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A local regularization operator for triangular and quadrilateral finite elements. (English) Zbl 0913.65007
The authors develop a local regularization operator on triangular or quadrilateral finite elements built on structured or unstructured meshes. This operator is a variant of the regularization operator of P. Clément [RAIRO Anal. Numér. 9, 77-84 (1975; Zbl 0368.65008)]; however, this one is constructed via local projection in a reference domain. The authors prove that it has the same optimal approximation properties as the standard interpolation operator, and presents some applications.

MSC:
65D05 Numerical interpolation
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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