Geodesic
Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 39 (2005) no. 6, pp. 1177-1202

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

We present the convergence analysis of locally divergence-free discontinuous Galerkin methods for the induction equations which appear in the ideal magnetohydrodynamic system. When we use a second order Runge Kutta time discretization, under the CFL condition Δt∼h 4/3 , we obtain error estimates in L 2 of order 𝒪(Δt 2 +h m+1/2 ) where m is the degree of the local polynomials.

DOI : 10.1051/m2an:2005051
Classification : 76W05, 65J10
Keywords: magnetohydrodynamics, discontinuous-Galerkin methods, convergence analysis 
@article{M2AN_2005__39_6_1177_0,
     author = {Besse, Nicolas and Kr\"oner, Dietmar},
     title = {Convergence of locally divergence-free {discontinuous-Galerkin} methods for the induction equations of the {2D-MHD} system},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1177--1202},
     publisher = {EDP-Sciences},
     volume = {39},
     number = {6},
     year = {2005},
     doi = {10.1051/m2an:2005051},
     mrnumber = {2195909},
     zbl = {1084.76046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2005051/}
}
TY  - JOUR
AU  - Besse, Nicolas
AU  - Kröner, Dietmar
TI  - Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2005
SP  - 1177
EP  - 1202
VL  - 39
IS  - 6
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2005051/
DO  - 10.1051/m2an:2005051
LA  - en
ID  - M2AN_2005__39_6_1177_0
ER  - 
%0 Journal Article
%A Besse, Nicolas
%A Kröner, Dietmar
%T Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2005
%P 1177-1202
%V 39
%N 6
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2005051/
%R 10.1051/m2an:2005051
%G en
%F M2AN_2005__39_6_1177_0
Besse, Nicolas; Kröner, Dietmar. Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 39 (2005) no. 6, pp. 1177-1202. doi: 10.1051/m2an:2005051

Cité par Sources :