This article is cited in 15 papers

Finite-volume algorithm for solving the time-dependent Maxwell equations on unstructured meshes

A. S. Lebedev, M. P. Fedoruk, O. V. Shtyrina

Institute of Computational Technologies, Siberian Division, Russian Academy of Sciences, pr. Akademika Lavrent'eva 6, Novosibirsk, 630090, Russia

Abstract: A finite-volume method is proposed for solving the time-dependent Maxwell equations on unstructured triangular meshes. The results of test computations show that the method has a second-order convergence rate for homogeneous media and a close-to-second-order convergence rate for media with spatially discontinuous permittivity.

Key words: time-dependent Maxwell equations, numerical method, unstructured triangular meshes, finite-volume method, jump in permittivity.

UDC: 519.634

Received: 24.12.2004

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:7, 1219–1233

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