Error Estimates for the Approximation of a Class of Variational Inequalities

@inproceedings{Falk2010ErrorEF,
  title={Error Estimates for the Approximation of a Class of Variational Inequalities},
  author={Richard S. Falk},
  year={2010}
}
In this paper, we prove a general approximation theorem useful in obtaining order of convergence estimates for the approximation of the solutions of a class of variational inequalities. The theorem is then applied to obtain an "optimal" rate of convergence for the approximation of a second-order elliptic problem with convex set K = {v <EHQ(il): v > X a.e. in il}. 

From This Paper

Topics from this paper.
45 Citations
10 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 45 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 10 references

FALK, Approximate Solutions of Some Variational Inequalities with Order of Convergence Estimates

  • R S.
  • Ph. D. Thesis,
  • 1971

On the regularity of the solution of a variational inequality

  • G. STAMPACCHIA
  • Approximate Solutions of Some Variational…
  • 1971

SIBONY, "Equivalence de deux inéquations variationnelles et applications," Arch

  • M. H. BREZIS
  • Rational Mech. Anal, v
  • 1971
1 Excerpt

Lineare Spline-Funktionen und die Methoden von Ritz für elliptische Randwertprobleme," Arch

  • J. NITSCHE
  • Rational Mech. Anal, v
  • 1970
2 Excerpts

Convergence of convex sets and of solutions of variational inequalities,

  • U. MOSCO
  • Advances in Math., v
  • 1969

STAMPACCHIA, "On the regularity of the solution of a variational inequality,

  • G. H. LEWY
  • Comm. Pure Appl. Math., v
  • 1969
1 Excerpt

STAMPACCHIA, "Sur la régularité de la solution d'inéquations elliptiques,

  • G. H. BRÉZIS
  • Bull Soc. Math. France, v
  • 1968
1 Excerpt

Approximation of the solutions of some variational inequalities," Ann

  • U. MOSCO
  • Scuola Norm. Sup. Pisa,
  • 1967

STAMPACCHIA, "Variational inequalities,

  • G.J.L. LIONS
  • Comm. Pure Appl. Math., v
  • 1967
1 Excerpt

AUBIN, "Approximation of variational inequalities," Functional Analysis and Optimization (edited

  • J P.
  • MR
  • 1966

Similar Papers

Loading similar papers…