Numerical integration in the DGFEM for nonlinear convection-diffusion problems

Veronika Sobotíková and Miloslav Feistauer

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 76, issue 1, 193-197

Abstract: The effect of numerical integration in the DGFEM for nonlinear convection-diffusion problems in 2D is studied. The volume and line integrals in the space semidiscretization are evaluated by numerical quadratures. The main goal is to estimate the error caused by the numerical integration and to show what numerical quadratures should be used in order to preserve the accuracy of the method with exact integration.

Keywords: Nonlinear convection-diffusion equation; Discontinuous Galerkin finite element method; Method of lines; Numerical integration; Error estimates (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2007:i:1:p:193-197

DOI: 10.1016/j.matcom.2007.01.018

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