Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility
نویسندگان
چکیده
We consider the Cahn-Hilliard equation with a logarithmic free energy and non-degenerate concentration dependent mobility. In particular we prove that there exists a unique solution for sufficiently smooth initial data. Further, we prove an error bound for a fully practical piecewise linear finite element approximation in one and two space dimensions. Finally some numerical experiments are presented.
منابع مشابه
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عنوان ژورنال:
- Math. Comput.
دوره 68 شماره
صفحات -
تاریخ انتشار 1999