TY - JOUR
T1 - Convexity Splitting in a Phase Field Model for Surface Diffusion
AU - Backofen , Rainer
AU - M. Wise , Steven
AU - Salvalaglio , Marco
AU - Voigt , Axel
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 192
EP - 209
PY - 2018
DA - 2018/10
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/12799.html
KW - Convexity splitting, Rosenbrock time discretization, surface diffusion, solid-state dewetting.
AB - <p style="text-align: justify;">Convexity splitting like schemes with improved accuracy are proposed for a phase
field model for surface diffusion. The schemes are developed to enable large scale simulations in
three spatial dimensions describing experimentally observed solid state dewetting phenomena. We
carefully elaborate the loss in accuracy associated with large time steps in such schemes and show
the existence of a maximal numerical timestep to achieve a prescribed accuracy. We demonstrate
the increase of this maximal numerical time step by at least one order of magnitude using a
Rosenbrock method. This convexity splitting scheme with improved accuracy is used to study the
effect of contact angle on solid state dewetting phenomena.</p>