Performance Evaluation of Iterative Preconditioner Using Subdomain Eigen-mode in S-version Finite Element Method

Abstract

S-version Finite Element Method (SFEM) can superimpose several different meshes which is expected to reduce the computational cost and mesh generation cost compared to the standard FEM. However, as the number of mesh divisions becomes larger, the computational time becomes huge even using SFEM. In particular, the time required to solve simultaneous linear equations is enormous. In this study, we employ the iterative method as the solver for simultaneous linear equations, assuming the use of parallel computing, and aim to reduce computation time by using the preconditioning of iterative method. We apply deflated conjugate gradient method with eigen-modes to SFEM and evaluate the convergence of the number of iterations and computational time.