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

Madiha Sana and Muhammad Mustahsan
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Madiha Sana: Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan
Muhammad Mustahsan: Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan

Mathematics, 2019, vol. 7, issue 5, 1-12

Abstract: 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.

Keywords: finite element method; WEB-splines; optimal control problem; B-spline; weight function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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