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A Centered Second-Order Finite Volume Scheme for the Heterogeneous Maxwell Equations in Three Dimensions on Arbitrary Unstructured Meshes Serge Piperno, Malika Remaki, Loula Fezoui To cite this version: Serge Piperno, Malika Remaki, Loula Fezoui. A Centered Second-Order Finite Volume Scheme for the Heterogeneous Maxwell Equations in Three Dimensions on Arbitrary Unstructured Meshes. RR-4161, INRIA. 2001. <inria-00072461> HAL Id: inria-00072461 https://hal.inria.fr/inria-00072461 Submitted on 24 May 2006 HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci- entific research documents, whether they are pub- lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destin´ ee au d´ epˆ ot et ` a la diffusion de documents scientifiques de niveau recherche, publi´ es ou non, ´ emanant des ´ etablissements d’enseignement et de recherche fran¸cais ou ´ etrangers, des laboratoires publics ou priv´ es.

A Centered Second-Order Finite Volume Scheme for the ...Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France) Téléphone

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Page 1: A Centered Second-Order Finite Volume Scheme for the ...Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France) Téléphone

A Centered Second-Order Finite Volume Scheme for the

Heterogeneous Maxwell Equations in Three Dimensions

on Arbitrary Unstructured Meshes

Serge Piperno, Malika Remaki, Loula Fezoui

To cite this version:

Serge Piperno, Malika Remaki, Loula Fezoui. A Centered Second-Order Finite Volume Schemefor the Heterogeneous Maxwell Equations in Three Dimensions on Arbitrary UnstructuredMeshes. RR-4161, INRIA. 2001. <inria-00072461>

HAL Id: inria-00072461

https://hal.inria.fr/inria-00072461

Submitted on 24 May 2006

HAL is a multi-disciplinary open accessarchive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come fromteaching and research institutions in France orabroad, or from public or private research centers.

L’archive ouverte pluridisciplinaire HAL, estdestinee au depot et a la diffusion de documentsscientifiques de niveau recherche, publies ou non,emanant des etablissements d’enseignement et derecherche francais ou etrangers, des laboratoirespublics ou prives.

Page 2: A Centered Second-Order Finite Volume Scheme for the ...Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France) Téléphone

ISS

N 0

249-

6399

ISR

N IN

RIA

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--41

61--

FR

+E

NG

ap por t de r ech er ch e

THÈME 4

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

A centered second-order finite volume scheme for theheterogeneous Maxwell equations in three

dimensions on arbitrary unstructured meshes

Serge Piperno — Malika Remaki — Loula Fezoui

N° 4161

Avril 2001

Page 3: A Centered Second-Order Finite Volume Scheme for the ...Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France) Téléphone
Page 4: A Centered Second-Order Finite Volume Scheme for the ...Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France) Téléphone

Unité de recherche INRIA Sophia Antipolis2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France)

Téléphone : 04 92 38 77 77 - International : +33 4 92 38 77 77 — Fax : 04 92 38 77 65 - International : +33 4 92 38 77 65

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Dielectric

Metal

Free space

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wave incident

a perfect conductor a conductor (σ >> 1)

a dielectric layer (a slit) ( ε = 2)

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Page 27: A Centered Second-Order Finite Volume Scheme for the ...Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex (France) Téléphone

Unité de recherche INRIA Sophia Antipolis2004, route des Lucioles - B.P. 93 - 06902 Sophia Antipolis Cedex (France)

Unité de recherche INRIA Lorraine : Technopôle de Nancy-Brabois - Campus scientifique615, rue du Jardin Botanique - B.P. 101 - 54602 Villers lès Nancy Cedex (France)

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France)Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330 Montbonnot St Martin (France)

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ÉditeurINRIA - Domaine de Voluceau - Rocquencourt, B.P. 105 - 78153 Le Chesnay Cedex (France)

ISSN 0249-6399