非線形境界条件を伴う問題の境界要素法解析の領域分割法と並列計算

概要

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The potential problem with nonlinear mixed boundary condition using BEM results in the problem for solving nonlinear algebraic equations. We usually solve the nonlinear algebraic equations by applying iterative scheme such as the Newton-Raphson method, which is not computationally efficient. Here, we propose a more efficient scheme compared with conventional methods, by applying domain decomposition we previously introduced to BEM analysis for parallel computing. The entire domain is decomposed into subdomains with fictitious boundary taken inside and therefore each subdomain becomes smaller. The size of resulting nonlinear equation is smaller and solved effectively. Radiation condition is thought as the nonlinear boundary condition in this paper. We investigate the relations between total computing times and mass of subregion with nonlinear boundary conditios for the two-dimensional steady-state heat transfer problem. Results suggest high utility of domain decomposition for the stated problem.
日本シミュレーション学会の論文
1997-06-15