ANALYSIS OF THE DGFEM FOR NONLINEAR CONVECTION-DIFFUSION PROBLEMS

被引：0
|
作者：
Feistauer, Miloslav [1 ]
Kucera, Vaclav [1 ]
机构：
[1] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Czech Republic
来源：
ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS | 2008年 / 32卷
关键词：
nonlinear nonstationary convection-diffusion problems; nonlinear convection; nonlinear diffusion; discontinuous Galerkin finite element method; NIPG; SIPG and IIPG versions; optimal error estimates;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is concerned with the analysis of error estimates of the discontinuous Galerkin finite element method (DGFEM) for the numerical solution of nonstationary nonlinear convection-diffusion problems equipped with Dirichlet boundary conditions. First, the case of nonlinear diffusion as well as nonlinear convection is considered. Then, the optimal L-infinity(L-2)-error estimate is discussed in the case of nonlinear convection and linear diffusion.
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页码：33 / 48
页数：16
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