Adaptive FE–BE Coupling for Strongly Nonlinear Transmission Problems with Friction II
نویسندگان
چکیده
This article discusses the well-posedness and error analysis of the coupling of finite and boundary elements for transmission or contact problems in nonlinear elasticity. It concerns “pseudoplastic”, p–Laplacian-type Hencky materials with an unbounded stress–strain relation, as they arise in the modelling of ice sheets, non-Newtonian fluids or porous media. For 1 < p < 2 the bilinear form of the boundary element method fails to be continuous in natural function spaces associated to the nonlinear operator. We propose a functional analytic framework for the numerical analysis and obtain a priori and a posteriori error estimates for Galerkin approximations to the resulting boundary/domain variational inequality. The a posteriori estimate complements recent estimates obtained for mixed finite element formulations of friction problems in linear elasticity.
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