Approximation by finite element functions using local regularization
- Volume: 9, Issue: R2, page 77-84
- ISSN: 0764-583X
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topClément, Ph.. "Approximation by finite element functions using local regularization." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 9.R2 (1975): 77-84. <http://eudml.org/doc/193271>.
@article{Clément1975,
author = {Clément, Ph.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {eng},
number = {R2},
pages = {77-84},
publisher = {Dunod},
title = {Approximation by finite element functions using local regularization},
url = {http://eudml.org/doc/193271},
volume = {9},
year = {1975},
}
TY - JOUR
AU - Clément, Ph.
TI - Approximation by finite element functions using local regularization
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1975
PB - Dunod
VL - 9
IS - R2
SP - 77
EP - 84
LA - eng
UR - http://eudml.org/doc/193271
ER -
References
top- [1] Ph. CLEMENT, Un problème d'approximation par éléments finis, Annexe à la thèse de Doctorat, Ecole Polytechnique Fédérale de Lausane, 1973.
- [2] J. J GOEL, Construction of Basic Functions for Numerical Utilisation of Ritz-s Method, Numer. Math., (1968), 12, 435-447. Zbl0271.65061MR256580
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- [5] G. STRANG, Approximation in the finite element method, Numer Math., (1972), 19, 81-98. Zbl0221.65174MR305547
- [6] G DUPUIS et J. J. GOEL, Eléments finis raffinés en élasticité bidimensionnelle, ZAMP, vol. 20, (1969), 858-881. Zbl0201.26604
- [7] J. DESCLOUX, Méthodes des éléments finis, Dept. de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, 1973.
- [8] J. DESCLOUX, Two Basic Properties of Finite Eléments, Dept. of Math., Ecole Polytechnique Fédérale de Lausanne, 1973.
- [9] P. G. CIARLET and P. A. RAVIART, General Lagrange and Hermite interpolation in with applications to finite elements methods, Arch. Rational Mech. Anal., 46 (1972), 177-199. Zbl0243.41004MR336957
- [10] G. FICHERA, Linear elliptic differential systems and eigenvalue problems, Lecture Notes in Mathematics 8, Springer, 1965. Zbl0138.36104MR209639
- [11] S. HILBERT, A mollifier useful for approximations in Sobolev spaces and some applications to approximating solutions of differential equations, Math. of Comp., 27 (1973), 81-89.tisf Zbl0257.65087MR331715
Citations in EuDML Documents
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- Stefano Berrone, Robust a posteriori error estimates for finite element discretizations of the heat equation with discontinuous coefficients
- Daniel Kessler, Ricardo H. Nochetto, Alfred Schmidt, A posteriori error control for the Allen–Cahn problem : circumventing Gronwall’s inequality
- Rüdiger Verfürth, Error estimates for some quasi-interpolation operators
- R. Verfürth, A posteriori error estimates for nonlinear problems. -estimates for finite element discretizations of elliptic equations
- Sergey Repin, Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation
- Stefano Berrone, Robust error estimates for finite element discretizations of the heat equation with discontinuous coefficients
- Daniel Kessler, Ricardo H. Nochetto, Alfred Schmidt, error control for the Allen–Cahn problem: circumventing Gronwall's inequality
- Alexandre Ern, Sébastien Meunier, error analysis of Euler-Galerkin approximations to coupled elliptic-parabolic problems
- Sergey I. Repin, Tatiana S. Samrowski, Stéfan A. Sauter, Combined modeling-discretization error estimate for elliptic problems with complicated interfaces
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