MULTILEVEL PRECONDITIONED QMR METHODS FOR UNSTRUCTURED MESH COMPUTATION

Authors
TURNER WD FLAHERTY JE DEY S SHEPHARD MS
Citation
Wd. Turner et al., MULTILEVEL PRECONDITIONED QMR METHODS FOR UNSTRUCTURED MESH COMPUTATION, Computer methods in applied mechanics and engineering, 149(1-4), 1997, pp. 339-351
Citations number
27
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
149
Issue
1-4
Year of publication
1997
Pages
339 - 351
Database
ISI
SICI code
0045-7825(1997)149:1-4<339:MPQMFU>2.0.ZU;2-O
Abstract
We present a variant of the Quasi-Minimal Residual (QMR) algorithm of Freund and Nachtigal with a preconditioner based on the Algebraic Mult ilevel (AMLI) algorithm of Axelsson and Vassilevski. This combination provides an effective solution method for indefinite algebraic systems and is tested by application to finite element discretizations of the Helmholtz equation. The implementation is applicable with both ii-and p-refinements, and easily extends to a parallel environment.