Geodesic
Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations
Ahmed, Naveed1 ; Matthies, Gunar2
1 Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Mohrenstr. 39, 10117 Berlin, Germany.
2 Technische Universität Dresden, Institut für Numerische Mathematik, 01062 Dresden, Germany.
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 49 (2015) no. 5, pp. 1429-1450

Voir la notice de l'article provenant de la source Numdam

We present the analysis for the higher order continuous Galerkin−Petrov (cGP) time discretization schemes in combination with the one-level local projection stabilization in space applied to time-dependent convection-diffusion-reaction problems. Optimal a priori error estimates will be proved. Numerical studies support the theoretical results. Furthermore, a numerical comparison between continuous Galerkin−Petrov and discontinuous Galerkin time discretization schemes will be given.

Reçu le :
DOI : 10.1051/m2an/2015019
Classification : 65M12, 65M15, 65M60
Keywords: Transient convection-diffusion-reaction problem, local projection stabilization, continuous Galerkin−Petrov method, discontinuous Galerkin method

Ahmed, Naveed 1 ; Matthies, Gunar 2

1 Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Mohrenstr. 39, 10117 Berlin, Germany.
2 Technische Universität Dresden, Institut für Numerische Mathematik, 01062 Dresden, Germany. 
@article{M2AN_2015__49_5_1429_0,
     author = {Ahmed, Naveed and Matthies, Gunar},
     title = {Higher order continuous {Galerkin\ensuremath{-}Petrov} time stepping schemes for transient convection-diffusion-reaction equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1429--1450},
     publisher = {EDP-Sciences},
     volume = {49},
     number = {5},
     year = {2015},
     doi = {10.1051/m2an/2015019},
     mrnumber = {3423230},
     zbl = {1342.65184},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2015019/}
}
TY  - JOUR
AU  - Ahmed, Naveed
AU  - Matthies, Gunar
TI  - Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2015
SP  - 1429
EP  - 1450
VL  - 49
IS  - 5
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2015019/
DO  - 10.1051/m2an/2015019
LA  - en
ID  - M2AN_2015__49_5_1429_0
ER  - 
%0 Journal Article
%A Ahmed, Naveed
%A Matthies, Gunar
%T Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2015
%P 1429-1450
%V 49
%N 5
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2015019/
%R 10.1051/m2an/2015019
%G en
%F M2AN_2015__49_5_1429_0
Ahmed, Naveed; Matthies, Gunar. Higher order continuous Galerkin−Petrov time stepping schemes for transient convection-diffusion-reaction equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 49 (2015) no. 5, pp. 1429-1450. doi: 10.1051/m2an/2015019

Cité par Sources :