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Adaptive coupling of boundary elements and mixed finite elements for incompressible elasticity. (English) Zbl 0988.74072

Summary: The coupling of finite elements and boundary elements is analyzed, where in the FEM domain we assume an incompressible elastic material governed by a uniformly monotone operator and use a Stokes type mixed FEM. In the BEM domain, linear elasticity is considered. We prove existence and uniqueness of the solution and quasi-optimal convergence of Galerkin method. We also construct an a posteriori error estimator of explicit residual type.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74S05 Finite element methods applied to problems in solid mechanics
74B20 Nonlinear elasticity
74B05 Classical linear elasticity
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