Element-oriented and edge-oriented local error estimators for nonconforming finite element methods. (English) Zbl 0843.65075

This paper presents:
– the nonconforming finite element approximation of linear second-order elliptic boundary value problems;
– the construction of element-oriented error estimators;
– an edge-oriented error estimator which can be derived by combining the techniques used in the conforming case with a suitable tool measuring the discontinuity of nonconforming finite element functions across the interior edges of the triangulation;
– some numerical results illustrating the refinement process as well as the performance of both the element-oriented and the edge-oriented a posteriori error estimator.


65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations


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