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

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

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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COPYRIGHT: © Global Science Press

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@Article{IJNAM-8-302, author = {Schröder , A.Blum , H.Rademacher , A. and Kleemann , H.}, title = {Mixed FEM of Higher Order for Contact Problems with Friction}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2011}, volume = {8}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/687.html} }
TY - JOUR T1 - Mixed FEM of Higher Order for Contact Problems with Friction AU - Schröder , A. AU - Blum , H. AU - Rademacher , A. AU - Kleemann , H. JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 302 EP - 323 PY - 2011 DA - 2011/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/687.html KW - hp-FEM, mixed method, contact problems, Signorini problem, friction. AB -

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.

Schröder , A.Blum , H.Rademacher , A. and Kleemann , H.. (2011). Mixed FEM of Higher Order for Contact Problems with Friction. International Journal of Numerical Analysis and Modeling. 8 (2). 302-323. doi:
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