Efficient iterative solvers for structural dynamics problems
| Autor: | Sami A. Kilic, Faisal Saied, Ahmed H. Sameh |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Mathematical optimization
business.industry Mechanical Engineering Linear system MathematicsofComputing_NUMERICALANALYSIS Solver Incomplete Cholesky factorization Computer Science::Numerical Analysis Finite element method Computer Science Applications Software Modeling and Simulation Conjugate gradient method Computer Science::Mathematical Software Applied mathematics General Materials Science business Civil and Structural Engineering Block (data storage) Cholesky decomposition Mathematics |
| Zdroj: | Computers & Structures. 82:2363-2375 |
| ISSN: | 0045-7949 |
| DOI: | 10.1016/j.compstruc.2004.06.001 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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