Numerical solution for an inverse variational problem Garralda Guillén, Ana Isabel Montiel López, Pablo Inverse problems Variational inequalities Minimax inequalities Research partially supported by Junta de Andalucía Grant FQM359. Funding for open access charge: Universidad de Granada /CBUA. Funding Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. 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. 2021-10-05T12:13:00Z 2021-10-05T12:13:00Z 2021-08-17 info:eu-repo/semantics/article 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] http://hdl.handle.net/10481/70657 10.1007/s11081-021-09671-7 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Springer