On a finite-element method for solving the three-dimensional maxwell equations

F. Assous; P. Degond; E. Heintze; A. Raviart; J. Segre

doi:10.1006/jcph.1993.1214

On a finite-element method for solving the three-dimensional maxwell equations

F. Assous
, P. Degond
, E. Heintze
, A. Raviart
, J. Segre

CEA-Centre d’etude de Limeil-Valenton
Université Paris-Saclay
INRIA Saclay–Île-de-France and CMAP. École Polytechnique

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

195 Scopus citations

Abstract

The aim of this paper is to present a method for solving the time-domain three-dimensional Maxwell equations, which can be coupled with a particle solver. For this purpose, Maxwell's equations are reformulated as a constrained wave equation system, with Lagrange multipliers associated to the conditions Δ · B - 0 and Δ · E - ρ/ϵ₀. We approximate both the fields and the Lagrange multipliers with a finite element method using a Taylor Hood element.

Original language	English
Pages (from-to)	222-237
Number of pages	16
Journal	Journal of Computational Physics
Volume	109
Issue number	2
DOIs	https://doi.org/10.1006/jcph.1993.1214
State	Published - Dec 1993
Externally published	Yes

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10.1006/jcph.1993.1214

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abstract = "The aim of this paper is to present a method for solving the time-domain three-dimensional Maxwell equations, which can be coupled with a particle solver. For this purpose, Maxwell's equations are reformulated as a constrained wave equation system, with Lagrange multipliers associated to the conditions Δ · B - 0 and Δ · E - ρ/ϵ0. We approximate both the fields and the Lagrange multipliers with a finite element method using a Taylor Hood element.",

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AU - Raviart, A.

AU - Segre, J.

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On a finite-element method for solving the three-dimensional maxwell equations

Abstract

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