Implicit-Explicit Runge-Kutta Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems

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

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 355-362 from Springer

Abstract: Abstract We deal with a numerical solution of a scalar nonstationary convection-diffusion equation with a nonlinear convection and a linear diffusion terms. We carry out the space semi-discretization with the aid of the nonsymmetric interior penalty Galerkin (NIPG) method and the time discretization by a combination of implicit-explicit Runge-Kutta method. The resulting scheme is unconditionally stable, has a high order of accuracy with respect to space and time coordinates and requires solutions of linear algebraic problems at each time step. We derive a priori error estimates in the L2-norm.

Keywords: Discontinuous Galerkin Method; Nonlinear Convection; Order Accurate Scheme; High Order Accurate Scheme; IMEX 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_42

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DOI: 10.1007/978-3-540-69777-0_42

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