@article{M2AN_1978__12_2_173_0,
author = {Wahlbin, L. B.},
title = {Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {12},
year = {1978},
pages = {173-202},
mrnumber = {502070},
zbl = {0382.65057},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1978__12_2_173_0}
}
Wahlbin, L. B. Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 12 (1978) pp. 173-202. http://gdmltest.u-ga.fr/item/M2AN_1978__12_2_173_0/
1. , and , Estimates Near the Boundary for Solutions of Elliptic Partial Differential Equations Satisfying General Boundary Conditions. L, Comm. Pure Appl. Math., vol. 12, 1959, pp. 623-727. | MR 125307 | Zbl 0093.10401
2. and , A Theorem on Homeomorphims and the Green's Function for General Elliptic Boundary Problems (in Russian), Ukrain. Math. Z., vol. 19, 1967, pp. 3-32 (English translation, Ukrain. Math. J., vol. 19, 1967, pp. 509-530). | MR 218739 | Zbl 0206.11302
3. , and , Partial Differential Equations, Interscience, New York, 1964. | MR 163043 | Zbl 0126.00207
4. and , Bounds for a Class of Linear Functionals with Applications to Hermite Interpolation, Numer. Math., vol. 16, 1971, pp. 362-369. | MR 290524 | Zbl 0214.41405
5. , Numerical Analysis of the Finite Element Method, Séminaire de Mathématiques supérieures, Presse de l'Université de Montréal, 1976. | MR 495010 | Zbl 0363.65083
6. and , General Lagrange and Hermite Interpolation in Rn with Applications to Finite Element Methods, Arch. Rat. Mech. Anal., vol. 46, 1972, pp. 177-199. | MR 336957 | Zbl 0243.41004
7. and , Interpolation Theory Over Curved Elements, with Applications to Finite Element Methods, Comput. Methods Appl. Mech.Engrg., vol. 1, 1972, pp. 217-249. | MR 375801 | Zbl 0261.65079
8. and , The Combined Effect of Curved Boundaries and Numerical Integration in Isoparametric Finite Element Methods, The Mathematical Foundations of the Finite Element Method, A. K. Aziz, Ed., Academic Press, New York, 1973, pp. 409-474. | MR 421108 | Zbl 0262.65070
9. , Effects of Quadrature Errors in Finite Element Approximation of Steady State, Eigenvalue and Parabolic Problems, The Mathematical Foundation of the Finite Element Method, A.K. Aziz, Ed., Academic Press, New York, 1973, pp. 525-556. | MR 413546 | Zbl 0282.65081
10. , An investigation of the Green's function (in Russian), Uspehi Mat. Nauk., vol. 20, 1965, pp. 267-268.
11. , Les Méthodes directes en Théorie des Équations elliptiques, Masson, Paris, 1967. | MR 227584
12. , L∞-convergence for Finite Element Approximation, 2. Conference on Finite Eléments, Rennes, France, May 12-14, 1975.
13. and , Interior Estimates for Ritz-Galerkin Methods, Math. Comput., vol. 28, 1974, pp. 937-958. | MR 373325 | Zbl 0298.65071
14. , An Observation Concerning Ritz-Galerkin Methods with Indefinite Bilinear Forms, Math. Comput., vol. 28, 1974, pp. 959-962. | MR 373326 | Zbl 0321.65059
15. and , Interior Maximum Norm Estimates for Finite Element Methods, Math. Comput., vol 31, 1977, pp. 414-442. | MR 431753 | Zbl 0364.65083
16. and , Maximum Norm Estimates in the Finite Element Method on Plane Polygonal domains, Parti, Math. Comput. (to appear). | Zbl 0382.65058
17. , Optimal L∞ Estimates for the Finite Element Method on Irregular Meshes, Math. Comput., vol. 30, 1976, pp. 681-697. | MR 436617 | Zbl 0349.65060
18. , Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, N. J., 1970. | MR 290095 | Zbl 0207.13501