Solution of degenerate convection-diffusion problems by the method of characteristics

被引：23

作者：

Kacur, J ^{[1
]}

机构：

[1] Comenius Univ, Fac Math & Phys, Dept Numer Anal, Bratislava 84215, Slovakia

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2001年 / 39卷 / 03期

关键词：

degenerate diffusion; convection-diffusion; relaxation methods; method of characteristics;

D O I：

10.1137/S0036142998336643

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new approximation scheme is proposed to solve nonlinear degenerate convection-diffusion problems. The method is based on a relaxation scheme developed for degenerate parabolic problems in [W. Jager and J. Kacur, Numer. Math., 60 (1991), pp. 407-427; M2AN Math. Model. Numer. Anal., 29 (1995), pp. 605-627], and on the method of characteristics [ J. Douglas and T. I. Russell, SIAM J. Numer. Anal., 19 (1982), pp. 871-885], [O. Pironneau, Numer. Math., 38 (1982), pp. 309-332].

引用

页码：858 / 879

页数：22

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