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 Cet article a éte moissonné depuis la source Numdam

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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 
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     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},
     year = {2011},
     publisher = {EDP-Sciences},
     volume = {45},
     number = {4},
     doi = {10.1051/m2an/2010100},
     mrnumber = {2804657},
     zbl = {1282.78036},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2010100/}
}
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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

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