High-order low dissipation conforming finite-element discretization of the Maxwell equations

Sébastien Jund; Stéphanie Salmon; Eric Sonnendrücker

doi:10.4208/cicp.100310.230511a

High-order low dissipation conforming finite-element discretization of the Maxwell equations

Sébastien Jund, Stéphanie Salmon, Eric Sonnendrücker

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

3 Scopus citations

Abstract

In this paper, we study high order discretization methods for solving the Maxwell equations on hybrid triangle-quad meshes. We have developed high order finite edge element methods coupled with different high order time schemes and we compare results and efficiency for several schemes. We introduce in particular a class of simple high order low dissipation time schemes based on a modified Taylor expansion.

Original language	English
Pages (from-to)	863-892
Number of pages	30
Journal	Communications in Computational Physics
Volume	11
Issue number	3
DOIs	https://doi.org/10.4208/cicp.100310.230511a
State	Published - Mar 2012
Externally published	Yes

Keywords

Edge finite element method
Mass lumping
Maxwell's equations
Time discretization schemes

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10.4208/cicp.100310.230511a

Cite this

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abstract = "In this paper, we study high order discretization methods for solving the Maxwell equations on hybrid triangle-quad meshes. We have developed high order finite edge element methods coupled with different high order time schemes and we compare results and efficiency for several schemes. We introduce in particular a class of simple high order low dissipation time schemes based on a modified Taylor expansion.",

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AB - In this paper, we study high order discretization methods for solving the Maxwell equations on hybrid triangle-quad meshes. We have developed high order finite edge element methods coupled with different high order time schemes and we compare results and efficiency for several schemes. We introduce in particular a class of simple high order low dissipation time schemes based on a modified Taylor expansion.

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KW - Mass lumping

KW - Maxwell's equations

KW - Time discretization schemes

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High-order low dissipation conforming finite-element discretization of the Maxwell equations

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Keywords

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