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Penalty Method for Variational Inequalities

✍ Scribed by Rizwan Butt

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
171 KB
Volume
18
Category
Article
ISSN
0196-8858

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✦ Synopsis

In this paper we deal with the existence theory for a problem and give the proof of the existence by a penalty argument. We shall treat the problem for a variational inequality by introducing the penalized differential equation and then taking the limits of the equation resulting from the penalized approximation. We also discuss the error estimate for the difference of the two solutions in an appropriate norm.

πŸ“œ SIMILAR VOLUMES

Variational Inequalities for Arbitrary M
Variational Inequalities for Arbitrary Multivariate Distributions
✍ N. Papadatos; V. Papathanasiou πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 276 KB

Upper bounds for the total variation distance between two arbitrary multivariate distributions are obtained in terms of the corresponding w-functions. The results extend some previous inequalities satisfied by the normal distribution. Some examples are also given.