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.
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]
An efficient and reliable residual-type a posteriori error estimator for the Signorini problem
A. VeeserSecondo
;
2015
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.File | Dimensione | Formato | |
---|---|---|---|
MainNumerMath.pdf
Open Access dal 13/07/2016
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
4.22 MB
Formato
Adobe PDF
|
4.22 MB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.