Solving inverse problems for mixed-variational equations on perforated domains
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Berenguer Maldonado, María Isabel; Gámez Domingo, Domingo; Garralda Guillén, Ana Isabel; Ruiz Galán, ManuelEditorial
Springer Nature
Materia
Perturbed mixed variational equations Perforated domains Parameter estimation Inverse Problems
Date
2023-08-31Referencia bibliográfica
Berenguer, M.I., Gámez, D., Garralda-Guillem, A.I. et al. Solving inverse problems for mixed-variational equations on perforated domains. Comp. Appl. Math. 42, 297 (2023). [https://doi.org/10.1007/s40314-023-02434-3]
Sponsorship
Junta de Andalucía, Project FQM359, and by the “María de Maeztu” Excellence Unit IMAG, reference CEX2020-001105-M; MCIN/AEI/10.13039/501100011033/.; Universidad de Granada/CBUAAbstract
The aim of this work is to analyze some conditions for the existence of solution of a perturbed
mixed variational system and that of an associated inverse problem related to the collagebased
approach, both on perforated domains or domains with holes. In addition, we study
the influence of the size of the holes and state some convergence results. Finally, we conduct
a computational study for solving some of those inverse problems