Finite element analysis of varitional crimes for a quasilinear elliptic problem in 3D

Authors
Korotov, S Krizek, M
Citation
S. Korotov et M. Krizek, Finite element analysis of varitional crimes for a quasilinear elliptic problem in 3D, NUMER MATH, 84(4), 2000, pp. 549-576
Citations number
25
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
84
Issue
4
Year of publication
2000
Pages
549 - 576
Database
ISI
SICI code
0029-599X(200002)84:4<549:FEAOVC>2.0.ZU;2-D
Abstract
We examine a finite element approximation of a quasilinear boundary value e lliptic problem in a three-dimensional bounded convex domain with a smooth boundary. The domain is approximated by a polyhedron and a numerical integr ation is taken into account. We apply linear tetrahedral finite elements an d prove the convergence of approximate solutions on polyhedral hedral domai ns in the W-2(1)-norm to the true solution without any additional regularit y assumptions.