Interior error estimates for semi-discrete Galerkin approximations for parabolic equations

J. A. Nitsche

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1981)

  • Volume: 15, Issue: 2, page 171-176
  • ISSN: 0764-583X

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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 15.2 (1981): 171-176. <http://eudml.org/doc/193374>.

@article{Nitsche1981,
author = {Nitsche, J. A.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {initial boundary value problem; Galerkin method; optimal order; finite elements},
language = {eng},
number = {2},
pages = {171-176},
publisher = {Dunod},
title = {Interior error estimates for semi-discrete Galerkin approximations for parabolic equations},
url = {http://eudml.org/doc/193374},
volume = {15},
year = {1981},
}

TY - JOUR
AU - Nitsche, J. A.
TI - Interior error estimates for semi-discrete Galerkin approximations for parabolic equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1981
PB - Dunod
VL - 15
IS - 2
SP - 171
EP - 176
LA - eng
KW - initial boundary value problem; Galerkin method; optimal order; finite elements
UR - http://eudml.org/doc/193374
ER -

References

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  1. 1. J. H. BRAMBLE, J. NITSCHE and A. SCHATZ, Maximum-norm interior estimates for Ritz-Galerkin methods. Math Comp 29, 677-688 (1975). Zbl0316.65023MR398120
  2. 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). Zbl0364.65084MR448926
  3. 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). Zbl0297.41022MR388799
  4. 4. H.-P. HELFRICH, Fehlerabschatzungen fdr das Galerkinverfahren zur Losung von Evolutionsgleichungen. Manuscripta Math 13, 219-235 (1974). Zbl0323.65037MR356513
  5. 5. J. NITSCHE, Interior error estimates of projection methods. Proceedings Equadiff 3, Czechoslovak Conference on Differential Equations and their Applications, 235-239, Brno (1972). Zbl0357.65090MR359361
  6. 6. J. NITSCHE and A. SCHATZ, On local approximation properties of L 2 -projection on spline-subspaces. Appl Anal 2, 161-168 (1972). Zbl0239.41007MR397268
  7. 7. J. NITSCHE and A. SCHATZ, Interior estimates for Ritz-Galerkin methods. Math Comp 28, 937-958 (1974). Zbl0298.65071MR373325
  8. 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). Zbl0343.65046MR657811
  9. 9. V. THOMEE, Some interior estimates for semidiscrete Galerkin approximations for parabolic equations. Math Comp 33, 37-62 (1979). Zbl0419.65073MR514809

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