Abstract
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.
ACKNOWLEDGMENTS
The research was a part of the research project MSM 6840770010 financed by the Ministry of Education of the Czech Republic.