Bernardi, C.; Girault, V. A local regularization operator for triangular and quadrilateral finite elements. (English) Zbl 0913.65007 SIAM J. Numer. Anal. 35, No. 5, 1893-1916 (1998). 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. Reviewer: I.N.Katz (St.Louis) Cited in 1 ReviewCited in 92 Documents MSC: 65D05 Numerical interpolation 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:regularization operator; triangular finite elements; quadrilateral finite elements; interpolation operator Citations:Zbl 0368.65008 PDFBibTeX XMLCite \textit{C. Bernardi} and \textit{V. Girault}, SIAM J. Numer. Anal. 35, No. 5, 1893--1916 (1998; Zbl 0913.65007) Full Text: DOI