An efficient and reliable residual-type a posteriori error estimator for the Signorini problem
Articolo
Data di Pubblicazione:
2015
Citazione:
An efficient and reliable residual-type a posteriori error estimator for the Signorini problem / R. Krause, A. Veeser, M. Walloth. - In: NUMERISCHE MATHEMATIK. - ISSN 0029-599X. - 130:1(2015), pp. 151-197. [10.1007/s00211-014-0655-8]
Abstract:
We derive a new a posteriori error estimator for the Signorini problem. It generalizes the standard residual-type estimators for unconstrained problems in linear elasticity by additional terms at the contact boundary addressing the non-linearity. Remarkably these additional contact-related terms vanish in the case of so-called full-contact. We prove reliability and efficiency for two- and three-dimensional simplicial meshes. Moreover, we address the case of non-discrete gap functions. Numerical tests for different obstacles and starting grids illustrate the good performance of the a posteriori error estimator in the two- and three-dimensional case, for simplicial as well as for unstructured mixed meshes.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
35J86; 65N15; 65N30; 74G15; 74S05; Applied Mathematics; Computational Mathematics
Elenco autori:
R. Krause, A. Veeser, M. Walloth
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