A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods
Abstract In this paper, we consider the a posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic equations. The state is discretized by the order k Raviart–Thomas mixed elements and control is discretized by piecewise polyno...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-05-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1204-2 |
| _version_ | 1818897837477330944 |
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| author | Chunjuan Hou Zhanwei Guo Lianhong Guo |
| author_facet | Chunjuan Hou Zhanwei Guo Lianhong Guo |
| author_sort | Chunjuan Hou |
| collection | DOAJ |
| description | Abstract In this paper, we consider the a posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic equations. The state is discretized by the order k Raviart–Thomas mixed elements and control is discretized by piecewise polynomials of degree k. We adopt the mixed elliptic reconstruction to derive the a posteriori error estimates for both the state and the control approximations. |
| first_indexed | 2024-12-19T19:22:31Z |
| format | Article |
| id | doaj.art-722b70a290dc4d0495238563d52e0cfb |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-19T19:22:31Z |
| publishDate | 2019-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-722b70a290dc4d0495238563d52e0cfb2022-12-21T20:08:57ZengSpringerOpenBoundary Value Problems1687-27702019-05-012019111410.1186/s13661-019-1204-2A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methodsChunjuan Hou0Zhanwei Guo1Lianhong Guo2Huashang College Guangdong University of Finance and EconomicsHuashang College Guangdong University of Finance and EconomicsHuashang College Guangdong University of Finance and EconomicsAbstract In this paper, we consider the a posteriori error estimates of the mixed finite element method for the optimal control problems governed by fourth order hyperbolic equations. The state is discretized by the order k Raviart–Thomas mixed elements and control is discretized by piecewise polynomials of degree k. We adopt the mixed elliptic reconstruction to derive the a posteriori error estimates for both the state and the control approximations.http://link.springer.com/article/10.1186/s13661-019-1204-2A posteriori error estimatesOptimal control problemsFourth order hyperbolic equationsMixed finite element methods |
| spellingShingle | Chunjuan Hou Zhanwei Guo Lianhong Guo A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods Boundary Value Problems A posteriori error estimates Optimal control problems Fourth order hyperbolic equations Mixed finite element methods |
| title | A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods |
| title_full | A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods |
| title_fullStr | A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods |
| title_full_unstemmed | A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods |
| title_short | A posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods |
| title_sort | posteriori error estimates for fourth order hyperbolic control problems by mixed finite element methods |
| topic | A posteriori error estimates Optimal control problems Fourth order hyperbolic equations Mixed finite element methods |
| url | http://link.springer.com/article/10.1186/s13661-019-1204-2 |
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