@Article{CiCP-5-2-4,
author = {},
title = {A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {2-4},
pages = {582--599},
abstract = {<p style="text-align: justify;">In recent years, Fourier spectral methods have emerged as competitive numerical methods for large-scale phase field simulations of microstructures in computational materials sciences. To further improve their effectiveness, we recently developed
a new adaptive Fourier-spectral semi-implicit method (AFSIM) for solving the phase
field equation by combining an adaptive moving mesh method and the semi-implicit
Fourier spectral algorithm. In this paper, we present the application of AFSIM to the
Cahn-Hilliard equation with inhomogeneous, anisotropic elasticity. Numerical implementations and test examples in both two and three dimensions are considered with a
particular illustration using the well-studied example of mis-fitting particles in a solid
as they approach to their equilibrium shapes. It is shown that significant savings in
memory and computational time is achieved while accurate solutions are preserved.</p>},
issn = {1991-7120},
doi = {https://doi.org/2009-CiCP-7751},
url = {https://global-sci.com/article/81103/a-fourier-spectral-moving-mesh-method-for-the-cahn-hilliard-equation-with-elasticity}
}