Volume 8, Issue 2
Mixed FEM of Higher Order for Contact Problems with Fiction

A. Schroder, H. Blum, A. Rademacher & H. Kleemann

DOI:

Int. J. Numer. Anal. Mod., 8 (2011), pp. 302-323

Published online: 2011-08

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  • Abstract

This paper presents a mixed variational formulation and its discretization by finite elements of higher-order for the Signorini problem with Tresca friction. To guarantee the unique existence of the solution to the discrete mixed problem, a discrete inf-sup condition is proved. Moreover, a solution scheme based on the dual formulation of the problem is proposed. Numerical results confirm the theoretical findings.

  • Keywords

hp-FEM mixed method contact problems Signorini problem friction

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