Distributed Processing of Finite-Element Method using Matrix Decomposition. Applied to the Structure of Truss
| Autor: | Yuji Nagano, Keiichiro Naito, Fumihiro Suzumura, Gonojo Katayama |
|---|---|
| Rok vydání: | 1995 |
| Předmět: |
Mathematical optimization
Band matrix Mechanical Engineering MathematicsofComputing_NUMERICALANALYSIS Single-entry matrix Industrial and Manufacturing Engineering LU decomposition law.invention Matrix decomposition symbols.namesake Matrix (mathematics) Gaussian elimination Mechanics of Materials law symbols Direct stiffness method Algorithm Mathematics Sparse matrix |
| Zdroj: | TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C. 61:2334-2339 |
| ISSN: | 1884-8354 0387-5024 |
| DOI: | 10.1299/kikaic.61.2334 |
| Popis: | The purpose of this study is to achieve decentralized processing of the finite-element method (FEM) by making use of matrix decomposition. For structural analysis of FEM, generally, the global stiffness matrix is a very large matrix which reflects the physical properties of the structure. The matrix decomposition can be used to transpose the global stiffness matrix with simple band matrices. The object of analysis in this study is a truss. The matrix decomposition is effective for the high-dimensional equation which decomposes a reduced-order equation. The computational process with analysis of FEM can be optimized such that the time complexity is minimized due to parallel processing. In this study, the matrix decomposed algorithm is derived for the analysis of a truss, and the time complexity and the arithmetic complexity are compared numerically. Results show that, the time complexity and the arithmetic complexity can be reduced to 29% and 26%, respectively. |
| Databáze: | OpenAIRE |
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