Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation
Snorre H. Christiansen, Claire Scheid (2011)
ESAIM: Mathematical Modelling and Numerical Analysis
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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.