Finite Element Approximation of Optimal Control Problem with Weighted Extended B-Splines

Autor:	Madiha Sana, Muhammad Mustahsan
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	finite element method WEB-splines optimal control problem B-spline weight function Mathematics QA1-939
Zdroj:	Mathematics, Vol 7, Iss 5, p 452 (2019)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math7050452
Popis:	In this research article, an optimal control problem (OCP) with boundary observations is approximated using finite element method (FEM) with weighted extended B-splines (WEB-splines) as basis functions. This type of OCP has a distinct aspect that the boundary observations are outward normal derivatives of state variables, which decrease the regularity of solution. A meshless FEM is proposed using WEB-splines, defined on the usual grid over the domain, R 2 . The weighted extended B-spline method (WEB method) absorbs the regularity problem as the degree of the B-splines is increased. Convergence analysis is also performed by some numerical examples.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2526fae2e79f449e9ef527510b137f73 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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