Error estimates for the approximation of a class of variational inequalities

Author:
Richard S. Falk

Journal:
Math. Comp. **28** (1974), 963-971

MSC:
Primary 65K05; Secondary 35J30

DOI:
https://doi.org/10.1090/S0025-5718-1974-0391502-8

MathSciNet review:
0391502

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Abstract: 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 a.e. in }.

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DOI:
https://doi.org/10.1090/S0025-5718-1974-0391502-8

Article copyright:
© Copyright 1974
American Mathematical Society