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Title: A parallel version of a multigrid algorithm for isotropic transport equations

Abstract

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.

Authors:
; ;  [1];  [2];
  1. (Univ. of Colorado, Boulder, CO (United States). Program in Applied Mathematics)
  2. (Los Alamos National Lab., NM (United States). Computer Research Group)
Publication Date:
OSTI Identifier:
5008876
DOE Contract Number:  
FG02-90ER25086
Resource Type:
Journal Article
Journal Name:
SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (United States)
Additional Journal Information:
Journal Volume: 15:2; Journal ID: ISSN 0196-5204
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Manteuffel, T., McCormick, S., Yang, G., Morel, J., and Oliveira, S. A parallel version of a multigrid algorithm for isotropic transport equations. United States: N. p., 1994. Web. doi:10.1137/0915032.
Manteuffel, T., McCormick, S., Yang, G., Morel, J., & Oliveira, S. A parallel version of a multigrid algorithm for isotropic transport equations. United States. doi:10.1137/0915032.
Manteuffel, T., McCormick, S., Yang, G., Morel, J., and Oliveira, S. Tue . "A parallel version of a multigrid algorithm for isotropic transport equations". United States. doi:10.1137/0915032.
@article{osti_5008876,
title = {A parallel version of a multigrid algorithm for isotropic transport equations},
author = {Manteuffel, T. and McCormick, S. and Yang, G. and Morel, J. and Oliveira, S.},
abstractNote = {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.},
doi = {10.1137/0915032},
journal = {SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (United States)},
issn = {0196-5204},
number = ,
volume = 15:2,
place = {United States},
year = {1994},
month = {3}
}