A PARALLEL VERSION OF A MULTIGRID ALGORITHM FOR ISOTROPIC TRANSPORT-EQUATIONS

Citation
T. Manteuffel et al., A PARALLEL VERSION OF A MULTIGRID ALGORITHM FOR ISOTROPIC TRANSPORT-EQUATIONS, SIAM journal on scientific computing, 15(2), 1994, pp. 474-493
Citations number
12
Categorie Soggetti
Computer Sciences",Mathematics
ISSN journal
10648275
Volume
15
Issue
2
Year of publication
1994
Pages
474 - 493
Database
ISI
SICI code
1064-8275(1994)15:2<474:APVOAM>2.0.ZU;2-C
Abstract
The focus of this paper is on a parallel algorithm for solving the tra nsport equations in a slab geometry using multigrid. The spatial discr etization scheme used is a finite element method called the modified l inear discontinuous (MLD) scheme. The MLD scheme represents a lumped v ersion of the standard linear discontinuous (LD) scheme. The parallel algorithm was implemented on the Connection Machine 2 (CM2). Convergen ce rates and timings for this algorithm on the CM2 and Cray-YMP are sh own.