On Lattices Admitting Unique Lagrange Interpolations
1977; Society for Industrial and Applied Mathematics; Volume: 14; Issue: 4 Linguagem: Inglês
10.1137/0714050
ISSN1095-7170
Autores Tópico(s)Composite Structure Analysis and Optimization
ResumoPrevious article Next article On Lattices Admitting Unique Lagrange InterpolationsK. C. Chung and T. H. YaoK. C. Chung and T. H. Yaohttps://doi.org/10.1137/0714050PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractIn this paper generalizations of the classical Lagrange interpolation formula to n-dimensional spaces are discussed. It simplifies and improves upon certain results of some recent authors.[1] P. G. Ciarlet and , P.-A. Raviart, General Lagrange and Hermite interpolation in ${\bf R}\sp{n}$ with applications to finite element methods, Arch. Rational Mech. Anal., 46 (1972), 177–199 10.1007/BF00252458 MR0336957 0243.41004 CrossrefISIGoogle Scholar[2] P. G. Ciarlet and , C. Wagschal, Multipoint Taylor formulas and applications to the finite element method, Numer. Math., 17 (1971), 84–100 10.1007/BF01395869 MR0287666 0199.50104 CrossrefISIGoogle Scholar[3] Christian Coatmélec, Approximation et interpolation des fonctions différentiables de plusieurs variables, Ann. Sci. École Norm. Sup. (3), 83 (1966), 271–341 MR0232143 0155.10902 CrossrefGoogle Scholar[4] R. A. Nicolaides, On a class of finite elements generated by Lagrange interpolation, SIAM J. Numer. Anal., 9 (1972), 435–445 10.1137/0709039 MR0317511 0282.65009 LinkISIGoogle Scholar[5] Miloš Zlámal, On the finite element method, Numer. Math., 12 (1968), 394–409 MR0243753 0176.16001 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Unisolvency for Polynomial Interpolation in Simplices with Symmetrical Nodal DistributionsJournal of Scientific Computing, Vol. 92, No. 2 | 2 July 2022 Cross Ref A new proof of the Gasca - Maeztu conjecture for n = 5Proceedings of NAS RA. 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