Fully discrete finite element approaches for time-dependent Maxwell's equations

Authors
Ciarlet, P Zou, J
Citation
P. Ciarlet et J. Zou, Fully discrete finite element approaches for time-dependent Maxwell's equations, NUMER MATH, 82(2), 1999, pp. 193-219
Citations number
22
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
82
Issue
2
Year of publication
1999
Pages
193 - 219
Database
ISI
SICI code
0029-599X(199904)82:2<193:FDFEAF>2.0.ZU;2-L
Abstract
A fully discrete finite element method is used to approximate the electric field equation derived from time-dependent Maxwell's equations in three dim ensional polyhedral domains. Optimal energy-norm error estimates are achiev ed for general Lipschitz polyhedral domains. Optimal L-2-norm error estimat es are obtained for convex polyhedral domains.