Implementing techniques for elliptic problems on vector processors
Abstract
To provide the arithmetic power required by large-scale numerical simulations, the fastest computers today incorporate vector processing. Two types of vector architecture are defined, and the variation in performance that can occur on a vector processor as a function of algorithm and implementation, the consequences of this variation, and the performance of some basic operators on the two classes of vector architecture are discussed. The performance of some higher-level operators that should be used with caution is also considered. Then the implementation of techniques for elliptic problems using the operators discussed previously is reviewed. Included are Fast Poisson solvers, dissection, and point, line, block, and conjugant gradient schemes. Finally, some areas of research are noted. 1 figure. (RWR)
- Authors:
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- OSTI Identifier:
- 5147897
- Report Number(s):
- LA-UR-80-2343; CONF-800699-3
- DOE Contract Number:
- W-7405-ENG-36
- Resource Type:
- Conference
- Resource Relation:
- Conference: Elliptic problem solvers conference, Santa Fe, NM, USA, 30 Jun 1980
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; COMPUTERS; PERFORMANCE; PROGRAMMING; DIFFERENTIAL EQUATIONS; NUMERICAL SOLUTION; ALGORITHMS; CALCULATION METHODS; COMPUTERIZED SIMULATION; VECTORS; EQUATIONS; MATHEMATICAL LOGIC; SIMULATION; TENSORS; 990200* - Mathematics & Computers
Citation Formats
Buzbee, B L. Implementing techniques for elliptic problems on vector processors. United States: N. p., 1980.
Web. doi:10.1016/B978-0-12-632620-8.50009-7.
Buzbee, B L. Implementing techniques for elliptic problems on vector processors. United States. https://doi.org/10.1016/B978-0-12-632620-8.50009-7
Buzbee, B L. 1980.
"Implementing techniques for elliptic problems on vector processors". United States. https://doi.org/10.1016/B978-0-12-632620-8.50009-7. https://www.osti.gov/servlets/purl/5147897.
@article{osti_5147897,
title = {Implementing techniques for elliptic problems on vector processors},
author = {Buzbee, B L},
abstractNote = {To provide the arithmetic power required by large-scale numerical simulations, the fastest computers today incorporate vector processing. Two types of vector architecture are defined, and the variation in performance that can occur on a vector processor as a function of algorithm and implementation, the consequences of this variation, and the performance of some basic operators on the two classes of vector architecture are discussed. The performance of some higher-level operators that should be used with caution is also considered. Then the implementation of techniques for elliptic problems using the operators discussed previously is reviewed. Included are Fast Poisson solvers, dissection, and point, line, block, and conjugant gradient schemes. Finally, some areas of research are noted. 1 figure. (RWR)},
doi = {10.1016/B978-0-12-632620-8.50009-7},
url = {https://www.osti.gov/biblio/5147897},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 01 00:00:00 EST 1980},
month = {Tue Jan 01 00:00:00 EST 1980}
}