ADAPTIVE ERROR CONTROL FOR MULTIGRID FINITE-ELEMENT METHODS

Authors
HEIDELBERG RB GOTEBORG CJ RANNACHER R
Citation
Rb. Heidelberg et al., ADAPTIVE ERROR CONTROL FOR MULTIGRID FINITE-ELEMENT METHODS, Computing, 55(4), 1995, pp. 271-288
Citations number
8
Categorie Soggetti
Computer Sciences","Computer Science Theory & Methods
Journal title
Computing → ACNP
ISSN journal
0010485X
Volume
55
Issue
4
Year of publication
1995
Pages
271 - 288
Database
ISI
SICI code
0010-485X(1995)55:4<271:AECFMF>2.0.ZU;2-G
Abstract
We consider the problem of adaptive error control in the finite elemen t method including the error resulting from inexact solution of the di screte equations. We prove a posteriori error estimates for a prototyp e elliptic model problem discretized by the finite element method with a canonical multigrid algorithm. The proofs are based on a combinatio n of so-called strong stability and the orthogonality inherent in both the finite element method and the multigrid algorithm.