Space-Time DG Method for Nonstationary Convection–Diffusion Problems

Miloslav Feistauer (), Václav Kučera (), Karel Najzar () and Jaroslava Prokopová ()
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Miloslav Feistauer: Faculty of Mathematics and Physics, Charles University Prague
Václav Kučera: Faculty of Mathematics and Physics, Charles University Prague
Karel Najzar: Faculty of Mathematics and Physics, Charles University Prague
Jaroslava Prokopová: Faculty of Mathematics and Physics, Charles University Prague

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 325-333 from Springer

Abstract: Abstract The paper is concerned with the theory of the discontinuous Galerkin finite element method for the space-time discretization of a nonlinear nonstationary convection–diffusion initial-boundary value problem. The discontinuous Galerkin method is applied separately in space and time using, in general, different space grids on different time levels and different polynomial degrees p and q in space and time dicretization. The analysis of error estimates is described.

Keywords: Diffusion Problem; Discontinuous Galerkin Method; Galerkin Finite Element Method; Galerkin Discretization; Discontinuous Galerkin Scheme (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_34

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DOI: 10.1007/978-3-642-11795-4_34

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