Effectiveness of masking preconditioner of CG method for linear systems in the composite materials analysis by s-version FEM analysis

Abstract

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.