Numerical solution for an inverse variational problem
Metadata
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Springer
Materia
Inverse problems Variational inequalities Minimax inequalities
Date
2021-08-17Referencia bibliográfica
Garralda-Guillem, A.I., Montiel López, P. Numerical solution for an inverse variational problem. Optim Eng (2021). [https://doi.org/10.1007/s11081-021-09671-7]
Sponsorship
CRUE-CSIC agreement; Springer NatureAbstract
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.