Adaptive variational discretization approximation method for parabolic optimal control problems

Autor: Yuelong Tang, Yuchun Hua
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-14 (2020)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-020-02506-6
Popis: Abstract In this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme. Secondly, we derive a posteriori error estimates of the approximation solutions. Finally, we present variational discretization approximation algorithm and adaptive variational discretization approximation algorithm for parabolic optimization problems and do some numerical experiments to confirm our theoretical results.
Databáze: Directory of Open Access Journals
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