2011-08-11Buch DOI: 10.18452/2789
Space adaptive Finite Element Methods for Dynamic Signorini Problems
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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Is Part Of Series: Preprints aus dem Institut für Mathematik - 9, Mathematik-Preprints, ISSN:0863-0976