# A posteriori error estimates for the $3$D stabilized Mortar finite element method applied to the Laplace equation

- Volume: 37, Issue: 6, page 991-1011
- ISSN: 0764-583X

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topBelhachmi, Zakaria. "A posteriori error estimates for the $3$D stabilized Mortar finite element method applied to the Laplace equation." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 37.6 (2003): 991-1011. <http://eudml.org/doc/244949>.

@article{Belhachmi2003,

abstract = {We consider a non-conforming stabilized domain decomposition technique for the discretization of the three-dimensional Laplace equation. The aim is to extend the numerical analysis of residual error indicators to this model problem. Two formulations of the problem are considered and the error estimators are studied for both. In the first one, the error estimator provides upper and lower bounds for the energy norm of the mortar finite element solution whereas in the second case, it also estimates the error for the Lagrange multiplier.},

author = {Belhachmi, Zakaria},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {Mortar finite element method; a posteriori estimates; mixed variational formulation; stabilization technique; non-matching grids; error estimate; mortar finite element method; Laplace equation; decomposition techniques; stability},

language = {eng},

number = {6},

pages = {991-1011},

publisher = {EDP-Sciences},

title = {A posteriori error estimates for the $3$D stabilized Mortar finite element method applied to the Laplace equation},

url = {http://eudml.org/doc/244949},

volume = {37},

year = {2003},

}

TY - JOUR

AU - Belhachmi, Zakaria

TI - A posteriori error estimates for the $3$D stabilized Mortar finite element method applied to the Laplace equation

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2003

PB - EDP-Sciences

VL - 37

IS - 6

SP - 991

EP - 1011

AB - We consider a non-conforming stabilized domain decomposition technique for the discretization of the three-dimensional Laplace equation. The aim is to extend the numerical analysis of residual error indicators to this model problem. Two formulations of the problem are considered and the error estimators are studied for both. In the first one, the error estimator provides upper and lower bounds for the energy norm of the mortar finite element solution whereas in the second case, it also estimates the error for the Lagrange multiplier.

LA - eng

KW - Mortar finite element method; a posteriori estimates; mixed variational formulation; stabilization technique; non-matching grids; error estimate; mortar finite element method; Laplace equation; decomposition techniques; stability

UR - http://eudml.org/doc/244949

ER -

## References

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