caa a22 4500 445862114 CHVBK 20180317145446.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10092-011-0040-2 doi (NATIONALLICENCE)springer-10.1007/s10092-011-0040-2 Adaptive finite elements for a certain class of variational inequalities of second kind [Elektronische Daten] [D. Hage, N. Klein, F. Suttmeier] 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. Springer-Verlag, 2011 Bingham fluid nationallicence Friction problem nationallicence A posteriori error estimate nationallicence Variational inequality nationallicence Finite element method nationallicence Adaptivity nationallicence Hage D. Department Mathematik, University Siegen, Walter-Flex-Strasse 3, 57068, Siegen, Germany aut Klein N. Department Mathematik, University Siegen, Walter-Flex-Strasse 3, 57068, Siegen, Germany aut Suttmeier F. Department Mathematik, University Siegen, Walter-Flex-Strasse 3, 57068, Siegen, Germany aut Calcolo Springer Milan 48/4(2011-12-01), 293-305 0008-0624 48:4<293 2011 48 10092 https://doi.org/10.1007/s10092-011-0040-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10092-011-0040-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hage D. Department Mathematik, University Siegen, Walter-Flex-Strasse 3, 57068, Siegen, Germany aut NATIONALLICENCE 700 1- Klein N. Department Mathematik, University Siegen, Walter-Flex-Strasse 3, 57068, Siegen, Germany aut NATIONALLICENCE 700 1- Suttmeier F. Department Mathematik, University Siegen, Walter-Flex-Strasse 3, 57068, Siegen, Germany aut NATIONALLICENCE 773 0- Calcolo Springer Milan 48/4(2011-12-01), 293-305 0008-0624 48:4<293 2011 48 10092 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer