Higher Order Semi-Implicit Discontinuous Galerkin Finite Element Schemes for Nonlinear Convection-Diffusion Problems

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

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 432-439 from Springer

Abstract: Abstract We deal with the numerical solution of a scalar nonstationary nonlinear convection-diffusion equation. We present a scheme which uses a discontinuous Galerkin finite element method for a space semi-discretization and the resulting system of ordinary differential equations is discretized by backward difference formulae. The linear terms are treated implicitly whereas the nonlinear ones by a higher order explicit extrapolation which preserves the accuracy of the schemes and leads to a system of linear algebraic equations at each time step. Thenumerical examples presented verify expected orders of convergence.

Keywords: Stokes Equation; Linear Algebraic Equation; Discontinuous Galerkin Method; Constant Time Step; Discontinuous Galerkin Finite Element Method (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_38

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DOI: 10.1007/978-3-540-34288-5_38

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