Geodesic
Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 4, pp. 739-760

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

As an example of a simple constrained geometric non-linear wave equation, we study a numerical approximation of the Maxwell Klein Gordon equation. We consider an existing constraint preserving semi-discrete scheme based on finite elements and prove its convergence in space dimension 2 for initial data of finite energy.

DOI : 10.1051/m2an/2010100
Classification : 65M60, 78M10
Keywords: waves, Maxwell Klein Gordon, non-linear constraints, finite elements, convergence analysis 
@article{M2AN_2011__45_4_739_0,
     author = {Christiansen, Snorre H. and Scheid, Claire},
     title = {Convergence of a constrained finite element discretization of the {Maxwell} {Klein} {Gordon} equation},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {739--760},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {4},
     year = {2011},
     doi = {10.1051/m2an/2010100},
     mrnumber = {2804657},
     zbl = {1282.78036},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010100/}
}
TY  - JOUR
AU  - Christiansen, Snorre H.
AU  - Scheid, Claire
TI  - Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2011
SP  - 739
EP  - 760
VL  - 45
IS  - 4
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010100/
DO  - 10.1051/m2an/2010100
LA  - en
ID  - M2AN_2011__45_4_739_0
ER  - 
%0 Journal Article
%A Christiansen, Snorre H.
%A Scheid, Claire
%T Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2011
%P 739-760
%V 45
%N 4
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010100/
%R 10.1051/m2an/2010100
%G en
%F M2AN_2011__45_4_739_0
Christiansen, Snorre H.; Scheid, Claire. Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 45 (2011) no. 4, pp. 739-760. doi: 10.1051/m2an/2010100

Cité par Sources :