Incomplete Interior Penalty Galerkin Method for a Nonlinear Convection-Diffusion Equation

V. Dolejší ()
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V. Dolejší: Charles University Prague, Faculty of Mathematics and Physics

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 457-464 from Springer

Abstract: Abstract We deal with a numerical solution of convection-diffusion problems with a nonlinear convection and a quasilinear diffusion. We employ the so-called incomplete interior penalty Galerkin (IIPG) method which is suitable for a discretization of quasilinear diffusive terms. We recall a priori hp error estimates in the L2-norm and the H1-seminorm. We present sets of numerical experiments where the experimental orders of convergence in dependence on the polynomial degree of approximation and the regularity of the exact solution are evaluated and discussed.

Keywords: Discontinuous Galerkin Method; Interior Penalty; Nonlinear Convection; Symmetric Interior Penalty; High Order Accurate Scheme (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_54

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DOI: 10.1007/978-3-540-69777-0_54

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