## Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method

- Steven M. Wise, Junseok Kim, John S. Lowengrub
- J. Comput. Physics
- 2007

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@article{Rtz2006SurfaceEO, title={Surface evolution of elastically stressed films under deposition by a diffuse interface model}, author={Andreas R{\"a}tz and Angel Ribalta and Axel Voigt}, journal={J. Comput. Physics}, year={2006}, volume={214}, pages={187-208} }

- Published 2006 in J. Comput. Physics
DOI:10.1016/j.jcp.2005.09.013

We consider the heteroepitaxial growth of thin films by numerical simulations within a diffuse interface model. The model is applicable to describe the self-organization of nanostructures. The influence of strain, surface energies and kinetics on the surface evolution is considered. A matched asymptotic analysis shows the formal convergence of an anisotropic viscous Cahn–Hilliard model to a general surface evolution equation. The system is solved by adaptive finite elements in three dimensions… CONTINUE READING