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.

引用

页码：33 / 48

页数：16

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