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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2009 Volume 10, Issue 1, Pages 28–33 (Mi vmp352)

Вычислительные методы и приложения

A parallel algorithm of the finite-volume method for solving 3D Maxwell equations in nanocomposite media

L. Yu. Prokopeva, M. P. Fedoruk, A. S. Lebedev

Institute of Computational Technologies, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: An efficient parallel algorithm of the finite-volume method is proposed for the three-dimensional modeling of electromagnetic phenomena in metamaterials (artificial nanostructured media). The algorithm is parallelized for a high-performance computing environment using the domain decomposition approach and is modified for an accurate modeling of complex nanocomposite media, such as most of metamaterials are. These techniques are illustrated by numerical modeling of a hyperlens (a strongly anisotropic metamaterial device that allows one to overcome the diffraction limit of conventional optical imaging).

Keywords: Maxwell equations; mathematical modeling; finite-volume method; parallel algorithms; metamaterials.

UDC: 519.688



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