Coupling Method of Element-Free Galerkin Method and Boundary Element Method Using the Domain Decompostion Method

In this study, a new coupling method of Element-free Galerkin Method (EFGM) and Boundary Element Method (BEM) using the domain decomposition algorithm is presented for solving solid problems. In the proposed method, the problem domain is decomposed into EFGM and BEM sub-dmains that are partially overlapped and each sub-domain is analyzed independently by iteration technique. Then the coefficient matrices of EFGM and BEM sub-domains do not need to be combined, as required in the conventional coupling methods and the formulations of EFGM and BEM can be adopted as base programs for coupling only computer codes. In addition, some numerical examples are studied to verify stability and efficiency of the proposed method, in which numerical performance of the method is compared with that of conventional methods.