TY - JOUR
T1 - On a finite-element method for solving the three-dimensional maxwell equations
AU - Assous, F.
AU - Degond, P.
AU - Heintze, E.
AU - Raviart, A.
AU - Segre, J.
PY - 1993/12
Y1 - 1993/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000171411&partnerID=8YFLogxK
U2 - 10.1006/jcph.1993.1214
DO - 10.1006/jcph.1993.1214
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AN - SCOPUS:0000171411
SN - 0021-9991
VL - 109
SP - 222
EP - 237
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 2
ER -