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

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

Research output: Contribution to journalArticlepeer-review

183 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 languageEnglish
Pages (from-to)222-237
Number of pages16
JournalJournal of Computational Physics
Volume109
Issue number2
DOIs
StatePublished - Dec 1993
Externally publishedYes

Fingerprint

Dive into the research topics of 'On a finite-element method for solving the three-dimensional maxwell equations'. Together they form a unique fingerprint.

Cite this