Finite element methods for an optimal steady-state control problem
An optimal steady‐state control problem governed by an elliptic state equation is solved by several finite element methods. Finite element discretizations are applied to different variational formulations of the problem yielding accurate numerical results as compared with the given analytical soluti...
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| Veröffentlicht in: | International journal for numerical methods in engineering 1978, Vol.12 (9), p.1375-1382 |
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| Format: | Artikel |
| Sprache: | eng |
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| container_end_page | 1382 |
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| container_issue | 9 |
| container_start_page | 1375 |
| container_title | International journal for numerical methods in engineering |
| container_volume | 12 |
| creator | Meric, R. A. |
| description | An optimal steady‐state control problem governed by an elliptic state equation is solved by several finite element methods. Finite element discretizations are applied to different variational formulations of the problem yielding accurate numerical results as compared with the given analytical solution. It is sated that, for minimum computational effort and high accuracy, ‘mixed’ finite elements requiring only C° continuity, and approximating the control and state functions simultaneously are better suited to similar ‘fourth order’ problems. |
| doi_str_mv | 10.1002/nme.1620120906 |
| format | Article |
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A.</creatorcontrib><title>Finite element methods for an optimal steady-state control problem</title><title>International journal for numerical methods in engineering</title><addtitle>Int. J. Numer. Meth. Engng</addtitle><description>An optimal steady‐state control problem governed by an elliptic state equation is solved by several finite element methods. Finite element discretizations are applied to different variational formulations of the problem yielding accurate numerical results as compared with the given analytical solution. 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| fulltext | fulltext |
| identifier | ISSN: 0029-5981 |
| ispartof | International journal for numerical methods in engineering, 1978, Vol.12 (9), p.1375-1382 |
| issn | 0029-5981 1097-0207 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_23070608 |
| source | Wiley Online Library Journals Frontfile Complete |
| title | Finite element methods for an optimal steady-state control problem |
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