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@article{Aymard:2019:10.1016/j.jcpx.2019.100010,
author = {Aymard, B and Vaes, U and Pradas, M and Kalliadasis, S},
doi = {10.1016/j.jcpx.2019.100010},
journal = {Journal of Computational Physics: X},
title = {A linear, second-order, energy stable, fully adaptive finite element method for phase-field modelling of wetting phenomena},
url = {http://dx.doi.org/10.1016/j.jcpx.2019.100010},
volume = {2},
year = {2019}
}

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TY  - JOUR
AB  - We propose a new numerical method to solve the Cahn-Hilliard equation coupled with non-linear wetting boundary conditions. We show that the method is mass-conservative and that the discrete solution satisfies a discrete energy law similar to the one satisfied by the exact solution. We perform several tests inspired by realistic situations to verify the accuracy and performance of the method: wetting of a chemically heterogeneous substrate in three dimensions, wetting-driven nucleation in a complex two-dimensional domain and three-dimensional diffusion through a porous medium.
AU  - Aymard,B
AU  - Vaes,U
AU  - Pradas,M
AU  - Kalliadasis,S
DO  - 10.1016/j.jcpx.2019.100010
PY  - 2019///
SN  - 2590-0552
TI  - A linear, second-order, energy stable, fully adaptive finite element method for phase-field modelling of wetting phenomena
T2  - Journal of Computational Physics: X
UR  - http://dx.doi.org/10.1016/j.jcpx.2019.100010
UR  - http://hdl.handle.net/10044/1/70344
VL  - 2
ER  -

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