Abstract
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.
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The first author gratefully acknowledges partial support by the FWF grant W8.
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Dörsek, P., Melenk, J.M. (2011). hp-FEM for the Contact Problem with Tresca Friction in Linear Elasticity: The Primal Formulation. In: Hesthaven, J., Rønquist, E. (eds) Spectral and High Order Methods for Partial Differential Equations. Lecture Notes in Computational Science and Engineering, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15337-2_1
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DOI: https://doi.org/10.1007/978-3-642-15337-2_1
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