We propose a structure-preserving parametric finite element method (SP-PFEM) for
discretizing the surface diffusion of a closed curve in two dimensions (2D) or a surface in …

Semiconductor heteroepitaxy involves a wealth of qualitatively different, competing
phenomena. Examples include three-dimensional island formation, injection of dislocations …

We extend the symmetrized parametric finite method for the evolution of a closed curve
under anisotropic surface diffusion in two dimensions, recently proposed by us [W. Bao, W …

We propose and analyze volume-preserving parametric finite element methods for surface
diffusion, conserved mean curvature flow and an intermediate evolution law in an …

We deal with a long-standing problem about how to design an energy-stable numerical
scheme for solving the motion of a closed curve under anisotropic surface diffusion with a …

We propose an efficient and accurate parametric finite element method (PFEM) for solving
sharp-interface continuum models for solid-state dewetting of thin films with anisotropic …

We propose a parametric finite element method (PFEM) for efficiently solving the
morphological evolution of solid-state dewetting of thin films on a flat rigid substrate in three …

We propose an accurate, area/mass-conservative and energy-dissipative parametric finite
element method for solving the sharp-interface continuum model of solid-state dewetting …

A fully discrete finite element method, based on a new weak formulation and a new time-
step** scheme, is proposed for the surface diffusion flow of closed curves in the two …

We propose an energy-stable parametric finite element method for simulating solid-state
dewetting of thin films in two dimensions via a sharp-interface model, which is governed by …