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A residual based error-estimator for mortar finite element discretizations. (English) Zbl 0962.65090
For a two-dimensional model problem, the weak form for a partial differential equation is formulated on a partitioned domain and coupled via Lagrange multipliers – the continuous mortar. The discrete finite-element spaces are introduced, both in the domain and the mortar space, and a local a posteriori residual-based error estimator is developed. This is extended to the Crouzeix-Raviart element of lowest order, which is interpreted as a mortar element method. The paper closes with numerical examples of adaptively refined meshes.

MSC:
65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
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