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Arcangeli, R.; Gout, J. L.

Sur l’evaluation de l’erreur d’interpolation de Lagrange dans un ouvert de \(R^n\). (French) Zbl 0337.65008

Rev. Franc. Automat. Inform. Rech. Operat. 10, Analyse numer., R-1, 5-27 (1976).
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Cited in 18 Documents

MSC:

65D05 Numerical interpolation
41A05 Interpolation in approximation theory
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
41A63 Multidimensional problems
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\textit{R. Arcangeli} and \textit{J. L. Gout}, Rev. Franc. Automat. Inform. Rech. Operat., R 10, No. 1, 5--27 (1976; Zbl 0337.65008)
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References:

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[2] BRAMBLE J. H. et HILBERT S. R., Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation, SIAM J. Numer. Anal, 7, 112-124 (1970). Zbl0201.07803 MR263214 · Zbl 0201.07803
[3] [3] BRAMBLE J. H. et HILBERT S. R., Bounds for a Class of Linear Functionals with Applications to Hermite Interpolation, Numer. Math., 16,362-369 (1971). Zbl0214.41405 MR290524 · Zbl 0214.41405
[4] CIARLET P. G. et RAVIART P. A., General Lagrange and Hermite Interpolation in R with Applications to Finite Element Methods, Arch. Rat. Mech. Anal., 46, 177-199 (1972). Zbl0243.41004 MR336957 · Zbl 0243.41004
[5] CIARLET P. G. et RAVIART P. A., Interpolation Theory over Curved Elements with Applications to Finite Element Methods, Comp. Meth. Appl. Mech. Engin., 1, 217-249 (1972). Zbl0261.65079 MR375801 · Zbl 0261.65079
[6] [6] CIARLET P. G. et WAGSCHAL C, Multipoint Taylor Formulas and Applications to Finite Element Method, Numer Math, 17, 84-100 (1971) Zbl0199.50104 MR287666 · Zbl 0199.50104
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[9] DESCLOUX J, Méthode des éléments finis, Ecole polytéchnique fédérale de Lausanne (1973)
[10] MEINGUET J, Realistic Estimates for Generic Constants in Multivariate Pointwise Approximation, Topics in Numerical Analysis II, J J H Miller ed , Acad Press (1975) Zbl0346.65010 MR422972 · Zbl 0346.65010
[11] NE_AS J, Les méthodes directes en théorie des équations élliptiques, Masson (1967) Zbl1225.35003 · Zbl 1225.35003
[12] RAVIART P A, Méthodes des éléments finis, rédige par J M Thomas, D E AAnalyse Numérique, Pans VI (1971-1972)
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[14] STROUD A H, Approximate Calculation of Multiple Intégrals, Prentice Hall (1971) Zbl0379.65013 MR327006 · Zbl 0379.65013
[15] ZIENKIEWICZ O C, La méthode des éléments finis, Ediscience, Paris (1973)
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