A note on preconditioning methods for time-periodic eddy current optimal control problems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F19%3A00509838" target="_blank" >RIV/68145535:_____/19:00509838 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0377042718306757" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0377042718306757</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2018.11.010" target="_blank" >10.1016/j.cam.2018.11.010</a>
Alternative languages
Result language
angličtina
Original language name
A note on preconditioning methods for time-periodic eddy current optimal control problems
Original language description
In this paper, iterative solution of optimal control problems constrained by the time-periodic eddy current equations is considered. Two methods for time-harmonic parabolic optimal control problem are further analyzed for solving the complex valued linear systems arising from the edge element discretization process. For both methods, we give preconditioners with eigenvalue distribution results showing that the eigenvalues of the corresponding preconditioned matrices are located in tight intervals away from the origin. Numerical experiments based on 2D and 3D problems show that the two methods coupled with a Krylov subspace acceleration have robust performance with respect to the mesh size, frequency and regularization parameters which enables a numerical comparison of the methods for a wide variety of parameter values.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Computational and Applied Mathematics
ISSN
0377-0427
e-ISSN
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Volume of the periodical
352
Issue of the periodical within the volume
May 2019
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
16
Pages from-to
262-277
UT code for WoS article
000458713000019
EID of the result in the Scopus database
2-s2.0-85058999257