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Preconditioned Iterative Methods for Linear Equations Arising from the Boundary Element Method |
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| Authors: | Michio Sakakihara Munenori Morimoto Hiroshi Niki Naotaka Okamoto |
| Affiliation: | 1. Department of Information Science,Faculty of Informatics , Okayama University of Science , Ridai-cho, 700-0005, Okayama, Japan sakaki@mis.ous.ac.jp;3. Graduate School of Information Science , Okayama University of Science , Ridai-cho, Okayama, Japan;4. Department of Information Science,Faculty of Informatics , Okayama University of Science , Ridai-cho, 700-0005, Okayama, Japan;5. Department of Applied Chemistry , Faculty of Engineering,Okayama University of Science , Ridai-cho, Okayama, Japan |
| Abstract: | A precondition for the Gauss–Seidel iterative method to solve a linear system of equations arising from the boundary element method for the Laplace and convective diffusion with first-order reaction problems is presented in this paper. The present precondition is based on the elementary matrix operation. We discuss the effect of the precondition in comparison with the Gauss elimination (GE) method in some numerical experiments. |
| Keywords: | Preconditioned iterative method Boundary element method Gauss elimination method |