ポテンシャル問題における感度解析のための境界積分方程式の定式化

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  • Boundary integral formulations for sensitivity analysis of potential problems.
  • ポテンシャル モンダイ ニ オケル カンド カイセキ ノ タメ ノ キョウカイ

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This paper presents a series of new boundary integral formulations to obtain the shape design sensitivities of two-dimensional potential problems. The so-called direct differentiation method is used in the derivation process. The integral equations for potential and also its potential gradient are both differentiated explicitly with respect to the shape design variable. An integral expression concerning the potential gradient is derived from the weighted residual form in which the gradient of the fundamental solution is used as the weighting function. A computational scheme based on the boundary element method is proposed for the solution of the newly derived set of integral equations for design sensitivities.

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