Abstract

This paper concerns an adaptive boundary element method applied to solve structural shape optimization problems in the two-dimensional linear elasticity. Two types of element discretization are employed for the analysis; adaptive boundary element discretization on the specified boundary under successive geometrical change and finite element discretization for the remaining region, which is invariant during iteration for optimization. The system equation has smaller fully-populated submatrices and the scheme becomes more effective. Boundary elements are adapted to obtain the boundary variables correctly without manual operation based on deep insight.

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