Abstract
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.
Dedicated to Professor Thomas Apel on his 60th birthday
Funding source: Agencia Estatal de Investigación
Award Identifier / Grant number: PID2020-114837GB-I00
Funding statement: The authors were supported by MCIN/AEI/10.13039/501100011033 under research project PID2020-114837GB-I00.
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Recent Advances in Finite Element Methods
- A Domain Decomposition Scheme for Couplings Between Local and Nonlocal Equations
- Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements
- A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport
- Error Estimates for the Numerical Approximation of Unregularized Sparse Parabolic Control Problems
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- Implicit Runge–Kutta Schemes for Optimal Control Problems with Evolution Equations
- A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions
- A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles
- Robust Finite Element Discretization and Solvers for Distributed Elliptic Optimal Control Problems
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Articles in the same Issue
- Frontmatter
- Recent Advances in Finite Element Methods
- A Domain Decomposition Scheme for Couplings Between Local and Nonlocal Equations
- Novel Raviart–Thomas Basis Functions on Anisotropic Finite Elements
- A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport
- Error Estimates for the Numerical Approximation of Unregularized Sparse Parabolic Control Problems
- An Analysis of High-Frequency Helmholtz Problems in Domains with Conical Points and Their Finite Element Discretisation
- Implicit Runge–Kutta Schemes for Optimal Control Problems with Evolution Equations
- A Multilevel Extension of the GDSW Overlapping Schwarz Preconditioner in Two Dimensions
- A Numerical Assessment of Finite Element Discretizations for Convection-Diffusion-Reaction Equations Satisfying Discrete Maximum Principles
- Robust Finite Element Discretization and Solvers for Distributed Elliptic Optimal Control Problems
- Finite Element Approximations for PDEs with Irregular Dirichlet Boundary Data on Boundary Concentrated Meshes