Adaptive finite elements with thin obstacles

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This work describes concepts for a posteriori error estimation and adaptive mesh design for dual-mixed finite element models where the solution is subjected to inequality constraints. These methods are developed here especially for variational problems with a so-called thin obstacle, i.e. the restrictions are imposed on the boundary of the domain under consideration. The studies presented in this work are partly motivated by our memberships in research groups , where one focus is on the numerical FE-analysis of 3D-contact problems. Eventually, numerical tests confirm our theoretical results.