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

被引：27

作者：

Knobloch, Petr ^{[1
]}

机构：

[1] Charles Univ, Fac Math & Phys, Dept Numer Math, Prague 18675 8, Czech Republic

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2006年 / 196卷 / 1-3期

关键词：

stabilized FEM; convection-diffusion; convection-diffusion-reaction; Petrov-Galerkin method; discrete maximum principle;

D O I：

10.1016/j.cma.2006.06.004

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the Mizukami-Hughes method for the numerical solution of scalar two-dimensional steady convection-diffusion equations using conforming triangular piecewise linear finite elements. We propose several modifications of this method to eliminate its shortcomings. The improved method still satisfies the discrete maximum principle and gives very accurate discrete solutions in convection-dominated regime, which is illustrated by several numerical experiments. In addition, we show how the Mizukami-Hughes method can be applied to convection-diffusion-reaction equations and to three-dimensional problems. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：579 / 594

页数：16

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