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Mixed-dimensional, symmetric coupling of FEM and BEM. (English) Zbl 1054.74729
Summary: With the Symmetric Galerkin Boundary Element Method (SGBEM), FEM-like stiffness matrices can be produced which are suitable for coupling the Boundary Element Method (BEM) and the Finite Element Method (FEM). Here, we focus on the mixed-dimensional coupling in linear elasticity, i.e. three-dimensional BEM-domains will be coupled with two-dimensional finite shell elements. After briefly recalling the basics of the SGBEM, a direct kinematic coupling scheme will be presented, where the BE-domain is treated as a finite macro element. When assembling the stiffness matrix, the different kinematic degrees of freedom at the interface of both formulations require special attention. The accuracy of the method used is demonstrated by a numerical example.
MSC:
74S05Finite element methods in solid mechanics
74S15Boundary element methods in solid mechanics
74K25Shells (solid mechanics)