Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika"
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Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika", 2013, Volume 2, Issue 2, Pages 18–32
DOI: https://doi.org/10.14529/cmse130202
(Mi vyurv79)
 

Computational Mathematics

Parallel application package Helmholtz3D

D. S. Butyuginab

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS (Novosibirsk, Russian Federation)
b Novosibirsk State University
References:
Abstract: The paper present parallel application package Helmholtz3D, which allows to compute three-dimensional time-harmonic electromangetic fields propagating in domains with complicated geometry. In order to solve systems of linear algebraic equations (SLAEs) with complex illconditioned non-hermitian matrices arising in the finite element discretizations, the package uses state-of-the-art iterative methods in Krylov subspace combined with original parallel preconditioners. Package approbation was performed on the series of model and real-life problems of electromangetic field computation in the microwave devices and well logging problems.
Keywords: Maxwell’s equations, finite element method, iterative algorithms, parallel algorithms.
Received: 15.02.2013
Document Type: Article
UDC: 519.63
Language: Russian
Citation: D. S. Butyugin, “Parallel application package Helmholtz3D”, Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2:2 (2013), 18–32
Citation in format AMSBIB
\Bibitem{But13}
\by D.~S.~Butyugin
\paper Parallel application package Helmholtz3D
\jour Vestn. YuUrGU. Ser. Vych. Matem. Inform.
\yr 2013
\vol 2
\issue 2
\pages 18--32
\mathnet{http://mi.mathnet.ru/vyurv79}
\crossref{https://doi.org/10.14529/cmse130202}
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    Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika"
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