hp-adaptive finite elements in electromagnetics

Authors
Vardapetyan, L Demkowicz, L
Citation
L. Vardapetyan et L. Demkowicz, hp-adaptive finite elements in electromagnetics, COMPUT METH, 169(3-4), 1999, pp. 331-344
Citations number
32
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN journal
00457825 → ACNP
Volume
169
Issue
3-4
Year of publication
1999
Pages
331 - 344
Database
ISI
SICI code
0045-7825(19990212)169:3-4<331:HFEIE>2.0.ZU;2-H
Abstract
A model problem for the steady-state form of Maxwell's equations is conside red. The problem is formulated in a weak form using a Lagrange multiplier, laying down a foundation for a general class of novel hp-adaptive FE approx imations. A convergence proof for curvilinear elements is presented. The pr oposed method is illustrated and verified by a series of 2D experiments whi ch include elements with curved boundaries and nonhomogeneous media. (C) 19 99 Elsevier Science S.A. All rights reserved.