Finite elements and mass lumping for Maxwell's equations: The 3D case

Alexandre Elmkies; Patrick Joly

doi:10.1016/s0764-4442(97)83557-4

Finite elements and mass lumping for Maxwell's equations: The 3D case

Alexandre Elmkies
, Patrick Joly

INRIA Institut National de Recherche en Informatique et en Automatique

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a new family of tetrahedral edge finite elements for the resolution of Maxwell equations which solves the problem of mass lumping including the case of anisotropic media. The schemes obtained are analyzed through their numerical dispersion on regular meshes.

Translated title of the contribution	Éléments finis d'arête et condensation de masse pour les équations de Maxwell: Le cas de dimension 3
Original language	English
Pages (from-to)	1217-1222
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	325
Issue number	11
DOIs	https://doi.org/10.1016/s0764-4442(97)83557-4
Publication status	Published - 1 Jan 1997

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title = "Finite elements and mass lumping for Maxwell's equations: The 3D case",

abstract = "We construct a new family of tetrahedral edge finite elements for the resolution of Maxwell equations which solves the problem of mass lumping including the case of anisotropic media. The schemes obtained are analyzed through their numerical dispersion on regular meshes.",

author = "Alexandre Elmkies and Patrick Joly",

year = "1997",

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T1 - Finite elements and mass lumping for Maxwell's equations

T2 - The 3D case

AU - Elmkies, Alexandre

AU - Joly, Patrick

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N2 - We construct a new family of tetrahedral edge finite elements for the resolution of Maxwell equations which solves the problem of mass lumping including the case of anisotropic media. The schemes obtained are analyzed through their numerical dispersion on regular meshes.

AB - We construct a new family of tetrahedral edge finite elements for the resolution of Maxwell equations which solves the problem of mass lumping including the case of anisotropic media. The schemes obtained are analyzed through their numerical dispersion on regular meshes.

UR - https://www.scopus.com/pages/publications/0031539343

U2 - 10.1016/s0764-4442(97)83557-4

DO - 10.1016/s0764-4442(97)83557-4

M3 - Article

AN - SCOPUS:0031539343

SN - 0764-4442

VL - 325

SP - 1217

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JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 11

ER -

Finite elements and mass lumping for Maxwell's equations: The 3D case

Abstract

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