Numerical integration in the DGFEM for 3D nonlinear convection-diffusion problems on nonconforming meshes

被引：3

作者：

Sobotikova, Veronika ^{[1
]}

机构：

[1] Czech Tech Univ, Fac Elect Engn, Prague 16627 6, Czech Republic

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2008年 / 29卷 / 7-8期

关键词：

discontinuous Galerkin finite element method; error estimates; nonlinear convection-diffusion equation; numerical integration; truncation error;

D O I：

10.1080/01630560802279272

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The effect of numerical integration in a discontinuous Galerkin finite element method for a nonstationary nonlinear convection-diffusion problem in 3D is studied. In the space semidiscretization, the volume and surface integrals are evaluated with the aid of numerical quadratures. An estimate of the error caused by the numerical integration is presented, and it is shown what quadrature formulas guarantee preservation of the accuracy of the method with exact integration.

引用

页码：927 / 958

页数：32

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