A finite element discretization of the contact between two membranes

Faker Ben Belgacem; Christine Bernardi; Adel Blouza; Martin Vohralík

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2009)

  • Volume: 43, Issue: 1, page 33-52
  • ISSN: 0764-583X

Abstract

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From the fundamental laws of elasticity, we write a model for the contact between two membranes and we perform the analysis of the corresponding system of variational inequalities. We propose a finite element discretization of this problem and prove its well-posedness. We also establish a priori and a posteriori error estimates.

How to cite

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Belgacem, Faker Ben, et al. "A finite element discretization of the contact between two membranes." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 43.1 (2009): 33-52. <http://eudml.org/doc/245210>.

@article{Belgacem2009,
abstract = {From the fundamental laws of elasticity, we write a model for the contact between two membranes and we perform the analysis of the corresponding system of variational inequalities. We propose a finite element discretization of this problem and prove its well-posedness. We also establish a priori and a posteriori error estimates.},
author = {Belgacem, Faker Ben, Bernardi, Christine, Blouza, Adel, Vohralík, Martin},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {unilateral contact; variational inequalities; finite elements; a priori and a posteriori analysis; well-posedness; error estimates},
language = {eng},
number = {1},
pages = {33-52},
publisher = {EDP-Sciences},
title = {A finite element discretization of the contact between two membranes},
url = {http://eudml.org/doc/245210},
volume = {43},
year = {2009},
}

TY - JOUR
AU - Belgacem, Faker Ben
AU - Bernardi, Christine
AU - Blouza, Adel
AU - Vohralík, Martin
TI - A finite element discretization of the contact between two membranes
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2009
PB - EDP-Sciences
VL - 43
IS - 1
SP - 33
EP - 52
AB - From the fundamental laws of elasticity, we write a model for the contact between two membranes and we perform the analysis of the corresponding system of variational inequalities. We propose a finite element discretization of this problem and prove its well-posedness. We also establish a priori and a posteriori error estimates.
LA - eng
KW - unilateral contact; variational inequalities; finite elements; a priori and a posteriori analysis; well-posedness; error estimates
UR - http://eudml.org/doc/245210
ER -

References

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