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Preconditioners for Time-Harmonic Optimal Control Eddy-Current Problems
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SYSNO ASEP 0483094 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Preconditioners for Time-Harmonic Optimal Control Eddy-Current Problems Author(s) Axelsson, Owe (UGN-S) RID
Lukáš, D. (CZ)Number of authors 2 Source Title Lecture Notes in Computer Science. - Berlin : Springer International Publishing AG, 2018 - ISSN 0302-9743 - ISBN 978-3-319-73440-8 Pages s. 47-54 Number of pages 9 s. Publication form Online - E Action LSSC 2017 - Large Scale Scientific Computing 2017 /11./ Event date 05.06.2017 - 09.06.2017 VEvent location Sozopol Country BG - Bulgaria Event type EUR Language eng - English Country DE - Germany Keywords preconditioning ; Krylov subspace methods Optimal control ; Eddy currents ; time-harmonic Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Institutional support UGN-S - RVO:68145535 UT WOS 000553251300004 EID SCOPUS 85041706665 DOI 10.1007/978-3-319-73441-5_4 Annotation Time-harmonic formulations enable solution of time-dependent PDEs without use of normally slow time-stepping methods. Two efficient preconditioners for the discretized parabolic and eddy current
electromagnetic optimal control problems, one on block diagonal form and one utilizing the two by two block structure of the resulting matrix, are presented with simplified analysis and numerical illustrations. Both methods result in tight eigenvalue bounds for the preconditioned matrix and very few iterations that hold uniformly with respect to the mesh, problem and method parameters, with the exception of the dependence on reluctivity for the block diagonal preconditioner.Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2019 Electronic address https://link.springer.com/chapter/10.1007/978-3-319-73441-5_4
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