Numerical Integration in the Discontinuous Galerkin Method for Nonlinear Convection-Diffusion Problems in 3D

V. Sobotíková ()
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V. Sobotíková: Czech Technical University Prague, Faculty of Electrical Engineering

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 347-354 from Springer

Abstract: Abstract In this paper the discontinuous Galerkin finite element method is used for the space-semidiscretization of a nonlinear nonstationary convection-diffusion problem in three dimensions. As in practical computations integrals appearing in the forms defining the approximate solution are evaluated with the use of quadrature formulae, the effect of numerical integration in the method is studied. An estimate of the error caused by the numerical integration is presented and it is shown which quadrature formulae guarantee preservation of the accuracy of the method with exact integration.

Keywords: Quadrature Formula; Discontinuous Galerkin Method; Galerkin Finite Element Method; Optimal Error Estimate; Exact Integration (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_41

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DOI: 10.1007/978-3-540-69777-0_41

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