Projection-Grid Schemes on Irregular Grids for a Parabolic Equation

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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).

About the authors

O. G. Olkhovskaya

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Author for correspondence.
Email: olkhovsk@gmail.com
125047, Moscow, Russia

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Copyright (c) 2023 O.G. Olkhovskaya

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