Some new residual-based a posteriori error estimators for the mortar finite element methods

In this paper, we propose some new residual-based a posteriori error estimators for the mortar finite element discretization of the second order elliptic equations with discontinuous coefficients. Reliability and efficiency of the estimators are given. Our analysis does not require any saturation assumptions and the mesh restrictions on the interface which are often needed in the literature. Numerical experiments are presented to confirm our theoretical analysis.

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