二次元ポテンシャル問題における超特異積分方程式と正則化された境界積分方程式による境界のポテンシャル勾配の評価法

概要

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This paper presents a new scheme for the evaluation of the hypersingular and regularized boundary integral equations for the boundary potential gradients. In the process of taking the limit of the exterior collocation point to an arbitrary point on the boundary, no interpolation function is employed and continuity of the potential gradients at the collocation point is taken into account strictly. The regularized boundary integral equation for the boundary potential gradients is also derived and applicability of the conventional C^0 elements to the discretization of the hypersingular and regularized boundary integral equations is discussed. A new interpolation scheme that satisfies the C^1 continuity of the potential at any point on the boundary is presented for the potential and the flux, and is effectiveness is demonstrated through a numerical example.
一般社団法人日本機械学会の論文
1998-03-25