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non-linear constraints

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Convergence of a constrained finite element discretization of the Maxwell Klein Gordon equation *
Snorre H. Christiansen, Claire Scheid
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 45 / Issue 4 / July 2011

Published online by Cambridge University Press:

21 February 2011, pp. 739-760

Print publication:

July 2011
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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.