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Effect of numerical integration in the DGFEM for nonlinear convection-diffusion problems

✍ Scribed by Veronika Sobotíková; Miloslav Feistauer

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
255 KB
Volume
23
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

This paper is concerned with the effect of numerical integration applied to the discontinuous Galerkin finite element discretization of nonlinear convection‐diffusion problems in 2D. In the space semidiscretization the volume and line integrals are evaluated by numerical quadratures. Our goal is to estimate the error caused by the numerical integration and to show what numerical quadratures guarantee that the accuracy of the method with exact integration is preserved. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2007

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