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First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations Read chapter Read first chapter

2020 | OriginalPaper | Chapter

PDE-Constrained Optimization: Matrix Structures and Preconditioners

Authors : Ivo Dravins, Maya Neytcheva

Published in: Large-Scale Scientific Computing

Publisher: Springer International Publishing

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Abstract

In this paper we briefly account for the structure of the matrices, arising in various optimal control problems, constrained by PDEs, and how it can be utilized when constructing preconditioners for the arising linear systems to be solved in the optimization framework.

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Metadata
Title
PDE-Constrained Optimization: Matrix Structures and Preconditioners
Authors
Ivo Dravins
Maya Neytcheva
Copyright Year
2020
Book
Large-Scale Scientific Computing

Print ISBN: 978-3-030-41031-5

Electronic ISBN: 978-3-030-41032-2

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-41032-2_36

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