A new iteration and preconditioning method for elliptic PDE-constrained optimization problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F20%3A00534435" target="_blank" >RIV/68145535:_____/20:00534435 - isvavai.cz</a>
Result on the web
<a href="http://www.global-sci.org/intro/article_detail/nmtma/16968.html" target="_blank" >http://www.global-sci.org/intro/article_detail/nmtma/16968.html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4208/nmtma.OA-2020-0016" target="_blank" >10.4208/nmtma.OA-2020-0016</a>

Result language
angličtina
Original language name
A new iteration and preconditioning method for elliptic PDE-constrained optimization problems
Original language description
Optimal control problems constrained by a partial differential equation(PDE) arise in various important applications, such as in engineering and naturalsciences. Normally the problems are of very large scale, so iterative solution meth-ods must be used. Thereby the choice of an iteration method inconjunction withan efficient preconditioner is essential. In this paper, we consider a new iterationmethod and a new preconditioning technique for an elliptic PDE-constrained opti-mal control problem with a distributed control function. Some earlier used iterationmethods and preconditioners in the literature are compared, both analytically andnumerically with the new iteration method and the preconditioner.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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