境界要素解析における数値計算の効率化 : 第1報, 連立一次方程式

概要

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The boundary element method requires only discretization on the boundary but memory capacity equivalent to the square of total degrees of freedom and computation time in proportion to the cube of total degrees of freedom. For a large scale problem, because much time is consumed by communication between the main computer and the external memory device, the elapsed time is much greater than the CPU time. With the aim of reducing the time, the authors propose herein a new method called "diagonal escalation method" which allows solving simultaneous linear equations with about 1/4 of memory capacity that is normally required. The authors also explored the possibility of using the present method to optimize the solution of contact problems and eigenvalue problems, and cited examples of computations that demonstrate the present method's efficacy.
社団法人日本機械学会の論文
1998-03-25