Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems
Explicit formulae of constants within the a posteriori error estimate for optimal control problems are investigated with Legendre-Galerkin spectral methods. The constrained set is put on the control variable. For simpleness, one-dimensional bounded domain is taken. Meanwhile, the corresponding a pos...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/542307 |
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| _version_ | 1832555124871921664 |
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| author | Jianwei Zhou |
| author_facet | Jianwei Zhou |
| author_sort | Jianwei Zhou |
| collection | DOAJ |
| description | Explicit formulae of constants within the a posteriori error estimate for optimal control problems are investigated with Legendre-Galerkin spectral methods. The constrained set is put on the control variable. For simpleness, one-dimensional bounded domain is taken. Meanwhile, the corresponding a posteriori error indicator is established with explicit constants. |
| format | Article |
| id | doaj-art-ace7947e033d4a978a33e84861e0be6a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ace7947e033d4a978a33e84861e0be6a2025-02-03T05:49:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/542307542307Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control ProblemsJianwei Zhou0Department of Mathematics, Linyi University, Shandong, ChinaExplicit formulae of constants within the a posteriori error estimate for optimal control problems are investigated with Legendre-Galerkin spectral methods. The constrained set is put on the control variable. For simpleness, one-dimensional bounded domain is taken. Meanwhile, the corresponding a posteriori error indicator is established with explicit constants.http://dx.doi.org/10.1155/2014/542307 |
| spellingShingle | Jianwei Zhou Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems Abstract and Applied Analysis |
| title | Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems |
| title_full | Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems |
| title_fullStr | Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems |
| title_full_unstemmed | Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems |
| title_short | Constants within Error Estimates for Legendre-Galerkin Spectral Approximations of Control-Constrained Optimal Control Problems |
| title_sort | constants within error estimates for legendre galerkin spectral approximations of control constrained optimal control problems |
| url | http://dx.doi.org/10.1155/2014/542307 |
| work_keys_str_mv | AT jianweizhou constantswithinerrorestimatesforlegendregalerkinspectralapproximationsofcontrolconstrainedoptimalcontrolproblems |