Numerical studies of the damped Korteweg-de Vries system

• Autores: M. A. Rincon, F. S. Teixeira, I. F. Lopez
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 259, Nº 1, 2014, págs. 294-311
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.09.045
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• Resumen

  • 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.