Improvements of the Mizukami-Hughes method for convection-diffusion equations

• ID: 2295, RIV: 10031357
• ISSN: 0045-7825, ISBN: not specified
• source: Computer Methods in Applied Mechanics and Engineering
• keywords: Improvements; Mizukami-Hughes; method; convection-diffusion; equations
• authors: Petr Knobloch
• authors from KNM: Knobloch Petr

Abstract

We propose several modifications of the Mizukami-Hughes method for the numerical solution of scalar two-dimensional steady convection-diffusion equations. The improved method still satisfies the discrete maximum principle and gives very accurate discrete solutions in convection-dominated regime.