Adaptive finite elements for a certain class of variational inequalities of second kind
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- Hage, D., Klein, N. & Suttmeier, F.T. Calcolo (2011) 48: 293. doi:10.1007/s10092-011-0040-2
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In this note, we extend our studies on finite element Galerkin schemes for elliptic variational inequalities of first to the one of second kind. Especially we perform the corresponding a posteriori error analysis for a simple friction problem and a model flow of a Bingham fluid.
Collecting the experiences from these examples, we propose a framework for deriving a posteriori error estimates for a certain class of problems given in an abstract setting describing elliptic variational problems of second kind.
Numerical examples and tests confirm our theoretical results.