@article {FEDELI2017247,
	title = {Computer simulations of phase field drops on super-hydrophobic surfaces},
	journal = {Journal of Computational Physics},
	volume = {344},
	year = {2017},
	pages = {247 - 259},
	abstract = {<p>We present a novel quasi-Newton continuation procedure that efficiently solves the system of nonlinear equations arising from the discretization of a phase field model for wetting phenomena. We perform a comparative numerical analysis that shows the improved speed of convergence gained with respect to other numerical schemes. Moreover, we discuss the conditions that, on a theoretical level, guarantee the convergence of this method. At each iterative step, a suitable continuation procedure develops and passes to the nonlinear solver an accurate initial guess. Discretization performs through cell-centered finite differences. The resulting system of equations is solved on a composite grid that uses dynamic mesh refinement and multi-grid techniques. The final code achieves three-dimensional, realistic computer experiments comparable to those produced in laboratory settings. This code offers not only new insights into the phenomenology of super-hydrophobicity, but also serves as a reliable predictive tool for the study of hydrophobic surfaces.</p>},
	keywords = {Multigrid, Phase field, Quasi-Newton, Super-hydrophobicity},
	issn = {0021-9991},
	doi = {https://doi.org/10.1016/j.jcp.2017.04.068},
	url = {http://www.sciencedirect.com/science/article/pii/S002199911730356X},
	author = {Livio Fedeli}
}
