Autor: |
Madiha Sana, Muhammad Mustahsan |
Jazyk: |
angličtina |
Rok vydání: |
2019 |
Předmět: |
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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: |
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