An operator-theoretical approach to error estimation

Author:

Meinguet Jean,Descloux Jean

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Reference14 articles.

1. Babu?ka, I., Práger, M., Vitásek, E.: Numerical processes in differential equations. London: Interscience 1966

2. Bourbaki, N.: Théorie des ensembles, Chs. 1, 2, Fasc. XVII de Eléments de mathématique, 2.éd. Paris: Hermann 1960

3. Bramble, J. H., 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)

4. Ciarlet, P. G., Raviart, P. A.: General Lagrange and Hermite interpolation inR n with applications to finite element methods. Arch. Rational Mech. Anal.46, 177?199 (1972)

5. Dunford, N., Schwartz, J. T.: Linear operators. Part I: General theory. New York: Interscience 1958

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1. Basic error estimates for elliptic problems;Finite Element Methods (Part 1);1991

2. Computable Error Bounds in the Finite-Element Method;IMA Journal of Numerical Analysis;1986

3. A Practical Method for Obtaining a Priori Error Bounds in Pointwise and Mean-Square Approximation Problems;Approximation Theory and Spline Functions;1984

4. Sharp “A Priori” Error Bounds for Polynomial Approximation in Sobolev Spaces;Multivariate Approximation Theory II;1982

5. Bibliography;The Finite Element Method for Elliptic Problems;1978

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