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 (2008)

  • 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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Ben Belgacem, Faker, et al. "A finite element discretization of the contact between two membranes." ESAIM: Mathematical Modelling and Numerical Analysis 43.1 (2008): 33-52. <http://eudml.org/doc/194445>.

@article{BenBelgacem2008,
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 = {Ben Belgacem, Faker, Bernardi, Christine, Blouza, Adel, Vohralík, Martin},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Unilateral contact; variational inequalities; finite elements; a priori and a posteriori analysis.; well-posedness; error estimates},
language = {eng},
month = {10},
number = {1},
pages = {33-52},
publisher = {EDP Sciences},
title = {A finite element discretization of the contact between two membranes},
url = {http://eudml.org/doc/194445},
volume = {43},
year = {2008},
}

TY - JOUR
AU - Ben Belgacem, Faker
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
DA - 2008/10//
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/194445
ER -

References

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