# A posteriori Error Estimates For the 3D Stabilized Mortar Finite Element Method applied to the Laplace Equation

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

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

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topBelhachmi, Zakaria. "A posteriori Error Estimates For the 3D Stabilized Mortar Finite Element Method applied to the Laplace Equation." ESAIM: Mathematical Modelling and Numerical Analysis 37.6 (2010): 991-1011. <http://eudml.org/doc/194201>.

@article{Belhachmi2010,

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},

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; mixed variational formulation; non-matching grids; stability},

language = {eng},

month = {3},

number = {6},

pages = {991-1011},

publisher = {EDP Sciences},

title = {A posteriori Error Estimates For the 3D Stabilized Mortar Finite Element Method applied to the Laplace Equation},

url = {http://eudml.org/doc/194201},

volume = {37},

year = {2010},

}

TY - JOUR

AU - Belhachmi, Zakaria

TI - A posteriori Error Estimates For the 3D Stabilized Mortar Finite Element Method applied to the Laplace Equation

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

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; mixed variational formulation; non-matching grids; stability

UR - http://eudml.org/doc/194201

ER -

## References

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