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

Journal Article · Tue Nov 30 23:00:00 EST 1993 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1993.1214· OSTI ID:7116406

Assous, F; Degond, P; Heintze, E; Raviart, P A; Segre, J ^[1]

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1. CEA-Centre d'Etude de Limeil-Valenton, Villeneuve-Saint-Georges (France)

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 [del][center dot]B=0 and [del][center dot]E=[rho]/[epsilon][sub 0]. We approximate both the fields and the Lagrange multipliers with a finite element method using a Taylor-Hood element. 20 refs., 3 figs.

• OSTI ID: 7116406
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 109:2; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700340* -- Plasma Waves
Oscillations
& Instabilities-- (1992-)
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOLTZMANN-VLASOV EQUATION
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE ELEMENT METHOD
MAXWELL EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
THREE-DIMENSIONAL CALCULATIONS