Approximation of an elliptic boundary value problem with unilateral constraints

Richard S. Falk

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1975)

  • Volume: 9, Issue: R2, page 5-12
  • ISSN: 0764-583X

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Falk, Richard S.. "Approximation of an elliptic boundary value problem with unilateral constraints." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 9.R2 (1975): 5-12. <http://eudml.org/doc/193270>.

@article{Falk1975,
author = {Falk, Richard S.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {eng},
number = {R2},
pages = {5-12},
publisher = {Dunod},
title = {Approximation of an elliptic boundary value problem with unilateral constraints},
url = {http://eudml.org/doc/193270},
volume = {9},
year = {1975},
}

TY - JOUR
AU - Falk, Richard S.
TI - Approximation of an elliptic boundary value problem with unilateral constraints
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1975
PB - Dunod
VL - 9
IS - R2
SP - 5
EP - 12
LA - eng
UR - http://eudml.org/doc/193270
ER -

References

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  1. [1] BREZIS H. and STAMPACCHIA G., Sur La Régularité de La Solution d'Inéquations Elliptiques, Bulletin Soc. Math. France, vol. 96, 1968, pp. 153-180. Zbl0165.45601MR239302
  2. [2] FALK R. S., Error Estimates for the Approximation of a Class of Variational Inequalities, Math. of Computation, vol. 28, 1974, pp. 963-971. Zbl0297.65061MR391502
  3. [3] LEWY H. and STAMPACCHIA G., On the Regularity of the Solution of a Variational Inequality, Communications on Pure and Applied Mathematics, vol. 22, 1969, pp. 153-188. Zbl0167.11501MR247551
  4. [4] LIONS J. L. and STAMPACCHIA G., Variational Inequalities, Communications on Pure and Applied Mathematics, vol. 20, 1967, pp. 493-519. Zbl0152.34601MR216344
  5. [5] MOSCO U. and STRANG G., One-Sided Approximation and Variational Inequalities Bulletin Amer. math. Soc, vol.80, 1974, pp. 308-312. Zbl0278.35026MR331818
  6. [6] NITSCHE J., Lineare Spline-Funktionen und die Methoden vonRitz fur elliptische Randwertproblem, Archive for Rational Mechanics and Analysis, vol. 36, 1970, pp. 348-355. Zbl0192.44503MR255043
  7. [7] NITSCHE J., Uber ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilraümen, die keinen Randbedingungen unterworfen sind, Abh. Math. Sem. Univ. Hamburg 36 (1970/71), pp.9-15. Zbl0229.65079MR341903

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