Year: 2020
Author: Davod Khojasteh Salkuyeh, Owe Axelsson, Davod Khojasteh Salkuyeh
Numerical Mathematics: Theory, Methods and Applications, Vol. 13 (2020), Iss. 4 : pp. 1098–1122
Abstract
Optimal control problems constrained by a partial differential equation (PDE) arise in various important applications, such as in engineering and natural sciences. Normally the problems are of very large scale, so iterative solution methods must be used. Thereby the choice of an iteration method in conjunction with an efficient preconditioner is essential. In this paper, we consider a new iteration method and a new preconditioning technique for an elliptic PDE-constrained optimal control problem with a distributed control function. Some earlier used iteration methods and preconditioners in the literature are compared, both analytically and numerically with the new iteration method and the preconditioner.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2020-0016
Numerical Mathematics: Theory, Methods and Applications, Vol. 13 (2020), Iss. 4 : pp. 1098–1122
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Preconditioner hybrid PRESB GMRES PDE-constrained optimization optimization.
Author Details
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On the solution of the distributed optimal control problem with time‐periodic parabolic equations
Salkuyeh, Davod Khojasteh
Pourbagher, Maeddeh
Mathematical Methods in the Applied Sciences, Vol. 46 (2023), Iss. 13 P.13671
https://doi.org/10.1002/mma.9282 [Citations: 0]