Solving inverse problems for mixed-variational equations on perforated domains.

Authors :: Berenguer, M. I.
Gámez, D.
Garralda-Guillem, A. I.
Kunze, H.
La Torre, D.
Ruiz Galán, M.
Source :: Computational & Applied Mathematics; Sep2023, Vol. 42 Issue 6, p1-12, 12p
Publication Year :: 2023
Abstract: 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 collage-based 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. [ABSTRACT FROM AUTHOR]