Adaptive finite element methods for elliptic equations with non-smooth coefficients

Authors
Bernardi, C Verfurth, R
Citation
C. Bernardi et R. Verfurth, Adaptive finite element methods for elliptic equations with non-smooth coefficients, NUMER MATH, 85(4), 2000, pp. 579-608
Citations number
13
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
85
Issue
4
Year of publication
2000
Pages
579 - 608
Database
ISI
SICI code
0029-599X(200006)85:4<579:AFEMFE>2.0.ZU;2-5
Abstract
We consider a second-order elliptic equation with discontinuous or anisotro pic coefficients in a bounded two- or three dimensional domain, and its fin ite-element discretization. The aim of this paper is to prove some a priori and a posteriori error estimates in an appropriate norm, which are indepen dent of the variation of the coefficients. Mathematics Subject Classificati on (1991): 65N30.