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High Order Whitney Forms on Simplices and the Question of Potentials Read chapter Read first chapter

2021 | OriginalPaper | Chapter

PDE-Constrained Optimization: Optimal control with L 1-Regularization, State and Control Box Constraints

Authors : Ivo Dravins, Maya Neytcheva

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2019

Publisher: Springer International Publishing

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Abstract

We present a method for solving optimal control problems constrained by a partial differential equation, where we simultaneously impose sparsity-promoting L 1-regularization on the control as well as box constraints on both the control and the state. We focus on numerical implementation aspects and on preconditioners used when solving the arising linear systems.

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previous chapter Novel Flux Approximation Schemes for Systems of Coupled Advection-Diffusion-Reaction Equations
next chapter A Time-Simultaneous Multigrid Method for Parabolic Evolution Equations
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Metadata
Title
PDE-Constrained Optimization: Optimal control with L 1-Regularization, State and Control Box Constraints
Authors
Ivo Dravins
Maya Neytcheva
Copyright Year
2021
Book
Numerical Mathematics and Advanced Applications ENUMATH 2019

Print ISBN: 978-3-030-55873-4

Electronic ISBN: 978-3-030-55874-1

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-55874-1_31

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