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Effect of numerical integration in the DGFEM for nonlinear convection‐diffusion problems |
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| Authors: | Veronika Sobotíková Miloslav Feistauer |
| Institution: | 1. Faculty of Electrical Engineering, Czech Technical University Prague, Czech Republic;2. Faculty of Mathematics and Physics, Charles University Prague, Czech RepublicFaculty of Mathematics and Physics, Charles University Prague, Sokolovska '83 186 75, Praha 8, Czech Republic |
| 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 |
| Keywords: | discontinuous Galerkin finite element method error estimates interior and boundary penalty method of lines nonlinear convection‐diffusion equation numerical integration quadrature formulae symmetric and nonsymmetric formulation of diffusion terms truncantion error |