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This article is cited in 1 scientific paper (total in 1 paper)
A difference scheme for a conjugate-operator model of the heat conduction problem on non-matching grids
S. B. Sorokinab a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2 Pirogova str., Novosibirsk, 630090, Russia
Abstract:
On non-matching grids discrete analogue conjugate-operator models of heat conduction, keeping the structure of the original model are constructed. Numerical experiments show that the difference scheme converges with second order of accuracy for the case of discontinuous parameters of the medium in the Fourier law and non-uniform grids.
Key words:
problem of heat conductivity, mathematical model, discrete analog, non-matching grid, convergence, difference scheme.
Received: 28.12.2015 Revised: 22.04.2016
Citation:
S. B. Sorokin, “A difference scheme for a conjugate-operator model of the heat conduction problem on non-matching grids”, Sib. Zh. Vychisl. Mat., 19:4 (2016), 429–439; Num. Anal. Appl., 9:4 (2016), 335–345
Linking options:
https://www.mathnet.ru/eng/sjvm628 https://www.mathnet.ru/eng/sjvm/v19/i4/p429
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Abstract page: | 169 | Full-text PDF : | 26 | References: | 24 | First page: | 5 |
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