hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation

摘要

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 show that this strategy can lead to exponential convergence.