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Efficient iterative solvers for structural dynamics problems
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DOI：10.1016/j.compstruc.2004.06.001.png)
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Abstract
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Direct solvers are commonly used in implicit finite element codes for structural dynamics problems. This study explores an alternative approach to solving the resulting linear systems by using preconditioned iterative schemes such as the preconditioned conjugate gradient algorithm and its variants. Preconditioners used in this study include approximate Cholesky factorization, block Jacobi, and the symmetric Gauss-Seidel over-relaxation scheme. The effects of various preconditioners and ordering schemes on the solution time and required storage are investigated. Performance results of these iterative solver are compared against the MA57 direct solver routine of the commercial Harwell Software Library. (C) 2004 Elsevier Ltd. All rights reserved.
Keywords:
structural mechanics
finite element methods
iterative linear solvers
Krylov subspace methods
preconditioners
incomplete Cholesky factorization
sparse direct solvers
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