Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems
Result description
Optimal control problems for PDEs arise in many important applications. A main step in the solution process is the solution of the arising linear system, where the crucial point is usually finding a proper preconditioner. We propose both proper block diagonal and more involved preconditioners, and derive mesh independent superlinear convergence of the preconditioned GMRES iterations based on a compact perturbation property of the underlying operators.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
https://www.tandfonline.com/doi/full/10.1080/01630563.2018.1431928?scroll=top&needAccess=true
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems
Original language description
Optimal control problems for PDEs arise in many important applications. A main step in the solution process is the solution of the arising linear system, where the crucial point is usually finding a proper preconditioner. We propose both proper block diagonal and more involved preconditioners, and derive mesh independent superlinear convergence of the preconditioned GMRES iterations based on a compact perturbation property of the underlying operators.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Numerical Functional Analysis and Optimization
ISSN
0163-0563
e-ISSN
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Volume of the periodical
39
Issue of the periodical within the volume
9
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
921-936
UT code for WoS article
000432556300001
EID of the result in the Scopus database
2-s2.0-85041891838
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Applied mathematics
Year of implementation
2018