Finite element discretization of the Kuramoto-Sivashinsky equation
نویسندگان
چکیده
منابع مشابه
Finite Difference Discretization of the Kuramoto–sivashinsky Equation
We analyze a Crank–Nicolson–type finite difference scheme for the Kuramoto– Sivashinsky equation in one space dimension with periodic boundary conditions. We discuss linearizations of the scheme and derive second–order error estimates.
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Résumé. Nous considérons l’équation de Kuramoto–Sivashinskymunie de conditions aux limites périodiques et d’une donnée initiale. Nous l’approchons en utilisant une méthode d’éléments finis de type Galerkin pour la discrétisation en espace, et un schéma de Runge–Kutta implicite pour la discrétisation en temps. Nous obtenons des estimations d’erreur optimales et discutons de la linéarisation de c...
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In this paper we obtain exact solutions of the generalized Kuramoto-Sivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems. The methods used to determine the exact solutions of the underlying equation are the Lie group analysis and the simplest equation method. The solutions obtained are then plotted.
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This work focuses on linear finite-dimensional output feedback control of the Kuramoto–Sivashinsky equation (KSE) with periodic boundary conditions. Under the assumption that the linearization of the KSE around the zero solution is controllable and observable, linear finite-dimensional output feedback controllers are synthesized that achieve stabilization of the zero solution, for any value of ...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1994
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-29-1-155-163