Titlebook: Numerical solution of Variational Inequalities by Adaptive Finite Elements; Franz-Theo Suttmeier Book 2008 Vieweg+Teubner Verlag | Springe

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Extensions to stabilised schemes,itional constraints, as for example the incompressibility condition in the Stokes problem, have to be considered as restrictions. These can be treated by the Lagrangian formalism yielding saddle point problems. One important application of such . and the corresponding finite element schemes is the f

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Obstacle problem,riational inequality can be attacked directly to derive . error estimates analogously to the example in the introduction. Our procedure is performed in three steps, following the approach in the context of variational equalities, i.e., . error analysis is first done for the energy norm, then extende

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General concept,e (1.5), where the error . is measured in terms of a linear functional .(·) defined on . or a suitable subspace. The main ingredients are a generalisation of the Galerkin orthogonality relation in the context of variational equations and a suitable duality argument.

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Lagrangian formalism,problem by a Lagrangian formalism. The approach offers several alternatives for the numerical analysis of variational inequalities. We mention the iterative solution process of the discrete problems and focus on new possibilities for . error analysis.

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Applications,chaft. In collaboration with scientists from mechanical engineering, we provide the numerical analysis for problems arising in the field of highspeed machining. In what follows, we demonstrate the application of our strategies to grinding and milling processes. Furthermore we show some results conce