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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2023 Volume 63, Number 12, Page 2130 (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

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.

UDC: 517.95

Received: 04.06.2023
Revised: 07.07.2023
Accepted: 22.08.2023

Language: English

DOI: 10.31857/S0044466923120232


 English version:
Computational Mathematics and Mathematical Physics, 2023, 63:12, 2435–2450

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© Steklov Math. Inst. of RAS, 2026