Title:

Analysis of the discontinuous Galerkin finite element method applied to a scalar nonlinear convectiondiffusion equation (English) 
Author:

Hozman, Jiří 
Author:

Dolejší, Vít 
Language:

English 
Journal:

Programs and Algorithms of Numerical Mathematics 
Volume:

Proceedings of Seminar. Dolní Maxov, June 16, 2008 
Issue:

2008 
Year:


Pages:

97102 
. 
Category:

math 
. 
Summary:

We deal with a scalar nonstationary convectiondiffusion equation with nonlinear convective as well as diffusive terms which represents a model problem for the solution of the system of the compressible NavierStokes equations describing a motion of viscous compressible fluids. We present a discretization of this model equation by the discontinuous Galerkin finite element method. Moreover, under some assumptions on the nonlinear terms, domain partitions and the regularity of the exact solution, we introduce a priori error estimates in the $L^\infty(0,T; L^2(\Omega))$norm and
in the $L^2(0,T; H^1(\Omega))$seminorm. A sketch of the proof is presented. () 
MSC:

76xx 
idZBL:

Zbl 05802248 
. 
Date available:

20150908T11:34:43Z 
Last updated:

20151204 
Stable URL:

http://hdl.handle.net/10338.dmlcz/702862 
. 