A difference scheme for a conjugate-operator model of a heat conduction problem on non-matching grids
- Authors: Sorokin S.B.1,2
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Affiliations:
- Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
- Novosibirsk State University
- Issue: Vol 9, No 4 (2016)
- Pages: 335-345
- Section: Article
- URL: https://journals.rcsi.science/1995-4239/article/view/197702
- DOI: https://doi.org/10.1134/S1995423916040078
- ID: 197702
Cite item
Abstract
In this paper, a discrete analog of a conjugate-operator model preserving the structure of the original model is constructed on non-matching grids for a heat conduction problem. Numerical experiments show that the difference scheme converges with second-order accuracy for the case of discontinuous parameters of the medium in the Fourier law and non-uniform grids.
About the authors
S. B. Sorokin
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: sorokin@sscc.ru
Russian Federation, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090