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Symmetric coupling of multi-zone curved Galerkin boundary elements with finite elements in elasticity. (English) Zbl 0986.74073
The paper presents an efficient symmetric coupling of a symmetric Galerkin multi-zone curved boundary element method with a finite element method (FEM) for two-dimensional elastic problems. The existing collocation-based multi-zone boundary element methods are not symmetric. Thus, when they are coupled with FEM, it is very difficult to achieve the symmetry by increasing the computational work to solve the problem. Here the authors present a fully symmetric curved multi-zone Galerkin boundary element approach that is coupled to FEM in a completely symmetric fashion. The symmetry is achieved by symmetrically converting the boundary zones into equivalent macro finite elements that are symmetric, so that symmetry in the coupling is retained.
MSC:
74S15Boundary element methods in solid mechanics
74S05Finite element methods in solid mechanics
74B05Classical linear elasticity