Finite Volume Element Approximation for the Elliptic Equation with Distributed Control
In this paper, we consider a priori error estimates for the finite volume element schemes of optimal control problems, which are governed by linear elliptic partial differential equation. The variational discretization approach is used to deal with the control. The error estimation shows that the co...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2018/4753792 |
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| _version_ | 1832566745081053184 |
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| author | Quanxiang Wang Tengjin Zhao Zhiyue Zhang |
| author_facet | Quanxiang Wang Tengjin Zhao Zhiyue Zhang |
| author_sort | Quanxiang Wang |
| collection | DOAJ |
| description | In this paper, we consider a priori error estimates for the finite volume element schemes of optimal control problems, which are governed by linear elliptic partial differential equation. The variational discretization approach is used to deal with the control. The error estimation shows that the combination of variational discretization and finite volume element formulation allows optimal convergence. Numerical results are provided to support our theoretical analysis. |
| format | Article |
| id | doaj-art-2e2e2564c2284cf2bfadcc8c203f70a8 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-2e2e2564c2284cf2bfadcc8c203f70a82025-02-03T01:03:13ZengWileyInternational Journal of Differential Equations1687-96431687-96512018-01-01201810.1155/2018/47537924753792Finite Volume Element Approximation for the Elliptic Equation with Distributed ControlQuanxiang Wang0Tengjin Zhao1Zhiyue Zhang2College of Engineering, Nanjing Agricultural University, Nanjing 210031, ChinaJiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, ChinaJiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, ChinaIn this paper, we consider a priori error estimates for the finite volume element schemes of optimal control problems, which are governed by linear elliptic partial differential equation. The variational discretization approach is used to deal with the control. The error estimation shows that the combination of variational discretization and finite volume element formulation allows optimal convergence. Numerical results are provided to support our theoretical analysis.http://dx.doi.org/10.1155/2018/4753792 |
| spellingShingle | Quanxiang Wang Tengjin Zhao Zhiyue Zhang Finite Volume Element Approximation for the Elliptic Equation with Distributed Control International Journal of Differential Equations |
| title | Finite Volume Element Approximation for the Elliptic Equation with Distributed Control |
| title_full | Finite Volume Element Approximation for the Elliptic Equation with Distributed Control |
| title_fullStr | Finite Volume Element Approximation for the Elliptic Equation with Distributed Control |
| title_full_unstemmed | Finite Volume Element Approximation for the Elliptic Equation with Distributed Control |
| title_short | Finite Volume Element Approximation for the Elliptic Equation with Distributed Control |
| title_sort | finite volume element approximation for the elliptic equation with distributed control |
| url | http://dx.doi.org/10.1155/2018/4753792 |
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