Verfürth, Rüdiger Error estimates for some quasi-interpolation operators. (English) Zbl 0938.65125 M2AN, Math. Model. Numer. Anal. 33, No. 4, 695-713 (1999). Explicit bounds on the constants for two quasi-interpolation operators which are modifications of the classical Clément-operator is derived. The estimates proposed are crucial for the construction of explicit constants which appear in the commonly used a posteriori error estimates. The obtained results are also compared with corresponding estimates for the standard nodal interpolation operator. Reviewer: J.Vaníček (Praha) Cited in 38 Documents MSC: 65N15 Error bounds for boundary value problems involving PDEs 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:error bounds; quasi-interpolation operators; Clément-operator; a posteriori error estimates; nodal interpolation operator PDF BibTeX XML Cite \textit{R. Verfürth}, M2AN, Math. Model. Numer. Anal. 33, No. 4, 695--713 (1999; Zbl 0938.65125) Full Text: DOI Link EuDML