We present a new phase-field model for strongly anisotropic crystal and epitaxial growth
using regularized, anisotropic Cahn–Hilliard-type equations. Such problems arise during the …

We describe how modular software design and well proven object oriented design patterns
can help to implement a flexible software package for the efficient solution of partial …

We present efficient, second-order accurate and adaptive finite-difference methods to solve
the regularized, strongly anisotropic Cahn–Hilliard equation in 2D and 3D. When the surface …

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 …

Geometrical evolution laws are widely used in continuum modeling of surface and interface
motion in materials science. In this article, we first give a brief review of various kinds of …

An intrinsic feature of nearly all internal interfaces in crystalline systems (homo-and hetero-
phase) is the presence of disconnections, namely topological line defects constrained to the …

A multi phase-field model is developed to investigate the effect of interface energy between
a film and substrate on the morphological evolution of the film during self-assembled …

At equilibrium, the shape of a strongly anisotropic crystal exhibits corners when for some
orientations the surface stiffness is negative. In the sharp-interface problem, the surface free …

The morphology of the solid-vapor interface of a nanoscale thin crystalline film is influenced
by many factors including surface diffusion, attachment-detachment, deposition, and …

The thermodynamics of strongly anisotropic crystalline surfaces is analogous to that of a
binary mixture exhibiting phase separation. On a metastable planar surface, formation of …