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The flux predictor-corrector scheme for solving a 3D heat transfer problem
K. V. Voroninab, Yu. M. Laevskyab a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev av., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
Abstract:
In this paper we propose and study the flux predictor-corrector scheme in the three-dimensional case. This scheme is depleted of drawbacks of that constructed on the basis of the Douglas–Gunn prototype-scheme. The scheme proposed demonstrates the second order of accuracy.
Key words:
mixed finite element method, heat flux, splitting scheme, predictor-corrector scheme.
Received: 22.12.2016 Revised: 17.02.2017
Citation:
K. V. Voronin, Yu. M. Laevsky, “The flux predictor-corrector scheme for solving a 3D heat transfer problem”, Sib. Zh. Vychisl. Mat., 20:4 (2017), 345–358; Num. Anal. Appl., 10:4 (2017), 287–298
Linking options:
https://www.mathnet.ru/eng/sjvm656 https://www.mathnet.ru/eng/sjvm/v20/i4/p345
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