A Flux Predictor–Corrector Scheme for Solving a 3D Heat Transfer Problem

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Abstract

In this paper, a flux predictor–corrector scheme in the three-dimensional case is proposed and studied. This scheme has no shortcomings of a scheme constructed on the basis of a Douglas–Gunn prototype-scheme. Numerical experiments with the scheme proposed in this paper demonstrate second-order accuracy.

Original languageEnglish
Pages (from-to)287-298
Number of pages12
JournalNumerical Analysis and Applications
Volume10
Issue number4
DOIs
Publication statusPublished - 1 Oct 2017

Keywords

  • heat flux
  • mixed finite element method
  • predictor–corrector scheme
  • splitting scheme

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