重合メッシュ法による複合材料解析で現れる線形方程式に対するマスキング前処理つきCG法の有効性

抄録

We choose s-version FEM as a useful tool for analysing of composite materials. The drawback of s-version FEM is to make it difficult to solve a linear system of equations which stems from discretization by s-version FEM. Therefore we consider how to efficiently solve the linear systems. In this paper we describe an efficient implementation of matrix-vector computation, and propose a masking preconditioner of the CG method. Through numerical experiments we verify effectiveness of the proposed masking preconditioner suited to a rich variety of composite materials analysis.