Resumen de Numerical studies of the damped Korteweg-de Vries system

M. A. Rincon, F. S. Teixeira, I. F. Lopez

• We present a numerical analysis of the Korteweg�de Vries (KdV) system in a bounded interval under the effect of a localized damping mechanism. For the sake of completeness, we include the proofs of existence and uniqueness of the weak solution by means of the Faedo�Galerkin method. Error estimates of finite element approximations, for both semi-discrete and fully discrete schemes in the energy norm are provided and numerical experiments are performed.