Implementing techniques for elliptic problems on vector processors

Conference · Tue Jan 01 00:00:00 EST 1980

DOI:https://doi.org/10.1016/B978-0-12-632620-8.50009-7· OSTI ID:5147897

Buzbee, B L

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)

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5147897
• Report Number(s): LA-UR-80-2343; CONF-800699-3
• Resource Relation: Conference: Elliptic problem solvers conference, Santa Fe, NM, USA, 30 Jun 1980
• Country of Publication: United States
• Language: English

Related Subjects

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