# Mixed finite element approximation of 3D contact problems with given friction: Error analysis and numerical realization

Jaroslav Haslinger; Taoufik Sassi

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 38, Issue: 3, page 563-578
- ISSN: 0764-583X

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topHaslinger, Jaroslav, and Sassi, Taoufik. "Mixed finite element approximation of 3D contact problems with given friction: Error analysis and numerical realization ." ESAIM: Mathematical Modelling and Numerical Analysis 38.3 (2010): 563-578. <http://eudml.org/doc/194228>.

@article{Haslinger2010,

abstract = {
This contribution deals with a mixed variational formulation of 3D contact problems with the simplest model involving friction. This formulation is based on a dualization of the set of admissible displacements and the regularization of the non-differentiable term. Displacements are approximated by piecewise linear elements while the respective dual variables by piecewise constant functions on a dual partition of the contact zone. The rate of convergence is established provided that the solution is smooth enough. The numerical realization of such problems will be discussed and results of a model example will be shown.
},

author = {Haslinger, Jaroslav, Sassi, Taoufik},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Mixed finite element methods;
unilateral contact problems with friction; a priori error estimates.; dualization; rate of convergence},

language = {eng},

month = {3},

number = {3},

pages = {563-578},

publisher = {EDP Sciences},

title = {Mixed finite element approximation of 3D contact problems with given friction: Error analysis and numerical realization },

url = {http://eudml.org/doc/194228},

volume = {38},

year = {2010},

}

TY - JOUR

AU - Haslinger, Jaroslav

AU - Sassi, Taoufik

TI - Mixed finite element approximation of 3D contact problems with given friction: Error analysis and numerical realization

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 38

IS - 3

SP - 563

EP - 578

AB -
This contribution deals with a mixed variational formulation of 3D contact problems with the simplest model involving friction. This formulation is based on a dualization of the set of admissible displacements and the regularization of the non-differentiable term. Displacements are approximated by piecewise linear elements while the respective dual variables by piecewise constant functions on a dual partition of the contact zone. The rate of convergence is established provided that the solution is smooth enough. The numerical realization of such problems will be discussed and results of a model example will be shown.

LA - eng

KW - Mixed finite element methods;
unilateral contact problems with friction; a priori error estimates.; dualization; rate of convergence

UR - http://eudml.org/doc/194228

ER -

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