Email this article Properties of grid boundary value problems for functions defined on grid cells and faces
- Authors: Ardelyan N.V.1, Kosmachevskii K.V.1, Sablin M.N.1
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Affiliations:
- Department of Computational Mathematics and Cybernetics
- Issue: Vol 41, No 3 (2017)
- Pages: 105-112
- Section: Article
- URL: https://journals.rcsi.science/0278-6419/article/view/176187
- DOI: https://doi.org/10.3103/S0278641917030025
- ID: 176187
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Abstract
Properties of a version of MFD method are studied for a grid problem on a polyhedral grid in which the grid scalars are defined on grid cells and the grid flows are specified by their local normal coordinates on the plane faces of cells. In a domain with curvilinear boundary, a grid inhomogeneous boundary value problem for stationary diffusion-type equations is considered. An operator statement of the grid problem is given, and a local approximation of the equations and boundary conditions is studied.
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About the authors
N. V. Ardelyan
Department of Computational Mathematics and Cybernetics
Author for correspondence.
Email: ardel@cs.msu.su
Russian Federation, Moscow, 119991
K. V. Kosmachevskii
Department of Computational Mathematics and Cybernetics
Email: ardel@cs.msu.su
Russian Federation, Moscow, 119991
M. N. Sablin
Department of Computational Mathematics and Cybernetics
Email: ardel@cs.msu.su
Russian Federation, Moscow, 119991
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