A minimax approach for the study of systems of variational equations and related Galerkin schemes
Metadatos
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Elsevier B.V.
Materia
Minimax problems Variational inequalities
Date
2019-07Referencia bibliográfica
Garralda-Guillem, A.I., Ruiz Galán, M. A minimax approach for the study of systems of variational equations and related Galerkin schemes, (2019) Journal of Computational and Applied Mathematics, 354, pp. 103-111.
Patrocinador
Project MTM2016-80676-P (AEI/FEDER, UE) and by Junta de Andalucía Grant FQM359.Résumé
The aim of this work is to analyze the existence of a solution for a quite general variational inequalities system, which includes those appearing in the theory of mixed variational equations, the so-called Babuška–Brezzi theory. It is done by means of a minimax inequality, which also provides us with a estimate of the norm of the solution. Then, we derive a numerical method of the Galerkin type to approximate the solution of such a system. Its stability follows from the mentioned control of the norm of the solution.