A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints
We present a new error analysis for finite element methods for a linear-quadratic elliptic optimal control problem with Neumann boundary control and pointwise control constraints. It can be applied to standard finite element methods when the coefficients in the elliptic operator are smooth and also...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Results in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037425000081 |
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| _version_ | 1850037518176616448 |
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| author | Susanne C. Brenner Li-Yeng Sung |
| author_facet | Susanne C. Brenner Li-Yeng Sung |
| author_sort | Susanne C. Brenner |
| collection | DOAJ |
| description | We present a new error analysis for finite element methods for a linear-quadratic elliptic optimal control problem with Neumann boundary control and pointwise control constraints. It can be applied to standard finite element methods when the coefficients in the elliptic operator are smooth and also to multiscale finite element methods when the coefficients are rough. |
| format | Article |
| id | doaj-art-4f7db570fd0f4517a7679688aa44d908 |
| institution | DOAJ |
| issn | 2590-0374 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Applied Mathematics |
| spelling | doaj-art-4f7db570fd0f4517a7679688aa44d9082025-08-20T02:56:51ZengElsevierResults in Applied Mathematics2590-03742025-02-012510054410.1016/j.rinam.2025.100544A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraintsSusanne C. Brenner0Li-Yeng Sung1Corresponding author.; Department of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, USADepartment of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, USAWe present a new error analysis for finite element methods for a linear-quadratic elliptic optimal control problem with Neumann boundary control and pointwise control constraints. It can be applied to standard finite element methods when the coefficients in the elliptic operator are smooth and also to multiscale finite element methods when the coefficients are rough.http://www.sciencedirect.com/science/article/pii/S2590037425000081Elliptic Neumann boundary control problemsPointwise control constraintsFinite element methodsRough coefficientsMultiscale |
| spellingShingle | Susanne C. Brenner Li-Yeng Sung A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints Results in Applied Mathematics Elliptic Neumann boundary control problems Pointwise control constraints Finite element methods Rough coefficients Multiscale |
| title | A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints |
| title_full | A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints |
| title_fullStr | A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints |
| title_full_unstemmed | A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints |
| title_short | A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints |
| title_sort | new error analysis for finite element methods for elliptic neumann boundary control problems with pointwise control constraints |
| topic | Elliptic Neumann boundary control problems Pointwise control constraints Finite element methods Rough coefficients Multiscale |
| url | http://www.sciencedirect.com/science/article/pii/S2590037425000081 |
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