A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909376237797376 |
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| author | Brenner, Susanne C. Sung, Li-yeng |
| author_facet | Brenner, Susanne C. Sung, Li-yeng |
| contents | 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 coefficient s in the elliptic operator are smooth and also to multiscale finite element methods when the coefficients are rough. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01550 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints Brenner, Susanne C. Sung, Li-yeng Numerical Analysis Optimization and Control 65N30, 65K10, 49M41 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 coefficient s in the elliptic operator are smooth and also to multiscale finite element methods when the coefficients are rough. |
| title | A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints |
| topic | Numerical Analysis Optimization and Control 65N30, 65K10, 49M41 |
| url | https://arxiv.org/abs/2411.01550 |