Two Variational Approaches for Domain Decomposition Problems Solved by SGBEM with Non-Conforming Discretizations
Two original approaches for solution of elastic boundary value problems with domain decomposition (DDBVP) using the symmetric Galerkin boundary element method (SGBEM) are presented. Each approach is based on a variational principle, a difference between them consists in the treatment of the coupling conditions which connect the solutions through an interface. The developed computer codes are able to deal with curved interfaces in a domain decomposition problem discretized by non-matching meshes of linear elements along the interfaces. The effectiveness of the methods is documented by a numerically solved example.