Abstract
A family of projection-grid schemes has been constructed for approximating parabolic equations with a variable diffusion coefficient in tensor form. The schemes are conservative and retain the self-adjointness of the original differential operator and are destined for calculations on 3D irregular difference grids, including tetrahedral, mixed (grids of arbitrary polyhedra), and locally adaptive (octal-tree type).
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Funding
This work was supported by the Moscow Center for Fundamental and Applied Mathematics, Agreement with the Ministry of Science and Higher Education of the Russian Federation No. 075-15-2022-283.
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Translated by E. Chernokozhin
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Olkhovskaya, O.G. Projection-Grid Schemes on Irregular Grids for a Parabolic Equation. Comput. Math. and Math. Phys. 63, 2435–2450 (2023). https://doi.org/10.1134/S0965542523120175
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DOI: https://doi.org/10.1134/S0965542523120175