fem signorini problem dynamic adaptive variational inequlities Space adaptive Finite Element Methods for Dynamic Signorini Problems. Heribert Blum Blum Heribert Andreas Rademacher Rademacher Andreas Andreas Schroeder Schroeder Andreas Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 08-9, 9

Space adaptive Finite Element Methods for Dynamic Signorini Problems.

Heribert Blum , Andreas Rademacher , Andreas Schroeder

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 08-9, 9

MSC 2000

65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

Abstract
Space adaptive techniques for dynamic Signorini problems are discussed. For discretisation, the Newmark method in time and low order finite elements in space are used. For the global discretisation error in space, an a posteriori error estimate is derived on the basis of the semi-discrete problem in mixed form. This approach relies on an auxiliary problem, which takes the form of a variational equation. An adaptive method based on the estimate is applied to improve the finite element approximation. Numerical results illustrate the performance of the presented method.

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