Residual a posteriori error estimators for contact problems in elasticity

Patrick Hild; Serge Nicaise

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

  • Volume: 41, Issue: 5, page 897-923
  • ISSN: 0764-583X

Abstract

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This paper is concerned with the unilateral contact problem in linear elasticity. We define two a posteriori error estimators of residual type to evaluate the accuracy of the mixed finite element approximation of the contact problem. Upper and lower bounds of the discretization error are proved for both estimators and several computations are performed to illustrate the theoretical results.

How to cite

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Hild, Patrick, and Nicaise, Serge. "Residual a posteriori error estimators for contact problems in elasticity ." ESAIM: Mathematical Modelling and Numerical Analysis 41.5 (2007): 897-923. <http://eudml.org/doc/250056>.

@article{Hild2007,
abstract = { This paper is concerned with the unilateral contact problem in linear elasticity. We define two a posteriori error estimators of residual type to evaluate the accuracy of the mixed finite element approximation of the contact problem. Upper and lower bounds of the discretization error are proved for both estimators and several computations are performed to illustrate the theoretical results. },
author = {Hild, Patrick, Nicaise, Serge},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Mixed finite element method; a posteriori error estimates; residuals; unilateral contact.; mixed finite element approximation},
language = {eng},
month = {10},
number = {5},
pages = {897-923},
publisher = {EDP Sciences},
title = {Residual a posteriori error estimators for contact problems in elasticity },
url = {http://eudml.org/doc/250056},
volume = {41},
year = {2007},
}

TY - JOUR
AU - Hild, Patrick
AU - Nicaise, Serge
TI - Residual a posteriori error estimators for contact problems in elasticity
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2007/10//
PB - EDP Sciences
VL - 41
IS - 5
SP - 897
EP - 923
AB - This paper is concerned with the unilateral contact problem in linear elasticity. We define two a posteriori error estimators of residual type to evaluate the accuracy of the mixed finite element approximation of the contact problem. Upper and lower bounds of the discretization error are proved for both estimators and several computations are performed to illustrate the theoretical results.
LA - eng
KW - Mixed finite element method; a posteriori error estimates; residuals; unilateral contact.; mixed finite element approximation
UR - http://eudml.org/doc/250056
ER -

References

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