Stability analysis of the space-time discontinuous Galerkin method for nonstationary nonlinear convection-diffusion problems

Balázsová, Monika, et al. "Stability analysis of the space-time discontinuous Galerkin method for nonstationary nonlinear convection-diffusion problems." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 9-16. <http://eudml.org/doc/269936>.

@inProceedings{Balázsová2015,
abstract = {This paper is concerned with the stability analysis of the space-time discontinuous Galerkin method for the solution of nonstationary, nonlinear, convection-diffusion problems. In the formulation of the numerical scheme we use the nonsymmetric, symmetric and incomplete versions of the discretization of diffusion terms and interior and boundary penalty. Then error estimates are briefly characterized. The main attention is paid to the investigation of unconditional stability of the method. Theoretical results are demonstrated by a numerical example.},
author = {Balázsová, Monika, Feistauer, Miloslav, Hadrava, Martin, Kosík, Adam},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {error estimates; unconditional stability; interior penalty; boundary penalty},
location = {Prague},
pages = {9-16},
publisher = {Institute of Mathematics AS CR},
title = {Stability analysis of the space-time discontinuous Galerkin method for nonstationary nonlinear convection-diffusion problems},
url = {http://eudml.org/doc/269936},
year = {2015},
}

TY - CLSWK
AU - Balázsová, Monika
AU - Feistauer, Miloslav
AU - Hadrava, Martin
AU - Kosík, Adam
TI - Stability analysis of the space-time discontinuous Galerkin method for nonstationary nonlinear convection-diffusion problems
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2015
CY - Prague
PB - Institute of Mathematics AS CR
SP - 9
EP - 16
AB - This paper is concerned with the stability analysis of the space-time discontinuous Galerkin method for the solution of nonstationary, nonlinear, convection-diffusion problems. In the formulation of the numerical scheme we use the nonsymmetric, symmetric and incomplete versions of the discretization of diffusion terms and interior and boundary penalty. Then error estimates are briefly characterized. The main attention is paid to the investigation of unconditional stability of the method. Theoretical results are demonstrated by a numerical example.
KW - error estimates; unconditional stability; interior penalty; boundary penalty
UR - http://eudml.org/doc/269936
ER -