Geodesic
Parallel application package Helmholtz3D
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 2, pp. 18-32

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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. 
@article{VYURV_2013_2_2_a1,
     author = {D. S. Butyugin},
     title = {Parallel application package {Helmholtz3D}},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a Vy\v{c}islitelʹna\^a matematika i informatika},
     pages = {18--32},
     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURV_2013_2_2_a1/}
}
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D. S. Butyugin. Parallel application package Helmholtz3D. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 2, pp. 18-32. http://geodesic.mathdoc.fr/item/VYURV_2013_2_2_a1/