Error indicators for the mortar finite element discretization of the Laplace equation. (English) Zbl 1012.65108

The paper deals with the numerical analysis of residual error indicators for mortar finite element discretizations for the Laplace equation. Optimal estimates, which allow a comparison with the error, are derived without any saturation assumption. Numerical tests, also involving a comparison to a conforming approach, are presented indicating the efficiency of the non-conforming method considered.


65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65Y20 Complexity and performance of numerical algorithms


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