Mixed FEM of Higher Order for Contact Problems with Friction

Mixed FEM of Higher Order for Contact Problems with Friction

Year:    2011

Author:    A. Schröder, H. Blum, A. Rademacher, H. Kleemann

International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 2 : pp. 302–323

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2011-IJNAM-687

International Journal of Numerical Analysis and Modeling, Vol. 8 (2011), Iss. 2 : pp. 302–323

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    hp-FEM mixed method contact problems Signorini problem friction.

Author Details

A. Schröder

H. Blum

A. Rademacher

H. Kleemann