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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 12, Page 2130
DOI: https://doi.org/10.31857/S0044466923120232 (Mi zvmmf11676) 		 
General numerical methods

Projection grid schemes on irregular grid for parabolic equation

O. G. Olkhovskaya

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences 125047 Moscow, Russia
DOI: https://doi.org/10.31857/S0044466923120232
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).
Key words: nonstationary diffusion equation, projection-grid scheme, irregular grid, locally adaptive grid, conservativity, self-adjointness.
Received: 04.06.2023
Revised: 07.07.2023
Accepted: 22.08.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 12, Pages 2435–2450
DOI: https://doi.org/10.1134/S0965542523120175
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: English
Citation: O. G. Olkhovskaya, “Projection grid schemes on irregular grid for parabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 63:12 (2023), 2130; Comput. Math. Math. Phys., 63:12 (2023), 2435–2450
Citation in format AMSBIB
\Bibitem{Olk23}
\by O.~G.~Olkhovskaya
\paper Projection grid schemes on irregular grid for parabolic equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 12
\pages 2130
\mathnet{http://mi.mathnet.ru/zvmmf11676}
\crossref{https://doi.org/10.31857/S0044466923120232}
\elib{https://elibrary.ru/item.asp?id=54912966}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 12
\pages 2435--2450
\crossref{https://doi.org/10.1134/S0965542523120175}
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