STRESS ANALYSIS BY FINITE ELEMENT PROCEDURE FOR OVERLAPPING MESHES BASED ON DOMAIN DECOMPOSITION APPROACH

Abstract

In this work, a finite element procedure for overlapping meshes based on domain decomposition approach, which is developed by the authors for the stable heat equation, is applied to linear elastic problems. In the proposed procedure, solutions on different meshes are connected on the domain interface by using the Lagrange multiplier method extended from the Nitsche's method in order to avoid the limited selection of discretization of the Lagrange multiplier. The local domain in which kinetic boundary condition is not involved and the stiffness matrix is singular is recongnized as “floating” subdomains. In this work, a new stabilizing technique by using independent intermidiate nodes and virtual spring is proposed.