Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems-Reference-Cited by-同舟云学术

Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems

Published:2023-10-08 Issue:4 Volume:60 Page:
ISSN:0008-0624
Container-title:Calcolo
language:en
Short-container-title:Calcolo

Author:

Dravins Ivo,Neytcheva Maya^ORCID

Abstract

AbstractWe consider the iterative solution of algebraic systems, arising in optimal control problems constrained by a partial differential equation with additional box constraints on the state and the control variables, and sparsity imposed on the control. A nonsymmetric two-by-two block preconditioner is analysed and tested for a wide range of problem, regularization and discretization parameters. The constraint equation characterizes convection-diffusion processes.

Funder

Vetenskapsrådet

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s10092-023-00542-4.pdf

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