonique, Universite Paris-Dauphine, (2006)

[8] Grob Pascal, Methodes numeriques de couplage pour la vibroacoustique instation-naire : Elements finis spectraux d’ordre eleve et potentiels retardes, Universite Paris-Dauphine, (2006)

[9] Haddar Houssem, Imagerie et Modeles Asymptotiques en Electromagnetisme, Habili-tation Universite Paris-Dauphine, (2006)

[10] Diaz Julien, Approches analytiques et numeriques de problemes de transmission enpropagation d’ondes en regime transitoire. Application au couplage fluide-structure etaux methodes de couches parfaitement adaptees, Universite Paris 6, (2005)

[11] Ezziani Abdelaaziz, Modelisation mathematique et numerique de la propagationd’ondes dans les milieux viscoelastiques et poroelastiques, Universite Paris IX, (2005)

[12] Jamelot Erell, Resolution des equations de Maxwell avec des elements finis deGalerkin continus, Ecole Polytechnique, (2005)

6.3 Articles in referred journals and book chapters

To appear

[13] Baronian Vahan, Bonnet-BenDhia Anne-Sophie and Luneville Eric, Transparentboundary conditions for the harmonic diffraction problem in an elastic waveguide,J. Comput. Appl. Math, (to appear)

[14] Bonnet-BenDhia Anne-Sophie, Ciarlet Patrick and Zwolf Carlo Maria, Time har-monic wave diffraction problems in materials with sign-shifting coefficients, J. Com-put. Appl. Math, (to appear)

[15] Bonnet-BenDhia Anne-Sophie and Mercier Jean-Francois, Resonances of an elasticplate coupled with a compressible confined flow, Quarterly Journal of Mechanics andApplied Mathematics, (to appear)

[16] Bonnet-BenDhia Anne-Sophie, Mercier Jean-Francois, Millot Florence and PernetSebastien, A low Mach model for time harmonic acoustics in arbitrary flows, J. Com-put. Appl. Math., (to appear)

[17] Castel Nicolas, Cohen Gary and Durufle Marc, Discontinuous Galerkin method forhexahedral elements and aeroacoustic, Journal of Computational Acoustics, (to ap-pear)

[18] Chen Yanlai, Hesthaven Jan S., Maday Yvon and Rodrıguez Jeronimo, A MonotonicEvaluation of Lower Bounds for Inf-Sup Stability Constants in the Frame of ReducedBasis Approximations, C. R. Acad. Sci. Paris, Ser. I, (to appear)

[19] Ciarlet Patrick and Ciarlet Philippe, Direct computation of stresses in planar lin-earized elasticity, Math. Models Meth. App. Sci., (to appear)

[20] Ciarlet Patrick and Labrunie simon, Numerical analysis of the generalized Maxwellequations (with an elliptic correction) for charged particle simulations, Math. ModelsMeth. App. Sci., (to appear)

18

[21] Claeys Xavier, On the theoretical justification of Pocklington’s equation, Math. ModelsMethods Appl. Sci., (to appear)

[22] Claeys Xavier and Collino Francis, Augmented Galerkin Schemes for the NumericalSolution of Scattering by Small Obstacles, Numerische Mathematik, (to appear)

[23] Durufle Marc, Grob Pascal and Joly Patrick, Influence of the Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method inthe time domain, Numerical Methods for Partial Differential Equations, (to appear)

[24] Ezziani Abdelaaziz and Joly Patrick, Space-time mesh refinement for discontunuousGalerkin methods for symmetric hyperbolic systems, J. Comput. Appl. Math., (toappear)

[25] Gilbert Jean-Charles and Joly Patrick, Higher order time stepping for second orderhyperbolic problems and optimal CFL conditions, Springer, ”Numerical Analysis andScientific Computing for PDEs and their Challenging Applications”, (to appear)

[26] Haddar Houssem , Li Jing-Rebecca and Matignon Denis, Efficient solution of a waveequation with fractional order dissipative terms, J. Comput. Appl. Math., (to appear)

[27] Joly Patrick and Rodrıguez Jeronimo, Optimized higher order time discretization ofsecond order hyperbolic problems: Construction and numerical study, J. Comput.Appl. Math., (to appear)

[28] Lenoir Marc, Theorie spectrale et applications - Generalites et operateurs compacts,Encyclopedie des techniques de l’ingenieur, vol. AF-567, (to appear)

[29] Le Rousseau Jerome, Fourier-integral-operator product representation of solutions tofirst-order symmetrizable hyperbolic systems, J. Analyse Math., pp 1–55, (to appear)

2008

[30] Assous Franck, Ciarlet Patrick and Garcia Emmanuelle, A characterization of singularelectromagnetic fields by an inductive approach, Numerical Analysis and Modeling,vol. 5, pp 491–515, (2008)

[31] Benner Peter, Li Jing-Rebecca and Penzl Thilo, Numerical solution of large-scaleLyapunov equations, Riccati equations, and linear-quadratic optimal control problems,Numerical Linear Algebra with Applications, vol. 15, pp 755–777, (2008)

[32] Bonnet-BenDhia Anne-Sophie, Ciarlet Patrick and Zwolf Carlo Maria, A new com-pactness result for electromagnetic waves. Application to the transmission problembetween dielectrics and metamaterials, Math. Models Meth. App. Sci., vol. 18, pp1605–1631, (2008)

[33] Bourgeois Laurent and Luneville Eric, The Linear Sampling Method in a waveguide:a modal formulation, Inverse Problems, vol. 24, pp 015018, (2008)

[34] Becache Eliane, Rodrıguez Jeronimo and Tsogka Chrysoula, Convergence results ofthe fictitious domain method for a mixed formulation of the wave equation with a Neu-mann boundary condition, Mathematical Modelling and Numerical Analysis, (2008)

[35] Ciarlet Patrick and Ciarlet Philippe, A new approach for approximating linear elas-ticity problems, C. R. Acad. Sci. Paris, Ser. I, vol. 346, pp 351–356, (2008)

19

[36] Ciarlet Patrick and Hechme Grace, Computing electromagnetic eigenmodes with con-tinuous Galerkin approximations, Comput. Methods Appl. Mech. Engrg., vol. 198,pp 358–365, (2008)

[37] Demaldent Edouard, Levadoux David and Cohen Gary, Spectral Elements for theIntegral Equations of Time-Harmonic Maxwell Problems, IEEE Transactions on An-tennas and Propagation, vol. 56, pp 3001–3010, (2008)

[38] Derveaux Gregoire, Joly Patrick and Rodrıguez Jeronimo, Space time mesh refine-ment methods. “Effective computational methods for wave propagation”, Chapman &Hall/CRC, Numer. Insights, vol. 5, pp 385–424, (2008)

[39] Fliss Sonia and Joly Patrick, Exact boundary conditions for time-harmonic wavepropagation in locally perturbed periodic media, Applied Numerical Mathematics,doi:10.1016/j.apnum.2008.12.013, (2008)

[40] Haddar Houssem, Joly Patrick and N’Guyen Hoai Minh, Construction and analy-sis of approximate models for electromagnetic scattering from imperfectly conductingscatterers, Math. Models Methods Appl. Sci., vol. 18, 10, pp 1787–1827, (2008)

[41] Hazard Christophe and Luneville Eric, An improved multimodal approach for nonuniform acoustic waveguides, IMA Journal of Applied Math., vol. 73 (4), pp 668–690,(2008)

[42] Hechme Grace, Nechepurenko Yuri and Sadkane Miloud, Efficient methods for com-puting spectral projectors for linearized hydrodynamic equations, SIAM J. Sci. Com-put., vol. 31, pp 667–686, (2008)

[43] Joly Patrick and Semin Adrien, Construction and analysis of improved Kirchoff con-ditions for acoustic wave propagation in a junction of thin slots, ESAIM Proceeding,vol. 25, pp 44–67, (2008)

[44] Joly Patrick and Tordeux Sebastien, Matching of asymptotic expansions for wavepropagation in media with thin slots II. The error estimates, M2AN, Math. Model.Numer. Anal, vol. 42, pp 193–221, (2008)

[45] Joly Patrick, Finite element methods with continuous displacement.“Effective com-putational methods for wave propagation”, Chapman & Hall/CRC, Numer. Insights,vol. 5, pp 247–266, (2008)

[46] Joly Patrick, The mathematical model for elastic wave propagation. “Effective com-putational methods for wave propagation”, Chapman & Hall/CRC, Numer. Insights,vol. 5, pp 247–266, (2008)

[47] Joly Patrick and Tsogka Chrysoula, Numerical methods for treating unbounded me-dia. “Effective computational methods for wave propagation”, Chapman & Hall/CRC,Numer. Insights, vol. 5, pp 425–472, (2008)

[48] Joly Patrick and Tsogka Chrysoula, Fictitious domains methods for wave diffraction.“Effective computational methods for wave propagation”, Chapman & Hall/CRC, Nu-mer. Insights, vol. 5, pp 359–384, (2008)

[49] Joly Patrick and Tsogka Chrysoula, Finite element methods with discontinuous dis-placement. “Effective computational methods for wave propagation”, Chapman &Hall/CRC, Numer. Insights, vol. 5, pp 331–357, (2008)

20

[50] Rodrıguez Jeronimo, A Spurious-Free Space-Time Mesh Refinement for Elastody-namics, International Journal for Multiscale Computational Engineering, vol. 6, pp263–279, (2008)

2007

[51] Amrouche Cherif, Ciarlet Patrick and Ciarlet Philippe, Vector and scalar potentials,Poincare’s theorem and Korn’s inequality, C. R. Acad. Sci. Paris, Ser. I, vol. 345, pp603–608, (2007)

[52] Barthelme Regine, Ciarlet Patrick and Sonnendrucker Eric, Generalized formula-tions of Maxwell’s equations for numerical Vlasov-Maxwell simulations, Math. ModelsMeth. App. Sci., vol. 17, pp 657–680, (2007)

[53] Ben Amar Chokri, Gmati Nabil, Hazard Christophe and Ramdani Karim, Numeri-cal simulation of time-harmonic reversal mirrors for acoustic waves, SIAM J. Appl.Math., vol. 67, pp 777–791, (2007)

[54] Benabdallah Assia, Dermenjian Yves and Le Rousseau Jerome, On the controllabilityof linear parabolic equations with an arbitrary control location for stratified media, C.R. Acad. Sci. Paris, Ser. I, vol. 344, pp 189–207, (2007)

[55] Benabdallah Assia, Dermenjian Yves and Le Rousseau Jerome, Carleman estimatesfor the one-dimensional heat equation with a discontinuous coefficient and applicationsto controllability and an inverse problem, J. Math. Anal. Appl., vol. 336 (2), pp 865–887, (2007)

[56] Benabdallah Assia, Gaitan Patricia and Le Rousseau Jerome, Stability of discontin-uous diffusion coefficients and initial conditions in an inverse problem for the heatequation, SIAM J. Control Optim., vol. 45 (5), pp 1849–1881, (2007)

[57] Bonnet-BenDhia Anne-Sophie, Ciarlet Patrick and Zwolf Carlo Maria, Two-field andthree-field formulations for wave transmission between media with opposite sign di-electric constants, Journal of Computational and Applied Mathematics, vol. 204, pp408–417, (2007)

[58] Bonnet-BenDhia Anne-Sophie, Duclairoir Eve-Marie, Legendre Guillaume andMercier Jean-Francois, Time-harmonic acoustic propagation in the presence of a shearflow, J. Comput. Appl. Math, vol. 204(2), pp 428–439, (2007)

[59] Bonnet-BenDhia Anne-Sophie, Duclairoir Eve-Marie and Mercier Jean-Francois,Acoustic propagation in a flow: numerical simulation of the time-harmonic regime,ESAIM Proceedings, Volume 22, (2007)

[60] Bonnet-BenDhia Anne-Sophie and Mercier Jean-Francois, Resonances of an elasticplate in a compressible confined fluid, Quarterly Journal of Mechanics and AppliedMathematics, vol. 60(4), pp 397–421, (2007)

[61] Bourgeois Laurent, A stability estimate for ill-posed elliptic Cauchy problems in adomain with corners, C. R. Acad. Sci. Paris, Ser. I, vol. 345, pp 385–390, (2007)

[62] Bourgeois Laurent, Chambeyron Colin and Kusiak Steven, Locating an obstacle in a3D finite depth ocean using the convex scattering support, Journal of Computationaland Applied Mathematics, vol. 204, pp 387–399, (2007)

21

[63] Becache Eliane, Rodrıguez Jeronimo and Tsogka Chrysoula, A fictitious domainmethod with mixed finite elements for elastodynamics, SIAM J. Sci. Comput., vol.29, pp 1244–1267, (2007)

[64] Cakoni Fioralba and Haddar Houssem, Identification of partially coated anisotropicburied objects using electromagnetic Cauchy data, J. Int. Eq. Appl., (2007)

[65] Ciarlet Patrick, Ciarlet Philippe G., Geymonat Giuseppe and Krasucki Francoise,Characterization of the kernel of the operator CURL CURL, C. R. Acad. Sci. Paris,Ser. I, vol. 344, pp 305–308, (2007)

[66] Ciarlet Patrick and Jamelot Erell, Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries, J. Comput. Phys., vol. 226, pp 1122–1135, (2007)

[67] Ciarlet Patrick and Kaddouri Samir, Multiscaled asymptotic expansions for the elec-tric potential: surface charge densities and electric fields at rounded corners, Math.Models Meth. App. Sci., vol. 17, pp 845–876, (2007)

[68] Ciarlet Patrick and Legendre Guillaume, Well-posedness of the Drude-Born-Fedorovmodel for chiral media, Math. Models Meth. App. Sci., vol. 17(3), pp 461–484, (2007)

[69] Claeys Xavier and Haddar Houssem, Scattering From infinite rough tubular surfaces,Math. Meth. Appl. Sci., vol. 30, pp 389–414, (2007)

[70] Cohen Gary and Durufle Marc, Non spurious spectral-like element methods forMaxwell’s equations, Journal of Computational Mathematics, vol. 25, pp 282–304,(2007)

[71] Cohen Gary and Grob Pascal, Higher Order Spectral Finite Elements for Reissner-Mindlin Equations in the Time Domain, SIAM J. Sci. Comput., vol. 29 (3), pp 986–1005, (2007)

[72] Grob Pascal and Joly Patrick, Conservative coupling between finite elements andretarded potentials. Application to vibroacoustics, SIAM Journal on Scientific Com-puting, vol. 29, 3, pp 1127–1159, (2007)

[73] Hazard Christophe and Loret Francois, The Singularity Expansion Method applied tothe transient motions of a floating elastic plate, Mathematical Modelling and Numer-ical Analysis, vol. 41, pp 925–943, (2007)

[74] Hazard Christophe and Loret Francois, Generalized eigenfunction expansions for con-servative scattering problems with an application to water waves, Proceedings of theRoyal Society of Edinburg, vol. 137A, pp 995–1035, (2007)

[75] Hazard Christophe and Meylan Mike, Spectral theory for a two-dimensional elasticthin plate floating on water of finite depth, SIAM J. Appl. Math., vol. 68(3), pp629–647, (2007)

[76] Hechme Grace, Convergence analysis of the Jacobi-Davidson method applied to ageneralized eigenproblem, C. R. Acad. Sci. Paris, Ser. I, vol. 345, pp 293–296, (2007)

[77] Joly Patrick, Numerical Methods for Elastic Wave Propagation, SpringerWien NewYork, Waves in nonlinear Pre-Stressed Materials, Michel Destrade, Giuseppe Sacco-mandi Editors, pp 181–281, (2007)

22

[78] Le Rousseau Jerome, On the convergence of some products of Fourier integral opera-tors and applications, Asymptotic Analysis, vol. 51, pp 189–207, (2007)

[79] Le Rousseau Jerome, Carleman estimates and controllability results for the one-dimensional heat equations with BV coefficients, J. Differential Equations, vol. 233,pp 417–447, (2007)

[80] Li Jing-Rebecca and Greengard Leslie, On the numerical solution of the heatequation I: fast solvers in free space, Journal of Computational Physics, vol. 226, pp1891–1901, (2007)

2006

[81] Assous Franck, Ciarlet Patrick, Garcia Emmanuelle and Segre Jacques, Time-dependent Maxwell’s equations with charges in singular geometries, Comput. MethodsAppl. Mech. Engrg., vol. 196, pp 665–681, (2006)

[82] Benabdallah Assia, Dermenjian Yves and Le Rousseau Jerome, Carleman estimatesfor the one-dimensional heat equation with a discontinuous coefficient and applica-tions, Comptes Rendus Mecanique, vol. 334, pp 582–586, (2006)

[83] Bonnet-BenDhia Anne-Sophie, Berriri Kamel et Joly Patrick, Regularisation del’equation de Galbrun pour l’aeroacoustique en regime transitoire, numero specialTAM TAM’05, ARIMA, vol. 5, pp 65–79, (2006)

[84] Bourgeois Laurent, Convergence rates for the quasi-reversibility method to solve theCauchy problem for Laplace’s equation, Inverse Problems, vol. 22, pp 413–430, (2006)

[85] Becache Eliane, Bonnet-BenDhia Anne-Sophie and Legendre Guillaume, Perfectlymatched layers for time-harmonic acoustics in the presence of a uniform flow, SIAMJournal on Numerical Analysis, vol. 44, pp 1191–1217, (2006)

[86] Cakoni Fioralba, Fares M’Barek and Haddar Houssem, Analysis of two linear sam-pling methods applied to electromagnetic imaging of buried objects, Inverse problems,vol. 22, pp 845–867, (2006)

[87] Chaigne Antoine, Derveaux Gregoire and Joly Patrick, Ameliorer la guitare acous-tique, Dossiers Pour la Science, vol. 52, pp 74–75, (2006)

[88] Chaigne Antoine, Joly Patrick and Rhaouti Leila, Le son des timbales, Dossiers Pourla Science, vol. 52, pp 66–72, (2006)

[89] Ciarlet Patrick, Jung Beate, Kaddouri Samir, Labrunie Simon and Zou Jun, TheFourier Singular Complement Method for the Poisson problem. Part II: axisymmetricdomains, Numerische Mathematik, vol. 102, pp 583–610, (2006)

[90] Ciarlet Patrick et Kaddouri Samir, Justification de la loi de Peek en electrostatique,C. R. Acad. Sci. Paris, Ser. I, vol. 343, pp 671–674, (2006)

[91] Clausel Marianne, Durufle Marc, Joly Patrick and Tordeux Sebastien, A mathematicalanalysis of the resonance of the finite thin slots, Applied Numerical Mathematics, vol.56, 10-11, pp 1432–1449, (2006)

[92] Cohen Gary, Ferrieres Xavier and Pernet Sebastien, Discontinuous Galerkin methodsfor Maxwell’s equations in the time domain, CRAS Physique, vol. 7, pp 494–500,(2006)

23

[93] Cohen Gary, Ferrieres Xavier and Pernet Sebastien, A spatial high-order hexahedraldiscontinuous Galerkin method to solve Maxwell’s equations in time domain, J. Com-put. Phys., vol. 217, pp 340–363, (2006)

[94] Collino Francis, Fouquet Thierry and Joly Patrick, Conservative space-time meshrefinement methods for the FDTD solution of Maxwell’s equations, Journal Compu-tational Physics, vol. 211, no. 1, pp 9–35, (2006)

[95] Diaz Julien and Joly Patrick, A time domain analysis of PML models in acoustics,Computer Methods in Applied Mechanics and Engineering, vol. 195, 29-32, pp 3820–3853, (2006)

[96] Durufle Marc, Haddar Houssem and Joly Patrick, High order generalized impedanceboundary conditions in electromagnetic scattering problems, C.R. Physique, vol. 7 (5),pp 533–542, (2006)

[97] Ezziani Abdelaaziz, Ondes dans les milieux poroelastiques-Analyse du modele de Biot,ARIMA, (2006)

[98] Haddar Houssem and Kress Rainer, Conformal mapping and an inverse impedanceboundary value problem, J. Inv. Ill-Posed Problems, vol. 14, pp 1–20, (2006)

[99] Haddar Houssem, Kusiak Steven and Sylvester John, The Convex Back-ScatteringSupport, SIAM J. Appl. Math., vol. 66(2), pp 591–615, (2006)

[100] Hechme Grace and Nechepurenko Yuri., Computing reducing subspaces of a largelinear matrix pencil, Russ. J. Numer. Anal. Math. Model., vol. 21 (3), pp 185–198,(2006)

[101] Joly Patrick, Li Jing-Rebecca and Fliss Sonia, Exact boundary conditions for peri-odic waveguides containing a local perturbation, Communications in ComputationalPhysics, vol. 1, 6, pp 945–973, (2006)

[102] Joly Patrick and Tordeux Sebastien, Asymptotic analysis of an approximate modelfor time harmonic waves in media with thin slots, M2AN Math. Model. Numer. Anal,vol. 40 (1), pp 63–97, (2006)

[103] Joly Patrick and Tordeux Sebastien, Matching of asymptotic expansions for wavepropagation in media with thin slots I: The asymptotic expansion, Multiscale Modelingand Simulation: A SIAM Interdisciplinary Journal, vol. 5 (1), pp 304–336, (2006)

[104] Le Rousseau Jerome, Fourier-integral-operator approximation of solutions to first-order hyperbolic pseudodifferential equations I: convergence in Sobolev Spaces, Comm.Partial Differential Equations, vol. 31, pp 867–906, (2006)

[105] Le Rousseau Jerome and Hormann Gunther, Fourier-integral-operator approxima-tion of solutions to first-order hyperbolic pseudodifferential equations II: microlocalanalysis, J. Math. Pures Appl., vol. 86, pp 403–426, (2006)

[106] Lenoir Marc, Influence coefficients for variational integral equations, C. R. Acad.Sci., vol. 343, pp 561–564, (2006)

[107] Li Jing-Rebecca, Low order approximation of the spherical nonreflecting boundarykernel for the wave equation, Linear Algebra and its Applications, vol. 415, pp455–468, (2006)

24

2005

[108] Assous Franck, Ciarlet Patrick and Garcia Emmanuelle, Singular electromagneticfields: inductive approach, C. R. Acad. Sci. Paris, Ser. I, vol. 341, pp 605–610, (2005)

[109] Ben Abda Amel, Delbary Fabrice and Haddar Houssem, On the use of thereciprocity-gap functional in inverse scattering from planar cracks, Math. ModelsMethods Appl. Sci., vol. 15 (10), pp 1553–1574, (2005)

[110] Bonnet-BenDhia Anne-Sophie, Drissi Dorra et Gmati Nabil, Mathematical analysisof the acoustic diffraction by a muffler containing perforated ducts, Math. ModelsMethods Appl. Sci., vol. 15, n◦ 7, pp 1059–1090, (2005)

[111] Bourgeois Laurent, A mixed formulation of quasi-reversibility to solve the Cauchyproblem for Laplace’s equation, Inverse Problems, vol. 21, pp 1087–1104, (2005)

[112] Becache Eliane, Chaigne Antoine, Derveaux Gregoire and Joly Patrick, Numericalsimulation of a guitar, Comput. and Structures, vol. 83, no 2-3, pp 107–126, (2005)

[113] Becache Eliane, Derveaux Gregoire and Joly Patrick, An efficient numerical methodfor the resolution of the Kirchhoff-Love dynamic plate equation, Numer. MethodsPartial Differential Equations, vol. 21, issue 2, pp 323–348, (2005)

[114] Becache Eliane, Joly Patrick and Rodrıguez Jeronimo, Space-time mesh refinementfor elastodynamics. Numerical results, Comput. Methods Appl. Mech. Engrg., vol.194, pp 355–366, (2005)

[115] Becache Eliane and Kiselev Aleksei, Non-stationary elastic wavefields from anapodized normal transducer. Near-field asymptotics and numerics, Acta Acusticaunited with Acustica, vol. 91, no. 5, pp 822–830, (2005)

[116] Ciarlet Patrick, Augmented formulations for solving Maxwell equations, ComputerMethods in Applied Mechanics and Engineering, vol. 194, pp 559–586, (2005)

[117] Ciarlet Patrick and Ciarlet Philippe G., Another approach to linearized elasticityand a new proof of Korn’s inequality, Mathematical Models and Methods in AppliedSciences, vol. 15, pp 259–271, (2005)

[118] Ciarlet Patrick, Jung Beate, Kaddouri Samir, Labrunie Simon and Zou Jun, TheFourier Singular Complement Method for the Poisson problem. Part I: prismatic do-mains, Numerische Mathematik, vol. 101, pp 423–450, (2005)

[119] Cohen Gary and Fauqueux Sandrine, Mixed spectral finite elements for the linearelasticity system in unbounded domains, SIAM J. Sci. Comput., vol. 26 (3), pp 864–884, (2005)

[120] Colton David and Haddar Houssem, An Application of the Reciprocity Gap Func-tional to Electromagnetic Inverse Scattering Theory, Inverse Problems, vol. 21 (1),pp 383–398, (2005)

[121] Diaz Julien and Joly Patrick, Robust high order non-conforming finite element for-mulation for time domain fluid-structure interaction, J. Comput. Acoust., vol. 13, no.3, pp 403–431, (2005)

25

[122] Diaz Julien and Joly Patrick, An analysis of higher order boundary conditions forthe wave equation, SIAM J. Appl. Math., vol. 65, no. 5, pp 1547–1575, (2005)

[123] Gugercin Serkan and Li Jing-Rebecca, Smith-Type methods for balanced truncationof large sparse systems, Lecture Notes in Computational Science and Engineering,vol. 45, (2005)

[124] Haddar Houssem, Joly Patrick and Nguyen Hoai-Minh, Generalized impedanceboundary conditions for scattering by strongly absorbing obstacles: the scalar case,Math. Models Methods Appl. Sci., vol. 15, no. 8, pp 1273–1300, (2005)

[125] Haddar Houssem and Kress Rainer, Conformal mappings and inverse boundary valueproblems, Inverse Problems, vol. 21, pp 935–953, (2005)

[126] Hechme Grace, Nechepurenko Yuri and Sadkane Miloud., On numerical spectralanalysis of the hydrodynamic equations, Russ. J. Numer. Anal. Math. Model., vol. 20(2), pp 115–129, (2005)

[127] Job Stephane, Luneville Eric and Mercier Jean-Francois, Diffraction of an acousticwave by a plate in a uniform flow : a numerical approach, Journal of ComputationalAcoustics, vol. 13, (2005)

[128] Joly Patrick and Rodrıguez Jeronimo, An Error Analysis of Conservative Space-Time Mesh Refinement Methods for the 1D Wave Equation, SIAM J. Numer. Anal.,vol. 43, pp 825–859, (2005)

[129] Pernet Sebastien, Ferrieres Xavier and Cohen Gary, High Spatial Order Finite Ele-ment Method to Solve Maxwell’s Equations in Time Domain, IEEE Trans on Anten-nas and Propagation, vol. 53 (9), (2005)

6.4 Publications in Conferences and Workshops

2008

[130] Assous Franck and Ciarlet Patrick, A multiscale approach for solving Maxwell’sequations in waveguides with conical inclusions, Springer, ICCS’08, Lecture Notes inComputer Science, vol. 5102, pp 331–340, (2008)

[131] Baronian Vahan, Bonnet-BenDhia Anne-Sophie, Luneville Eric and Lhemery Alain,Numerical simulation of non destructive testing experiments in an elastic waveguide,Ultrasonic Wave Propagation in Non Homogeneous Media, Springer, (2008)

[132] Baronian Vahan, Bonnet-BenDhia Anne-Sophie and Luneville Eric, Coupling ofmodal method and finite element method for the diffraction elastic guided waves, GDR”Etude de la propagation ultrasonore en vue du controle non destructif”, Brunel,(2008)

[133] Baronian Vahan, Bonnet-BenDhia Anne-Sophie, Luneville Eric and ChambeyronColin, Scattering by a defect in an elastic waveguide : Coupling of finite elements andmodal representations, Acoustics’08 - Paris, (2008)

[134] Baronian Vahan, Bonnet-BenDhia Anne-Sophie, Luneville Eric and Lhemery Alain,Numerical simulation of non destructive testing experiments in an elastic waveguide,GDR ”Etude de la propagation ultrasonore en vue du controle non destructif”, Anglet,(2008)

26

[135] Baronian Vahan, Lhemery Alain and Bonnet-BenDhia Anne-Sophie, Simulationof non destructive inspections and acoustic emission measurements involving guidedwaves, Anglo-French Physical Acoustics Conference (AFPAC) - Arcachon (France),(2008)

[136] Bonnet-BenDhia Anne-Sophie, Ciarlet Patrick et Zwolf Carlo Maria, Etude de for-mulations elements finis en presence d’une interface entre un dielectrique et unmetamateriau, NUMELEC, (2008)

[137] Bonnet-BenDhia Anne-Sophie, Goursaud Benjamin, Hazard Christophe and PrietoAndres, Finite element computation of leaky modes in stratified waveguides, 5emesjournees du GDR ”Etude de la propagation ultrasonore en vue du controle non de-structif”, Anglet, june, (2008)

[138] Bonnet-BenDhia Anne-Sophie, Mercier Jean-Francois, Millot Florence and PernetSebastien, A finite element method for time harmonic acoustics in arbitrary flows,Acoustics’08, (2008)

[139] Bourgeois Laurent, Stabilite conditionnelle pour les problemes elliptiques mal poses: influence de la regularite du bord, Premier congres de la SM2A, Rabat (Maroc),6-8/02/2008, (2008)

[140] Bourgeois Laurent and Luneville Eric, The method of quasi-reversibility to solvethe Cauchy problems for elliptic partial differential equations, Special Issue : SixthInternational Congress on Industrial Applied Mathematics (ICIAM07), Wiley, vol. 7,pp 104201–104202, (2008)

[141] Bourgeois Laurent and Luneville Eric, The linear sampling method in a waveguide: a formulation based on modes, Special Issue : Sixth International Conference onInverse Problems in Engineering: Theory and Practice (6ICIPE), IOP, Journal ofPhysics: Conference Series, vol. 135, pp 012023, (2008)

[142] Bourgeois Laurent and Luneville Eric, The linear sampling method in a waveguide: a formulation based on modes, Conference ICIPE 2008, VVF Dourdan, Dourdan(France), 15-19/6/2008, (2008)

[143] Becache Eliane, Some contributions to Perfectly Matched Layers, WCCM8 / EC-COMAS 2008, June 30 –July 5, 2008, Venice, Italy, (2008)

[144] Durufle Marc, Elements finis d’ordre eleve, CANUM 2008, (2008)

[145] Fliss Sonia, Wave propagation in locally perturbed periodic media, Conference ”EDPet applications 2008”, Hammamet (Tunisie), (2008)

[146] Joly Patrick, Couplage entre potentiels retardes et methodes de Galerkin dis-continues. Applications en acoustique, Inauguration de la Chaire ModelisationMathematique et Simulation Numerique, Ecole Polytechnique, Octobre 2008, (2008)

[147] Joly Patrick, Numerical Methods for Wave Prtopagation in locally perturbed Peri-odic Media, Mathematical Topics in Electromagnetic Fields and Wave Propagation,Karsruhe (Allemagne), (2008)

[148] Joly Patrick, Higher order explicit time stepping and optimal CFL condition for sec-ond order hyperbolic problems second order hyperbolic problems, Numerical Methodsfor Evolution Equations, Heraklion (Crete) Evolution Equations, Heraklion (Crete),(2008)

27

[149] Joly Patrick, Rodrıguez Jeronimo and Verhille Emmanuel, Coupling DiscontinuousGalerkin Methods and Retarded Potentials for Time Dependent Wave PropagationProblems, 5th European Congress in Computational Methods in Applied Sciencesand Engineering, (2008)

[150] Li Jing-Rebecca, A fast time stepping method for evaluating fractional integrals,Fractional Differentiation and its Applications, (2008)

[151] Rodrıguez Jeronimo, La methode de domaines fictifs pour la diffraction d’ondes avecde conditions aux limites de Neumann, Journee Thematique ”Frontieres immergeeset applications”, LATP, Marseille, (2008)

[152] Semin Adrien, Propagation of acoustic waves in junction of thin slots, CEMRACS2008, (2008)

2007

[153] Baronian Vahan, Bonnet-BenDhia Anne-Sophie and Luneville Eric, Coupling ofmodal decomposition and finite element method for the diffraction of Lamb wavesin elastic waveguide, Anglo-French Physical Acoustics Conference (AFPAC) - Frejus(France), (2007)

[154] Baronian Vahan, Bonnet-BenDhia Anne-Sophie and Luneville Eric, Transparentboundary conditions for the harmonic diffraction problem in an elastic waveguide,8th International Conference on Mathematical and Numerical Aspects of Waves(WAVES’07), Reading, (2007)

[155] Ben Amar Chokri, Gmati Nabil, Hazard Christophe and Ramdani Karim, Numericalstudy of time reversal in a 2D waveguide, 8th International Conference on Mathemat-ical and Numerical Aspects of Waves (WAVES’07), Reading, (2007)

[156] Bonnet-BenDhia Anne-Sophie, Le traitement des frontieres artificielles en simula-tion des ondes : le cas des guides d’ondes en regime periodique etabli, Convergencesmathematiques franco-maghrebines, Nice, (2007)

[157] Bonnet-BenDhia Anne-Sophie, Ciarlet Patrick and Zwolf Carlo-Maria, Time-harmonic wave transmission problems with sign-shifting material coefficients, 8thInternational Conference on Mathematical and Numerical Aspects of Waves(WAVES’07), Reading, (2007)

[158] Bonnet-BenDhia Anne-Sophie, Dakhia Ghania, Hazard Christophe et ChorfiLahcene, Diffraction par un defaut dans un guide ouvert, TAMTAM (Tendances dansles Applications Mathematiques en Tunisie, Algerie, Maroc), Alger, (2007)

[159] Bonnet-BenDhia Anne-Sophie, Duclairoir Eve-Marie and Mercier Jean-Francois,Finite element simulation of time-harmonic aeroacoustics in a shear flow, 13thAIAA/CEAS Aeroacoustics Conference, Proceeding of the 13th AIAA/CEAS Aeroa-coustics Conference, (2007)

[160] Bonnet-BenDhia Anne-Sophie, Mercier Jean-Francois, Millot Florence and PernetSebastien, A low Mach model for time harmonic acoustics in arbitrary flows, 8th Inter-national Conference on Mathematical and Numerical Aspects of Waves (WAVES’07),Reading, (2007)

28

[161] Bourgeois Laurent and Luneville Eric, The method of quasi-reversibility to solve theCauchy problem for elliptic PDE, Conference ICIAM 2007, ETH, Zurich (Suisse),16-20/7/2007, (2007)

[162] Becache Eliane, Joly Patrick et Rodrıguez Jeronimo, Presentation et analyse desmethodes de raffinement de maillage espace-temps conservatives pour des problemesde propagation d’ondes, 8eme Colloque en Calcul des Structures. Giens, France, (2007)

[163] Claeys Xavier, Theoretical justification of Pocklington’s equation for diffraction bythin wires, Workshop Methodes Asymptotiques en electromagnetisme, 20eme An-niversaire du CERFACS, Toulouse, (2007)

[164] Claeys Xavier, Theoretical justification of Pocklington’s equation for diffractionbythin wires, WAVES, Reading Angleterre, (2007)

[165] Claeys Xavier and Collino Francis, A generalized Holland model for wave diffractionby thin wires, International Conference on Electromagnetics in Advanced Applica-tions, ICEAA, Turin Italie, pp 269–272, (2007)

[166] Claeys Xavier, Collino Francis and Durufle Marc, A generalized Holland model forwave diffraction by thin wires, Conference on Computational Electromagnetism andAcoustics, Oberwolfach Allemagne, (2007)

[167] Claeys Xavier, Collino Francis and Durufle Marc, A generalized Holland model forwave diffraction by thin wires, Cinquiemes journees singulieres, Luminy France, (2007)

[168] Claeys Xavier, Collino Francis and Durufle Marc, A generalized Holland model forwave diffraction by thin wires, WONAPDE, Concpcion Chili, (2007)

[169] Fliss Sonia, Joly Patrick and Li Jing-Rebecca, Exact boundary conditions for locallyperturbed 2d-periodic plane, Mathematical and numerical aspects of wave propagation,Reading, (2007)

[170] Fliss Sonia, Joly Patrick and Li Jing-Rebecca, Computation of harmonic wave propa-gation in infinite periodic media, Report No.5/2007 of Mathematisches Forschungsin-stitut Oberwolfach ”Computational Electromagnetism and Acoustics, Oberwolfach.,(2007)

[171] Gilbert J.C., Joly Patrick and Rodrıguez Jeronimo, Higher order time stepping forsecond order hyperbolic problems and optimal CFL conditions, The 8th InternationalConference on Mathematical and Numerical Aspects of Waves, (2007)

[172] Haddar Houssem , Li Jing-Rebecca and Matignon Denis, Efficient solution of a waveequation with fractional order dissipative terms, Waves, (2007)

[173] Hesthaven Jan S., Maday Yvon and Rodrıguez Jeronimo, Reduced basis outputbounds for harmonic wave propagation problems, The 8th International Conferenceon Mathematical and Numerical Aspects of Waves, (2007)

[174] Hesthaven Jan Sickmann, Maday Yvon and Rodrıguez Jeronimo, Certified DG-FEM Reduced Basis Methods and Output Bounds for the Harmonic Maxwell’s Equa-tions, International Workshop on High-Order Finite Element Methods (HOFEM).Herrsching, Germany, (2007)

29

[175] Joly Patrick, Analyse de la stabilite d’un modele pour la propagation d’ondes dans untuyau de faible epaisseur parcouru par un fluide en ecoulement, TAMTAM’07, Tipaza(Algerie), (2007)

[176] Joly Patrick, Higher order time stepping with optimal CFL conditions for secondorder hyperbolic problems, WONAPDE. Concepcion, Chili, (2007)

[177] Joly Patrick, Modeles approches pour la propagation d’ondes dans un reseau de fentesminces, Workshop Methodes Asymptotiques en electromagnetisme, 20eme Anniver-saire du CERFACS, Toulouse, (2007)

[178] Joly Patrick, Transparent boundary conditions, wave propagation and periodic media,ENUMATH07, Graz, Autriche, (2007)

[179] Joly Patrick et Semin Adrien, Etude de la propagation d’ondes dans des jonctionsde fentes minces, Seminaire ACSIOM, Montpellier II, (2007)

[180] Li Jing-Rebecca and Greengard Leslie, Fast recursive marching (FRM) method: afast solver for the heat equation, Mathematics Department Seminar, Courant Insti-tute, Columbia University, University of Michigan, Dartmouth College, (2007)

[181] Li Jing-Rebecca and Greengard Leslie, Fast and accurate computation of layer heatpotentials, 6th International Congress on Industrial and Applied Mathematics, (2007)

[182] Li Jing-Rebecca and Greengard Leslie, Fast solver for the heat equation in unboundeddomains, 6th International Congress on Industrial and Applied Mathematics, (2007)

[183] Luneville Eric and Mercier Jean-Francois, Finite element simulation of time-harmonic aeroacoustics with a generalized impedance boundary condition, 13thAIAA/CEAS Aeroacoustics Conference, Proceeding of the 13th AIAA/CEASAeroacoustics Conference, (2007)

2006

[184] Assous Franck and Ciarlet Patrick, Vlasov-Maxwell simulations in singular geome-tries, Springer, ICCS’06, Lecture Notes in Computer Science, vol. 3994, pp 623–630,(2006)

[185] Berriri Kamel, Bonnet-BenDhia Anne-Sophie et Joly Patrick, Approche analytiqueet numerique pour l’aeroacoustique dans un ecoulement discontinu, 2eme Journees surles Equations Differentielles et leurs Applications. Annaba, (2006)

[186] Berriri Kamel, Bonnet-BenDhia Anne-Sophie and Joly Patrick, Application ofthe Cagniard-de Hoop method to aeroacoustics, MATHmONDES 2, 2nd BRITISH-FRENCH WAVES MEETING, Manchester, (2006)

[187] Bonnet-BenDhia Anne-Sophie, Propagation du son dans un ecoulement : simulationnumerique du regime periodique etabli, 38e Congres National d’Analyse Numerique,Guidel, (2006)

[188] Bonnet-BenDhia Anne-Sophie, Acoustic scattering in presence of a mean flow, Work-shop on Advances in Computational Scattering, BIRS, Banff, (2006)

[189] Bourgeois Laurent, Chambeyron Colin and Kusiak Steven, Locating an obstacle ina 3D finite depth ocean using the convex scattering support, Conference PICOF 2006,Universite de Nice, Nice (France), 5-7/4/2006, (2006)

30

[190] Claeys Xavier, Modele mathematique pour les fils minces, AIMS Systemes Dy-namiques, Equations Differentielles et Applications, Poitiers France, (2006)

[191] Garcia Emmanuelle and Herlem Y., Evaluation de l’efficacite de blindage en champmagnetique apporte par le ferraillage d’un batiment lors d’un impact foudre, CEM06,pp 265–267, (2006)

[192] Garcia Emmanuelle and Vezinet Rene, CPML for a time-biased PIC code in cylin-drical coordinates, Wiley-VCH Verlag GmbH, ICNAMM 2006, pp 388–392, (2006)

[193] Hazard Christophe, Computing resonances for large time simulation of scatteringphenomena, MAFELAP 2006, (2006)

[194] Hazard Christophe and Luneville Eric, An enhanced multimodal method for nonuniform waveguides, Mathmondes 2 (journees franco-britaniques), (2006)

[195] Joly Patrick, Variational methods for time dependent non destructive testing exper-iments, Conference AFPAC’06, Wye, United Kingdom, (2006)

[196] Joly Patrick, Analyse asymptotique de modeles de propagation d’ondes dans desmilieux comportant des fentes minces, Seminaire du College de France, Paris, (2006)

[197] Joly Patrick, Approximate models for linear aeroacoustics in nearly discontinuousflows, Third Workshop on Numerical Methods for Evolution Problems, Heraklion(Crete), (2006)

[198] Luneville Eric, Exact Transparent Condition for Time-Harmonic Maxwell Equationsin a Waveguide, Advances in Scattering Theory, Banff, Canada, (2006)

[199] Luneville Eric and Mercier Jean-Francois, Simulation numerique par elements finisd’une multi-diffusion acoustique, 8eme Congres de la Societe Francaise d’Acoustique,(2006)

[200] Luneville Eric et Mercier Jean-Francois, Simulation numerique de la propagationd’onde en presence d’un ecoulement uniforme et d’une paroi traitee, 8eme Congresde la Societe Francaise d’Acoustique, (2006)

2005

[201] Ben Abda A, Delbary Fabrice and Haddar Houssem, On the use of the ReciprocityGap functional in inverse scattering from planar impedent cracks, Waves 2005, Prov-idence, USA, (2005)

[202] Ben Amar Chokri, Gmati Nabil, Hazard Christophe and Ramdani Karim, Mathe-matical and numerical study of a time reversal mirror, Seventh International Con-ference on Mathematical and Numerical Aspects of Wave Propagation, Providence,USA, (2005)

[203] Ben Amar Chokri, Gmati Nabil, Hazard Christophe et Ramdani Karim, Retourne-ment temporel dans un guide d’ondes, etude theorique et numerique, Premier CongresInternational de Conception et Modelisation des Systemes Mecaniques, Hammamet,Tunisie, (2005)

[204] Ben Amar Chokri, Gmati Nabil, Hazard Christophe and Ramdani Karim,Modelisation mathematique d’un miroir a retournement temporel, TAMTAM’05 (Ten-dances dans les Applications Mathematiques - Tunisie, Algerie, Maroc), Tunis, (2005)

31

[205] Berriri Kamel et Bonnet-BenDhia Anne-Sophie, Modele approche pour la simulationde l’instabilite de Kelvin-Helmhotz dans un ecoulement discontinu, Jounees d’Etudessur la Propagation Acoustique en Ecoulement, Angers, (2005)

[206] Berriri Kamel, Bonnet-BenDhia Anne-Sophie et Joly Patrick, Regularisation pourl’aeroacoustique en regime transitoire, 2eme colloque sur les Tendances et Applica-tions Mathematiques en Tunisie, Algerie, Maroc, Tunis, (2005)

[207] Berriri Kamel, Bonnet-BenDhia Anne-Sophie and Joly Patrick, Numerical analysisof time-dependent Galbrun equation in an infinite duct, 7th International Conferenceon Mathematical and Numerical Aspects of Waves (WAVES’05), Providence, (2005)

[208] Bonnet-BenDhia Anne-Sophie, Une methode hybride PML/EFL pour la diffractiondans un guide d’ondes, Journees Melina, Le Croisic, (2005)

[209] Bonnet-BenDhia Anne-Sophie, Couches Absorbantes Parfaitement Adaptees pour laSimulation Numerique des Ondes de Lamb, Journees d’Acoustique Physique Sous-marine et Ultra-Sonore, Aix-en-Provence, (2005)

[210] Bonnet-BenDhia Anne-Sophie, PML pour l’aeroacoustique en regime periodiqueetabli, Laboratoire de Mecanique et Acoustique, CNRS, Marseille, (2005)

[211] Bonnet-BenDhia Anne-Sophie, PML pour l’aeroacoustique en regime periodiqueetabli, Laboratoire de Mathematiques Appliquees, Pau, (2005)

[212] Bonnet-BenDhia Anne-Sophie, Ciarlet Patrick and Zwolf Carlo-Maria, A varia-tional approach for wave transmission between media with opposite sign dielectricconstant, 7th International Conference on Mathematical and Numerical Aspects ofWaves (WAVES’05), Providence, (2005)

[213] Bonnet-BenDhia Anne-Sophie, Ciarlet Patrick and Zwolf Carlo Maria, A varia-tional approach for wave transmission between media with opposite sign dielectricconstants, 7th International Conference on Mathematical and Numerical Aspects ofWaves (WAVES’05), (2005)

[214] Bonnet-BenDhia Anne-Sophie, Duclairoir Eve-Marie et Mercier Jean-Francois, Sim-ulation numerique du rayonnement d’ondes acoustiques dans un ecoulement cisailleen regime periodique etabli, Journees d’Etudes sur la Propagation Acoustique enEcoulement, Angers, (2005)

[215] Bonnet-BenDhia Anne-Sophie, Duclairoir Eve-Marie and Mercier Jean-Francois,Numerical simulation of acoustic propagation in a shear flow in the frequency do-main, 7th International Conference on Mathematical and Numerical Aspects of Waves(WAVES’05), Providence, (2005)

[216] Bonnet-BenDhia Anne-Sophie and Mercier Jean-Francois, Influence of the couplingof an elastic plate with a confined flow on resonances, 7th International Conferenceon Mathematical and Numerical Aspects of Waves (WAVES’05), Providence, (2005)

[217] Bourgeois Laurent, Localisation d’un obstacle dans un ocean 3D de profondeur finie,Journees Melina, Le Croisic, (2005)

[218] Bourgeois Laurent, Une formulation mixte de la methode de quasi-reversibilite pourles EDP elliptiques, 8emes Journees d’Analyse Numerique et Optimisation, ENIM,Rabat (Maroc), 14-16/12/2005, (2005)

32

[219] Bourgeois Laurent, Chambeyron Colin and Kusiak Steven, Locating an obstacle ina 3D waveguide using the scattering support theory, Conference Waves 2005, BrownUniversity, Providence (USA), 20-24/6/2005, (2005)

[220] Becache Eliane, Bonnet-BenDhia Anne-Sophie and Legendre Guillaume, PerfectlyMatched Layers for time-harmonic acoustics in the presence of a uniform flow,7th International Conference on Mathematical and Numerical Aspects of Waves(WAVES’05), Providence, (2005)

[221] Becache Eliane, Joly Patrick and Rodrıguez Jeronimo, Analysis of a space-time meshrefinement method for wave propagation problems, The Sixth European Conference onNumerical Mathematics and Advanced Applications (ENUMATH’05). Universidad deSantiago de Compostela, Spain, (2005)

[222] Becache Eliane, Joly Patrick and Rodrıguez Jeronimo, A Lagrange multiplier freespace-time mesh refinement method for wave propagation problems, 7th InternationalConference on Mathematical and Numerical Aspects of Waves (WAVES’05). BrownUniversity (USA), (2005)

[223] Cakoni Fioralba and Haddar Houssem, A new Linear Sampling Method for the Elec-tromagnetic Imaging of Buried Objects, Mathematical Method in Scattering Theoryand Biomedical Engineering, pp 19–30, (2005)

[224] Cakoni Fioralba, Fares M’Barek and Haddar Houssem, Imaging buried objects fromelectromagnetic measurements, Waves’05, Brown, USA, (2005)

[225] Cakoni Fioralba and Haddar Houssem, A new Linear Sampling Method for the Elec-tromagnetic Imaging of Buried Objects, Sventh International Workshop in ScatteringTheory and Biomedical Engineering, Mathematical Method in Scattering Theory andBiomedical Engineering, pp 19–30, (2005)

[226] Castel Nicolas, Une methode de Galerkin discontinue appliquee a l’equation de Gal-brun, Jounees d’Etudes sur la propagation acoustique en ecoulement, Angers, (2005)

[227] Castel Nicolas, Discontinuous Galerkin Qr. Applications in aeroacoustics, CEM-RACS, CIRM, Marseille, (2005)

[228] Castel Nicolas and Cohen Gary, A Discontinuous Galerkin Method with Qr spec-tral elements for aeroacoustics, 7th International Conference on Mathematical andNumerical Aspects of Waves (WAVES’05), Brow University(USA), 2005, (2005)

[229] Chambeyron Colin, Nouveaux Solveurs pour Melina++, Journees Melina, Le Croisic,(2005)

[230] Ciarlet Patrick and Jamelot Erell, Continuous Galerkin methods for solving Maxwellequations in 3D geometries, Springer, Numerical mathematics and advanced applica-tions (ENUMATH 2005), Santiago de Compostela, Espagne, pp 547–554, (2005)

[231] Cohen Gary and Grob Pascal, Mixed Higher Order Spectral Elements for Vibroa-coustics in Time Domain, Waves2005, Brown University, Providence(USA), (2005)

[232] Delbary Fabrice, Reconstruction of the impedance of a crack from acoustical mea-surements, Waves2005, Brown University, Providence(USA), (2005)

[233] Delbary Fabrice, Reconstruction de l’impedance d’une fissure a partir de mesuresacoustiques, Conference TAMTAM’05, Tunis, (2005)

33

[234] Durufle Marc, Elements finis d’ordre eleve pour l’equation de Helmholtz, JourneesMelina. Le Croisic, (2005)

[235] Durufle Marc and Cohen Gary, Comparison of Higher-Order Finite Element Methodsfor the 2-D Maxwell’s Equations in Frequency Domain, Waves2005, Brown University,Providence(USA), (2005)

[236] Durufle Marc, Haddar Houssem et Joly Patrick, Asymptotic models for Electromag-netic Scattering from Strongly Absorbing Obstacles, Waves2005, Brown University,Providence(USA), (2005)

[237] Ezziani Abdelaaziz, Modelisation mathematique et numerique de la propagation d’ondes dans les milieux viscoelastiques et poroelastiques, Seminaire de l’IFP, Rueil-Malmaison, France, (2005)

[238] Ezziani Abdelaaziz, Ondes dans les milieux poroelastiques, elements finis d’ordreeleves, TAMTAM’05, Tunis, Tunisia, (2005)

[239] Ezziani Abdelaaziz, A mixed finite element method and an explicit scheme for wavepropagation in viscoelastic time domain, Jano8, Rabat, Morocco, (2005)

[240] Grob Pascal, Coupling finite elements and integral equations in time domain vibroa-coustics, Waves2005, Brown University, Providence(USA), (2005)

[241] Grob Pascal, Elements finis mixtes spectraux d’ordres eleves pour la vibroacoustiqueinstationnaire, Journees Melina. Le Croisic, (2005)

[242] Grob Pascal, Regularisation de l’equation de Galbrun pour l’aeroacoustique enregime transitoire, Conference TAMTAM, Tunis, (2005)

[243] Haddar Houssem, Asymptotic Models in Electromagnetism : Example of GeneralizedImpedance Boundary Conditions For Strongly Absorbing Media, JSO ”ModelisationEM”, ONERA, Toulouse, (2005)

[244] Haddar Houssem, Imaging buried objects from electromagnetic measurements,Waves05, Brown University , Providence, USA, (2005)

[245] Haddar Houssem, Electrostatic Imaging Based on Conformal Mapping, ConferenceGAMM’05, Luxembourg, (2005)

[246] Haddar Houssem, Generalized impedance boundary conditions for strongly absorbingscatterers: various approximations and error analysis, Seminar at the University ofGottingen, Germany, (2005)

[247] Hazard Christophe et Loret Francois, Decomposition en modes resonnants pourle probleme de tenue a la mer, application numerique, 10emes Journees del’Hydrodynamique, Poitiers, (2005)

[248] Hazard Christophe and Loret Francois, The Singularity Expansion Method appliedto a transient fluid-structure interaction problem, Seventh International Conferenceon Mathematical and Numerical Aspects of Wave Propagation, Providence, USA,(2005)

[249] Hazard Christophe and Loret Francois, Decomposition en modes resonnantspour le probleme de tenue a la mer, application numerique, 10emes Journees del’Hydrodynamique, Poitiers, (2005)

34

[250] Hechme Grace, Computing eigenvalues of the discretized Navier-Stokes model by thegeneralized Jacobi-Davidson method, Springer, Proceedings of the Third InternationalConference, NAA 2004, Rousse, Bulgaria, Revised Selected Papers, vol. 3401, (2005)

[251] Jamelot Erell, Nodal finite element methods for solving Maxwell equations, ENU-MATH’05, Santiago de Compostela (Espagne), (2005)

[252] Joly Patrick, Propagation of electromagnetic waves in a locally perurbes periodicwaveguide, Workshop TiSCoPDE05, Weierstrass Institute, Berlin, (2005)

[253] Joly Patrick, Exact bounbery conditions for locally perturbed periodic waveguides,Waves Meeting, University of Reading, Angleterre, (2005)

[254] Joly Patrick, Modeles approch’es pour la propagation du son dabs des ’ecoulementsdiscontinus, Journees Scientifiques du GDR Ondes, Besancon, (2005)

[255] Joly Patrick, Propagation of Waves in Locally Perturber Periodic Media, WorkshopWIP2005, CIRM, Marseille, (2005)

[256] Joly Patrick, Propagation of Waves in a Locally Perturbed Periodic Media, WorkshopWIP2005, (2005)

[257] Joly Patrick, Modeles approches pour la modelisation de la propagation du son dansdes ecoulements discontinus, ournees Scientifiques du GDR Ondes, Besancon, (2005)

[258] Joly Patrick, Propagation of Electromagnetic Waves in a Locally Perturbed PeriodicWaveguide, Workshop TiSCoPDE05, (2005)

[259] Joly Patrick, Exact boundary conditions for locally perturbed periodic waveguides,Waves Meeting, University of Reading (England), (2005)

[260] Joly Patrick, Numerical methods for elastic wave propagation, conferences at theSummer School of GDR ONDES, Sup Elec, Gif-sur-Yvette, (2005)

[261] Joly Patrick, Exact boundary conditions for locally perturbed periodic waveguides,Enumath2005, Santiago de Compostela (Spain), (2005)

[262] Joly Patrick, Coupling retarded potentials and finite elements for time domain vi-broacoustics, Enumath2005, Santiago de Compostela (Spain), (2005)

[263] Joly Patrick, Mathematical analysis of time domain PML’s, Waves2005, Brown Uni-versity, Providence(USA), (2005)

[264] Joly Patrick, Li Jing-Rebecca and Fliss Sonia, Exact boundary conditions for periodicwaveguides with a local perturbation, (2005)

[265] Joly Patrick and Tordeux Sebastien, Matching of asymptotic expansions for the wavepropagation in media with thin slot, WAVES 2005, Brown University, Providence,(2005)

[266] Luneville Eric and Mercier Jean-Francois, Generalized impedance boundary condi-tions in acoustics with flow, Waves 2005, Providence, USA, (2005)

[267] Tordeux Sebastien, Matching of asymptotic expansions for the wave propagation inmedia with thin slot, TiSCoPDE workshop (New Trends in Simulation and Controlof PDEs), Berlin, Allemagne, (2005)

35

6.5 Internal Reports

2008

[268] Bourgeois Laurent, Conditional stability for ill-posed elliptic Cauchy problems : thecase of C1,1 domains (part I), Rapport de recherche INRIA, (2008)

[269] Bourgeois Laurent and Darde Jeremi, Conditional stability for ill-posed ellipticCauchy problems : the case of Lipschitz domains (part II), Rapport de rechercheINRIA, (2008)

[270] Joly Patrick and Semin Adrien, Propagation of an acoustic wave in a junction oftwo thin slots, INRIA Research Report, INRIA Research Report, vol. RR-6708, ppR1–R61, (2008)

2007

[271] Bonnet-BenDhia Anne-Sophie, Durufle Marc, Joly Patrick and Patrick, Constructionet analyse mathematique d’un modele approche pour la propagation d’ondes acous-tiques dans un tuyau mince parcouru par un fluide en ecoulement, INRIA ResearchReport, INRIA Research Report, vol. RR-6363, pp R1–R47, (2007)

[272] Claeys Xavier, Asymptotic analysis for the solution to the Helmholtz problem in theexterior of a finite thin straight wire, (2007)

[273] Claeys Xavier and Collino Francis, Augmented Galerkin schemes for the numericalsolution of scattering by small obstacles, (2007)

[274] Haddar Houssem and Joly Patrick, Construction and analysis of approximatemodels for electromagnetic scattering from imperfectly conducting scatterers, INRIA,5839, (2007)

2006

[275] Becache Eliane, Rodrıguez Jeronimo and Tsogka Chrysoula, On the convergence ofthe fictitious domain method for wave propagation problems, Technical Report 5802INRIA, pp 37, (2006)

[276] Claeys Xavier, Haddar Houssem et Joly Patrick, Etude d’un probleme modele pourla diffraction par des fils minces par developpements asymptotiques raccordes Cas 2D,(2006)

[277] Tordeux Sebastien, Un probleme de Laplace non standard en milieu non borne,INRIA, (2006)

2005

[278] Ciarlet Patrick, Jung Beate, Kaddouri Samir, Labrunie Simon and Zou Jun, TheFourier Singular Complement Method for the Poisson problem. Part III: implementa-tion issues, Rapport de Recherche SFB393/05-12, Technische Universitat Chemnitz,(2005)

[279] Joly Patrick, Lenoir Marc and Tordeux Sebastien, Modeles asymptotiques pour lapropagation des ondes dans des milieux comportant des fentes, INRIA, (2005)

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Documents

Temporary document - IRISA