Adaptive hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation
نویسندگان
چکیده
We present an a priori analysis of the hp-version of the finite element method for the primal formulation of frictional contact in linear elasticity. We introduce a new limiting case estimate for the interpolation error at Gauss and Gauss-Lobatto quadrature points. An hp-adaptive strategy is presented; numerical results shows that this strategy can lead to exponential convergence.
منابع مشابه
Adaptive hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal-dual Formulation and a Posteriori Error Estimation
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, which 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...
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