Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility |
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| Authors: | John W Barrett James F Blowey |
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| Institution: | Department of Mathematics, Imperial College, London SW7 2BZ, U.K. ; Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, U.K. |
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| Abstract: | 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. |
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