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.
Reviewer: H.Matthies (Braunschweig)
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 |