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High performance sparse static solver in finite element analyses with loop-unrolling
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DOI：10.1016/S0965-9978(02)00128-X.png)
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Symmetric positive definite equation solvers play a very important role in promoting the efficiency of the finite element analyses (FEA). The focus of this paper is to describe a new storage scheme-cell-sparse storage scheme-and the corresponding algorithm of the direct symmetric positive definite equation solver in FEA. Loop-unrolling (or simply unrolling) techniques are incorporated into sparse solvers to enhance the vector speed. Sparse storage schemes, out-of-core strategy, and numerical factorization are discussed. The performance in terms of elapsed time and memory requirement of different solvers are demonstrated by finding static displacement vectors for practical engineering problems. Numerical tests indicate that the cell-sparse storage scheme and the two-level unrolling can improve the performance of symmetric positive definite equation solvers significantly. (C) 2003 Elsevier Science Ltd. All rights reserved.
Keyword:
high performance computing
sparse matrix
finite element analysis
mathematical software
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