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Siberian Journal of Numerical Mathematics

2017 year, number 4

The flux predictor-corrector scheme for solving a 3D heat transfer problem

K.V. Voronin1, Yu.M. Laevsky1,2
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentieva 6, Novosibirsk, 630090, Russia
2Novosibirsk State University, Pirogova st., 2, Novosibirsk, 630090, Russia
Keywords: смешанный метод конечных элементов, тепловой поток, схема расщепления, схема предиктор-корректор, mixed finite element method, heat flux, splitting scheme, predictor-corrector scheme

Abstract

In this paper we propose and study the flux predictor-corrector scheme in the three-dimensional case. This scheme is depleted of drawbacks of that constructed on the basis of the Douglas-Gunn prototype-scheme. The scheme proposed demonstrates the second order of accuracy.