Proximal Methods for Elliptic Optimal Control Problems with Sparsity Cost Functional

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Applied Mathematics

ISSN Print: 2152-7385
ISSN Online: 2152-7393
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"Proximal Methods for Elliptic Optimal Control Problems with Sparsity Cost Functional"
written by Andreas Schindele, Alfio Borzì,
published by Applied Mathematics, Vol.7 No.9, 2016

has been cited by the following article(s):

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[8]	Sparse reconstruction of log-conductivity in current density impedance tomography
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[9]	A numerical solver for the Fokker-Planck optimal control of stochastic jump-diffusion processes
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[10]	A New Optimization Approach to Sparse Reconstruction of Log-Conductivity in Acousto-Electric Tomography
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[11]	EFFICIENT DUALITY-BASED NUMERICAL METHODS FOR SPARSE PARABOLIC OPTIMAL CONTROL PROBLEMS
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[12]	An FE-dABCD algorithm for elliptic optimal control problems with constraints on the gradient of the state and control
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[13]	An FE-Inexact Heterogeneous ADMM for Elliptic Optimal Control Problems with L1-Control Cost
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[14]	An efficient duality-based approach for PDE-constrained sparse optimization
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[15]	Mesh Independence of an Accelerated Block Coordinate Descent Method for Sparse Optimal Control Problems
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[16]	Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization
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[17]	Theoretical and numerical analysis of Fokker-Planck optimal control problems for jump-diffusion processes
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[18]	A FE-inexact heterogeneous ADMM for Elliptic Optimal Control Problems with {}-Control Cost
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[19]	Error estimates for sparse optimal control problems by piecewise linear finite element approximation
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[20]	A Fokker-Planck Based Approach to Control Jump Processes
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[21]	Proximal methods in medical image reconstruction and in nonsmooth optimal control of partial differential equations
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[22]	On Optimal Sparse-Control Problems Governed by Jump-Diffusion Processes
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[23]	A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem
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[24]	Proximal schemes for parabolic optimal control problems with sparsity promoting cost functionals
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[1]	A Multilevel Heterogeneous ADMM Algorithm for Elliptic Optimal Control Problems with L1-Control Cost Mathematics, 2023 DOI:10.3390/math11030570

[2]	Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging 2023 DOI:10.1007/978-3-030-98661-2_129

[3]	Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems SIAM Journal on Matrix Analysis and Applications, 2023 DOI:10.1137/22M1485759

[4]	Smoothing Analysis of Two Robust Multigrid Methods for Elliptic Optimal Control Problems SIAM Journal on Matrix Analysis and Applications, 2023 DOI:10.1137/22M1485759

[5]	On fast convergence rates for generalized conditional gradient methods with backtracking stepsize Numerical Algebra, Control and Optimization, 2022 DOI:10.3934/naco.2022026

[6]	Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization ESAIM: Control, Optimisation and Calculus of Variations, 2022 DOI:10.1051/cocv/2022058

[7]	Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging 2022 DOI:10.1007/978-3-030-03009-4_129-1

[8]	A sparsity-based Fokker-Planck optimal control framework for modeling traffic flows APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 12th International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’20, 2020 DOI:10.1063/5.0033514

[9]	A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem ESAIM: Control, Optimisation and Calculus of Variations, 2019 DOI:10.1051/cocv/2018019

[10]	Sparse Reconstruction of Log-Conductivity in Current Density Impedance Tomography Journal of Mathematical Imaging and Vision, 2019 DOI:10.1007/s10851-019-00929-5

[11]	A New Optimization Approach to Sparse Reconstruction of Log-Conductivity in Acousto-Electric Tomography SIAM Journal on Imaging Sciences, 2018 DOI:10.1137/17M1148451

[12]	An FE-Inexact Heterogeneous ADMM for Elliptic Optimal Control Problems with L1-Control Cost Journal of Systems Science and Complexity, 2018 DOI:10.1007/s11424-018-7448-6

[13]	Proximal schemes for parabolic optimal control problems with sparsity promoting cost functionals International Journal of Control, 2017 DOI:10.1080/00207179.2016.1245870

[14]	Primal-Dual Extragradient Methods for Nonlinear Nonsmooth PDE-Constrained Optimization SIAM Journal on Optimization, 2017 DOI:10.1137/16M1080859

[15]	Novel Methods in Computational Finance Mathematics in Industry, 2017 DOI:10.1007/978-3-319-61282-9_23

[16]	An efficient duality-based approach for PDE-constrained sparse optimization Computational Optimization and Applications, 2017 DOI:10.1007/s10589-017-9951-4

[17]	On Optimal Sparse-Control Problems Governed by Jump-Diffusion Processes Applied Mathematics, 2016 DOI:10.4236/am.2016.716162

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