Parallel direct solver for solving systems of linear equations resulting from finite element method on multi-core desktops and workstations

This paper presents the PARFES—parallel sparse direct solver for solving systems of linear equations resulting from the finite element method applied to problems of structural and solid mechanics. PARFES is intended for use on shared-memory multi-core desktops, laptops and workstations. The solver’s...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) Vol. 70; no. 12; pp. 2968 - 2987
Main Author: Fialko, S.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.12.2015
Subjects:
Algorithms
Block matrices
Blocking
Computation
Finite element method
High performance
Linear equations
Mathematical analysis
Multicore computers
Multithreading
Solvers
Sparse direct solver
Workstations
Finite element method
High performance
Multithreading
Multicore computers
Sparse direct solver
Block matrices
ISSN:0898-1221, 1873-7668
Online Access:Get full text
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Summary:This paper presents the PARFES—parallel sparse direct solver for solving systems of linear equations resulting from the finite element method applied to problems of structural and solid mechanics. PARFES is intended for use on shared-memory multi-core desktops, laptops and workstations. The solver’s high performance relies on the use of a specific algorithm for the procedure of block matrix multiplication using AVX instructions for the vectorization of computations, and the parallelizing approach that ensures a balanced processor load. The block looking-left factorization algorithm allows for the use of disk memory if the dimensionality of problem exceeds the capacity of RAM.
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ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2015.10.009