境界要素法とレベルセット法に基づく多目的トポロジー最適化の H マトリク ス法による高速化

抄録

In this paper, we discuss an acceleration with the H-matrix method of multi-objective topology optimisation using the boundary element method (BEM) and the level set method. In the sensitivity analysis for topology optimisations, we need to solve two boundary value problems; forward and adjoint problem. In the case that multiple objective functions are concerned, the number of boundary value problems to be solved increases in proportion to the number of the objective functions. We accelerate the sensitivity analysis for such problems with an accelerated LU decomposition or GMRES by the H-matrix method. We show the effectiveness of the proposed method by a numerical example of multi-objective topology optimisation in 2D electro-magnetic field.