Error estimates for the numerical approximation of unregularized sparse parabolic control problems
We study the numerical approximation of a control problem governed by a semilinear parabolic problem, where the usual Tikhonov regularization term in the cost functional is replaced by a non-differentiable sparsity-promoting term.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/30904 |
| Acceso en línea: | https://hdl.handle.net/10902/30904 |
| Access Level: | acceso abierto |
| Palabra clave: | Optimal control Sparse controls Semilinear parabolic equations Finite element approximation |
| Sumario: | We study the numerical approximation of a control problem governed by a semilinear parabolic problem, where the usual Tikhonov regularization term in the cost functional is replaced by a non-differentiable sparsity-promoting term. |
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