315 ポテンシャル問題に対する注目領域解の境界要素高速解法

概要

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A new technique of boundary element methods for 2D potential problems to obtain the solution only in a target region quickly was developed. This technique takes advantage of diffusion effects in Laplace fields. In fields governed by diffusion equations, high frequency disturbances of boundary conditions on non-target bounds far from the target region give little infection to the target region. In this technique, boundary conditions on non-target bound are transformed into Fourier series, and their only low frequency terms are utilized by using special weight functions for boundary integral equations. When the solutions only in a target region are needed especially in large size boundary value problems, this technique enable us to obtain them quickly and precisely with solving non-target solutions roughly.
一般社団法人日本機械学会の論文
2003-08-05