Analysis of Space-Time DGFEM for the Solution of Nonstationary Nonlinear Convection-Diffusion Problems

2014 ◽  
pp. 105-113
Author(s):  
Miloslav Feistauer ◽  
Monika Balázsová ◽  
Martin Hadrava ◽  
Adam Kosík
Keyword(s):  
Space Time ◽  
Nonlinear Convection ◽  
Convection Diffusion ◽  
Diffusion Problems

Analysis of space–time discontinuous Galerkin method for nonlinear convection–diffusion problems

2010 ◽  
Vol 117 (2) ◽  
pp. 251-288 ◽  
Author(s):  
Miloslav Feistauer ◽  
Václav Kučera ◽  
Karel Najzar ◽  
Jaroslava Prokopová
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Space Time ◽  
Nonlinear Convection ◽  
Convection Diffusion ◽  
Diffusion Problems

On the stability of the space–time discontinuous Galerkin method for the numerical solution of nonstationary nonlinear convection–diffusion problems

2015 ◽  
Vol 23 (3) ◽  
Author(s):  
Monika Balázsová ◽  
Miloslav Feistauer ◽  
Martin Hadrava ◽  
Adam Kosík
Keyword(s):  
Galerkin Method ◽  
Discontinuous Galerkin ◽  
Discontinuous Galerkin Method ◽  
Space Time ◽  
Nonlinear Convection ◽  
Convection Diffusion ◽  
The Subject ◽  
The Stability ◽  
Theoretical Results ◽  
Diffusion Problems

AbstractThe subject of this paper is the analysis of the space-time discontinuous Galerkin method for the solution of nonstationary, nonlinear, convection-diffusion problems. In the formulation of the numerical scheme, the nonsymmetric, symmetric and incomplete versions of the discretization of diffusion terms and interior and boundary penalty are used. Then error estimates are briefly characterized. The main attention is paid to the investigation of unconditional stability of the method. An important tool is the concept of the discrete characteristic function. Theoretical results are accompanied by numerical experiments.

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