Interior error estimates for semi-discrete Galerkin approximations for parabolic equations
Nitsche, J. A.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 15 (1981), p. 171-176 / Harvested from Numdam
Publié le : 1981-01-01
@article{M2AN_1981__15_2_171_0,
     author = {Nitsche, J. A.},
     title = {Interior error estimates for semi-discrete Galerkin approximations for parabolic equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {15},
     year = {1981},
     pages = {171-176},
     mrnumber = {618821},
     zbl = {0469.65073},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1981__15_2_171_0}
}
Nitsche, J. A. Interior error estimates for semi-discrete Galerkin approximations for parabolic equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 15 (1981) pp. 171-176. http://gdmltest.u-ga.fr/item/M2AN_1981__15_2_171_0/

1. J. H. Bramble, J. Nitsche and A. Schatz, Maximum-norm interior estimates for Ritz-Galerkin methods. Math Comp 29, 677-688 (1975). | MR 398120 | Zbl 0316.65023

2. J. H. Bramble, A. Schatz, V. Thomee and L. B. Wahlbin, Some convergence estimates for semidiscrete Galerkin type approximations for parabolic equations. SIAM J Numer Anal 14, 218-241 (1977). | MR 448926 | Zbl 0364.65084

3. J. Jr. Douglas, T. Dupont and L. B. Wahlbin, The stability in Lq of the L2-projection into finite element function spaces. Numer Math 23, 193-197 (1975). | MR 388799 | Zbl 0297.41022

4. H.-P. Helfrich, Fehlerabschatzungen fdr das Galerkinverfahren zur Losung von Evolutionsgleichungen. Manuscripta Math 13, 219-235 (1974). | MR 356513 | Zbl 0323.65037

5. J. Nitsche, Interior error estimates of projection methods. Proceedings Equadiff 3, Czechoslovak Conference on Differential Equations and their Applications, 235-239, Brno (1972). | MR 359361 | Zbl 0357.65090

6. J. Nitsche and A. Schatz, On local approximation properties of L 2 -projection on spline-subspaces. Appl Anal 2, 161-168 (1972). | MR 397268 | Zbl 0239.41007

7. J. Nitsche and A. Schatz, Interior estimates for Ritz-Galerkin methods. Math Comp 28, 937-958 (1974). | MR 373325 | Zbl 0298.65071

8. V. Thomee, Some convergence results for Galerkin methods for parabolic boundary value problems. Proceedings of a Symposium on Mathematical Aspects of Finite Elements m Partial Differential Equations, Madison, Wisc , Apr 1-3, 1974, C de Boor ed , Academic Press, 55-88 (1974). | MR 657811 | Zbl 0343.65046

9. V. Thomee, Some interior estimates for semidiscrete Galerkin approximations for parabolic equations. Math Comp 33, 37-62 (1979). | MR 514809 | Zbl 0419.65073