PRECONDITIONING NONCONFORMING FINITE-ELEMENT METHODS

Authors
GOLDSTEIN CI
Citation
Ci. Goldstein, PRECONDITIONING NONCONFORMING FINITE-ELEMENT METHODS, SIAM journal on numerical analysis, 31(6), 1994, pp. 1623-1644
Citations number
24
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
31
Issue
6
Year of publication
1994
Pages
1623 - 1644
Database
ISI
SICI code
0036-1429(1994)31:6<1623:PNFM>2.0.ZU;2-5
Abstract
This paper is concerned with the H-1-condition number and singular val ue distribution of preconditioned nonselfadjoint discrete elliptic ope rators. In particular, a wide class of nonconforming finite element me thods are investigated. The main results give a precise interval on wh ich the singular values cluster. Results of this kind have an importan t bearing on the convergence behavior of the conjugate gradient method applied to the normal equations.