Iterative methods for solving large-scale problems of structural mechanics using multi-core computers
| Autor: | S.Yu. Fialko |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Iterative and incremental development
Factorization Iterative method Computer science Mechanical Engineering Conjugate gradient method MathematicsofComputing_NUMERICALANALYSIS Incomplete Cholesky factorization Finite element method Civil and Structural Engineering Cholesky decomposition Sparse matrix Computational science |
| Zdroj: | Archives of Civil and Mechanical Engineering. 14:190-203 |
| ISSN: | 1644-9665 |
| Popis: | The paper studies the conjugate gradient method for solving systems of linear algebraic equations with symmetric sparse matrices that arise when the finite-element method is applied to the problems of structural mechanics. The main focus is on designing effective preconditioning and parallelizing the method for multi-core desktop computers. Preconditioning is based on the incomplete Cholesky “by value” factorization method and implemented based on the technique of sparse matrices, which allows increasing convergence considerably without a significant increase of the computer's resources. Parallelization is implemented for the incomplete factorization as well as for iterative process stages. The method is integrated into the SCAD software package ( www.scadsoft.com ). The paper includes a discussion of the results of calculations done with direct and iterative methods for large-scale design models of tall buildings, originally from the SCAD Soft 1 problem collection. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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