Adaptive FE-BE Coupling for Strongly Nonlinear Transmission Problems with Coulomb Friction

Details Adaptive FE-BE Coupling for Strongly Nonlinear Transmission Problems with Coulomb Friction Adaptive FE-BE Coupling for Strongly Nonlinear Transmission Problems with Coulomb Friction

2009-11-07

arxiv.org/abs/0911.1433v2

Mathematics

Numerical Analysis

27 pages, 3 figures

Scientific paper

10.1007/s00211-010-0337-0

We analyze an adaptive finite element/boundary element procedure for scalar elastoplastic interface problems involving friction, where a nonlinear uniformly monotone operator such as the p-Laplacian is coupled to the linear Laplace equation on the exterior domain. The problem is reduced to a boundary/domain variational inequality, a discretized saddle point formulation of which is then solved using the Uzawa algorithm and adaptive mesh refinements based on a gradient recovery scheme. The Galerkin approximations are shown to converge to the unique solution of the variational problem in a suitable product of L^p- and L^2-Sobolev spaces.

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