OPTIMAL ERROR ESTIMATES IN THE DG METHOD FOR NONLINEAR CONVECTION-DIFFUSION PROBLEMS

被引：0

作者：

Kucera, Vaclav ^{[1
]}

机构：

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

来源：

ALGORITMY 2009: 18TH CONFERENCE ON SCIENTIFIC COMPUTING | 2009年

关键词：

convection-diffusion equation; nonlinear diffusion; discontinuous Galerkin finite element method; optimal error estimates; DISCONTINUOUS GALERKIN METHOD;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper is concerned with the analysis of the discontinuous Galerkin finite element method (DGFEM) applied to the space semidiscretization of a nonstationary convection-diffusion problem with nonlinear convection and nonlinear diffusion. Optimal estimates in the L(infinity)(L(2))-norm are derived for the symmetric interior penalty (SIPG) scheme in two dimensions. The error analysis is carried out for nonconforming triangular meshes under the assumption that the exact solution of the problem and the solution of a linearised elliptic dual problem are sufficiently regular.

引用

页码：236 / 245

页数：10

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