On fully discrete Galerkin approximations for the Cahn‐Hilliard equation

Standard Galerkin approximations, using smooth splines to solutions of the nonlinear evolutionary Cahn‐Hilliard equation are analysed. The existence, uniqueness and convergence of the fully discrete Crank‐Nicolson scheme are discussed. At last a linearized Galerkin approximation is presented, which...

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Bibliographic Details
Main Author: K. Omrani
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2004-12-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9741