On the stability of some flux splitting schemes
Kirill Vladislavovich Voronin, Yuri Mironovich Laevsky
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Lavrentieva, 6, Novosibirsk, Russia, 630090
2Novosibirsk State University, Pirogova 2, Novosibirsk, Russia, 630090
Keywords: heat transfer, mixed formulation, finite element method, splitting scheme
Abstract
In this paper, we investigate the stability of some splitting schemes approximating the equations for a heat flux, obtained by a mixed finite element method. For the two-dimensional problem, the splitting scheme is based on the alternating direction method, and for the three-dimensional problem the splitting scheme is based on the Douglas-Gunn scheme.
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