Maximal discrete sparsity in parabolic optimal control with measures
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Publication:828994
DOI10.3934/mcrf.2020018zbMath1462.49011arXiv1804.10549OpenAlexW3012739608MaRDI QIDQ828994
Henrik Schumacher, Evelyn Herberg, Michael Hinze
Publication date: 5 May 2021
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.10549
Numerical methods involving duality (49M29) Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)
Related Items (2)
Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation ⋮ Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations
Cites Work
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- Elliptic optimal control problems with \(L^1\)-control cost and applications for the placement of control devices
- Nonsmooth analysis
- Functional analysis, Sobolev spaces and partial differential equations
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- Sparse initial data identification for parabolic PDE and its finite element approximations
- Parabolic control problems in space-time measure spaces
- A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space
- A duality-based approach to elliptic control problems in non-reflexive Banach spaces
- Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions
- Optimization with PDE Constraints
- Error estimates for finite element approximations of parabolic equations with measure data
- Parabolic Control Problems in Measure Spaces with Sparse Solutions
- Measure Valued Directional Sparsity for Parabolic Optimal Control Problems
- Crank--Nicolson Time Stepping and Variational Discretization of Control-Constrained Parabolic Optimal Control Problems
- Galerkin Finite Element Methods for Parabolic Problems
- A Priori Error Analysis for Finite Element Approximation of Parabolic Optimal Control Problems with Pointwise Control
- Convergence Properties of the Spline Fit
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