L^{∞}-Asymptotic Behavior of a Finite Element Method for a System of Parabolic Quasi-Variational Inequalities with Nonlinear Source Terms
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Authors: D. C. BENCHETTAH
DOI: 10.46793/KgJMat2303.347B
Abstract:
This paper is an extension and a generalization of the previous results, cf. [?, ?, ?, ?]. It is devoted to studying the finite element approximation of the non coercive system of parabolic quasi-variational inequalities related to the management of energy production problem. Specifically, we prove optimal L∞-asymptotic behavior of the system of evolutionary quasi-variational inequalities with nonlinear source terms using the finite element spatial approximation and the subsolutions method.
Keywords:
Quasi-variational inequalities, asymptotic behavior, subsolutions method, finite elements approximation, L∞-error estimate.
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