Finite Element Approximation of the Cahn-Hilliard Equation with Degenerate Mobility

@article{Barrett1999FiniteEA,
  title={Finite Element Approximation of the Cahn-Hilliard Equation with Degenerate Mobility},
  author={John W. Barrett and James F. Blowey and Harald Garcke},
  journal={SIAM J. Numerical Analysis},
  year={1999},
  volume={37},
  pages={286-318}
}
We consider a fully practical nite element approximation of the Cahn-Hilliard equation with degenerate mobility @u @t = r:(b(u) r(?u + 0 (u))); where b() 0 is a diiusional mobility and () is a homogeneous free energy. In addition to showing well-posedness and stability bounds for our approximation, we prove convergence in one space dimension. Furthermore an iterative scheme for solving the resulting nonlinear discrete system is analysed. We also discuss how our approximation has to be modiied… CONTINUE READING

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