Error estimates for the approximation of a class of variational inequalities

Richard S. Falk

doi:10.1090/S0025-5718-1974-0391502-8

Error estimates for the approximation of a class of variational inequalities

Richard S. Falk

School of Arts and Sciences, Mathematics

Research output: Contribution to journal › Article › peer-review

242 Scopus citations

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 K = (v <EHQ(il): v > X a.e. in il).

Original language	English (US)
Pages (from-to)	963-971
Number of pages	9
Journal	Mathematics of Computation
Volume	28
Issue number	128
DOIs	https://doi.org/10.1090/S0025-5718-1974-0391502-8
State	Published - Oct 1974

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1974-0391502-8

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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 K = (v <EHQ(il): v > X a.e. in il).",

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AB - 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).

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JO - Mathematics of Computation

JF - Mathematics of Computation

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ER -

Error estimates for the approximation of a class of variational inequalities

Abstract

All Science Journal Classification (ASJC) codes

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