$$L^{\infty }$$ L ∞ -error estimate of a parabolic quasi-variational inequalities systems related to management of energy production problems via the subsolution concept

Autor: Salah Boulaaras, Mohamed El Amine Bencheikh Le Hocine, Mohamed Haiour
Rok vydání: 2017
Předmět:
Zdroj: Boletín de la Sociedad Matemática Mexicana. 24:439-461
ISSN: 2296-4495
1405-213X
DOI: 10.1007/s40590-017-0177-3
Popis: The main propose of this paper is to provide an error estimate on uniform norm of the parabolic quasi-variational inequalities system related to management of energy production problems, using semi-implicit time scheme with Galerkin spatial methods. Moreover, a new proof of the existence and uniqueness of the solution are given by the introduction of a constructive presented algorithm. Furthermore, an optimally $$L^{\infty }$$ -asymptotic behavior in maximum norm is given. The approach is based on the subsolution concept and discrete regularity.
Databáze: OpenAIRE
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