The mortar method for the Maxwell's equations in 3D

Authors
Ben Belgacem, F Buffa, A Maday, Y
Citation
F. Ben Belgacem et al., The mortar method for the Maxwell's equations in 3D, CR AC S I, 329(10), 1999, pp. 903-908
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
329
Issue
10
Year of publication
1999
Pages
903 - 908
Database
ISI
SICI code
0764-4442(19991115)329:10<903:TMMFTM>2.0.ZU;2-7
Abstract
In this Note, we extend the mortar element method to the approximation of t he 3D Maxwell's equations by use of Nedelec's edge elements of second famil y. Integral coupling conditions are proposed in order to allow for nonmatch ing grids at the interfaces between subdomains and result in a globally non conforming approximation. The convergence analysis reveals that the method is optimal up to a root\ln h\ factor. (C) 1999 Academie des sciences/Editio ns scientifiques et medicales Elsevier SAS.