Numerical solution for an inverse variational problem

In the present work, firstly, we use a minimax equality to prove the existence of a solution to a certain system of varitional equations providing a numerical approximation of such a solution. Then, we propose a numerical method to solve a collage-type inverse problem associated with the correspondi...

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Bibliographic Details
Published inOptimization and engineering Vol. 22; no. 4; pp. 2537 - 2552
Main Authors Garralda-Guillem, A. I., Montiel López, P.
Format Journal Article
LanguageEnglish
Published New York Springer US 01.12.2021
Springer Nature B.V
Subjects
Control
Engineering
Environmental Management
Financial Engineering
Inverse problems
Mathematical analysis
Mathematics
Mathematics and Statistics
Minimax technique
Numerical methods
Operations Research/Decision Theory
Optimization
Research Article
Systems Theory
Minimax inequalities
Inverse problems
49A29
65N21
Variational inequalities
49K35
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Summary:In the present work, firstly, we use a minimax equality to prove the existence of a solution to a certain system of varitional equations providing a numerical approximation of such a solution. Then, we propose a numerical method to solve a collage-type inverse problem associated with the corresponding system, and illustrate the behaviour of the method with a numerical example.
ISSN:1389-4420
1573-2924
DOI:10.1007/s11081-021-09671-7