A posteriori Error Estimates For the 3D Stabilized Mortar Finite Element Method applied to the Laplace Equation
Laboratoire de Mathématiques LMAM,
UMR7122, Université de Metz,
Ile du Saulcy, 57045 Metz, France. email@example.com.
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.
Mathematics Subject Classification: 65N30
Key words: Mortar finite element method / a posteriori estimates / mixed variational formulation / stabilization technique / non-matching grids.
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