A parallel version of a multigrid algorithm for isotropic transport equations

Journal Article · Tue Mar 01 00:00:00 EST 1994 · SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (United States)

DOI:https://doi.org/10.1137/0915032· OSTI ID:5008876

Manteuffel, T; McCormick, S; Yang, G ^[1]; Morel, J ^[2]; Oliveira, S

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1. Univ. of Colorado, Boulder, CO (United States). Program in Applied Mathematics
2. Los Alamos National Lab., NM (United States). Computer Research Group

The focus of this paper is on a parallel algorithm for solving the transport equations in a slab geometry using multigrid. The spatial discretization scheme used is a finite element method called the modified linear discontinuous (MLD) scheme. The MLD scheme represents a lumped version of the standard linear discontinuous (LD) scheme. The parallel algorithm was implemented on the Connection Machine 2 (CM2). Convergence rates and timings for this algorithm on the CM2 and Cray-YMP are shown.

• DOE Contract Number: FG02-90ER25086
• OSTI ID: 5008876
• Journal Information: SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (United States), Vol. 15:2; ISSN 0196-5204
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
NEUTRON DIFFUSION EQUATION
ALGORITHMS
FINITE ELEMENT METHOD
PARALLEL PROCESSING
SLABS
SUPERCOMPUTERS
CALCULATION METHODS
COMPUTERS
DIFFERENTIAL EQUATIONS
DIGITAL COMPUTERS
EQUATIONS
MATHEMATICAL LOGIC
NUMERICAL SOLUTION
PROGRAMMING
663610* - Neutron Physics- (1992-)
990200 - Mathematics & Computers