非同次・非線形問題に対する境界要素法の一定式と解法

概要

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A new formulation is presented in this paper for the boundary element analysis of inhomogeneous-nonlinear potential-type problems. The formulation aims to transform the domain integral relevant to the inhomogeneous-nonlinear term to the corresponding boundary integral, different from the well-populated schemes for the purpose, such as the Dual Reciprocity and Multiple Reciprocity Methods. The inhomogeneous-nonlinear term is first approximated with a polynomial in terms of the space coordinates with unknown coefficients. Integral equations on the selected points (computing points) on the boundary as well as inside domain are employed to determine the abovementioned unknow coefficients using the least square method. Numbers of computing points affect the accuracy of the result, which is discussed by some numerical examples in two-dimensional space.
一般社団法人日本機械学会の論文
1998-01-25