Applications of the PRESB Preconditioning Method for OPT-PDE Problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F21%3A00549527" target="_blank" >RIV/68145535:_____/21:00549527 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/chapter/10.1007%2F978-3-030-55874-1_6" target="_blank" >https://link.springer.com/chapter/10.1007%2F978-3-030-55874-1_6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-55874-1_6" target="_blank" >10.1007/978-3-030-55874-1_6</a>
Alternative languages
Result language
angličtina
Original language name
Applications of the PRESB Preconditioning Method for OPT-PDE Problems
Original language description
Optimal control problems constrained by partial differential equations arise in a multitude of important applications. They lead mostly to the solution of very large scale algebraic systems to be solved, which must be done by iterative methods. The problems should then be formulated so that they can be solved fast and robust, which requires the construction of an efficient preconditioner. After reduction of a variable, a two-by-two block matrix system with square blocks arises for which such a preconditioner, PRESB is presented, involving the solution of two algebraic systems which are a linear combination of the matrix blocks. These systems can be solved by inner iterations, involving some available classical solvers to some relative, not very demanding tolerance.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
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)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Lecture Notes in Computational Science and Engineering
ISBN
978-3-030-55873-4
ISSN
1439-7358
e-ISSN
2197-7100
Number of pages
8
Pages from-to
73-81
Publisher name
Springer
Place of publication
Cham
Event location
Egmond aan Zee
Event date
Sep 30, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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