Adaptive hp-FEM for the contact problem with Tresca friction in linear elasticity: The primal�dual formulation and a posteriori error estimation

• Autores: P Dörsek, J.M. Melenk
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 7, 2010, págs. 689-704
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.03.011
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• Resumen

  • We present an a priori analysis of the hp-version of the finite element method for the primal�dual formulation of frictional contact in linear elasticity. We employ a novel hp-mortar projection operator that is uniformly stable in the mesh width and grows slowly in the polynomial degree. We derive an hp-FEM residual error indicator, develop an hp-adaptive strategy that is based on testing for analyticity, and show in numerical examples that the adaptive algorithm can lead to exponential rates of convergence.