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Preconditioning methods for eddy current optimally controlled time-harmonic electromagnetic problems
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SYSNO ASEP 0495498 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Preconditioning methods for eddy current optimally controlled time-harmonic electromagnetic problems Author(s) Axelsson, Owe (UGN-S) RID
Lukáš, D. (CZ)Number of authors 2 Source Title Journal of Numerical Mathematics. - : Walter de Gruyter - ISSN 1570-2820
Roč. 27, č. 1 (2019), s. 1-21Number of pages 27 s. Publication form Online - E Language eng - English Country DE - Germany Keywords Boundary element method ; Integral equations ; multipole boundary Subject RIV BA - General Mathematics OECD category Applied mathematics R&D Projects LQ1602 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Limited access Institutional support UGN-S - RVO:68145535 UT WOS 000460431500001 EID SCOPUS 85041384996 DOI 10.1515/jnma-2017-0064 Annotation Time-harmonic problems arise in many important applications, such as eddy current optimally controlled electromagnetic problems. Eddy cur-
rent modelling can also be used in non-destructive testings of conducting materials. Using a truncated Fourier series to approximate the solution, for linear problems the equation for different frequencies separate, so it suffices to study solution methods for the problem for a single frequency. The arising discretized system takes a two-by-two or four-by-four block matrix form. Since the problems are in general three-dimensional in space and hence of very large scale, one must use an iterative solution method. It is then crucial to construct efficient preconditioners. It is shown that an earlier used preconditioner for optimal control problems is applicable here also and leads to very tight eigenvalue bounds and hence very fast convergence such as for a Krylov subspace iterative solution method. A comparison is done with an earlier used block diagonal preconditioner.Workplace Institute of Geonics Contact Lucie Gurková, lucie.gurkova@ugn.cas.cz, Tel.: 596 979 354 Year of Publishing 2020 Electronic address https://www.degruyter.com/view/j/jnma.2019.27.issue-1/jnma-2017-0064/jnma-2017-0064.xml?format=INT
Number of the records: 1