TY - JOUR
T1 - Numerical approximation of the maxwell equations in inhomogeneous media by a P1 conforming finite element method
AU - Assous, F.
AU - Degond, P.
AU - Segré, J.
PY - 1996/10/15
Y1 - 1996/10/15
N2 - The aim of this paper is to present an extension of the P1 conforming finite element method for the time-dependent Maxwell equations that has been previously exposed. We shall consider inhomogeneous media with the piecewise constant dielectric and magnetic parameters, and precisely, the interface of two such media. By analogy with the idea developed, we propose a method based on the dualization and then the approximation of the interface conditions in a way consistent with the one derived for the fields and the Lagrange multipliers of the divergence constraints inside the domain.
AB - The aim of this paper is to present an extension of the P1 conforming finite element method for the time-dependent Maxwell equations that has been previously exposed. We shall consider inhomogeneous media with the piecewise constant dielectric and magnetic parameters, and precisely, the interface of two such media. By analogy with the idea developed, we propose a method based on the dualization and then the approximation of the interface conditions in a way consistent with the one derived for the fields and the Lagrange multipliers of the divergence constraints inside the domain.
UR - http://www.scopus.com/inward/record.url?scp=0030587980&partnerID=8YFLogxK
U2 - 10.1006/jcph.1996.0217
DO - 10.1006/jcph.1996.0217
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AN - SCOPUS:0030587980
SN - 0021-9991
VL - 128
SP - 363
EP - 380
JO - Journal of Computational Physics
JF - Journal of Computational Physics
IS - 2
ER -