Discrete approximations of minimization problems. I. Theory
作者:
R. D. Grigorieff,
R. M. Reemtsen,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1990)
卷期:
Volume 11,
issue 7-8
页码: 701-719
ISSN:0163-0563
年代: 1990
DOI:10.1080/01630569008816398
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
In this paper we study the convergence of the infima and of (approximate) solutions of a sequence of minimization problems. It is shown that the main assumptions needed in order to guarantee the requested convergence properties are those of the consistency and the a-regularity of the underlying functionals, conceptions which are well-known from the discretization theory of differential equations. This paper is continued by a second part in which the theoretical results are applied to a number of concrete problems.
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