Numerical solution for an inverse variational problem

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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Veröffentlicht in:Optimization and engineering 2021-12, Vol.22 (4), p.2537-2552
Hauptverfasser: Garralda-Guillem, A. I., Montiel López, P.
Format: Artikel
Sprache:eng
Schlagworte:
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
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Beschreibung
Zusammenfassung: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