16 citations · 52 across the 14 of their papers we have counts for
17 papers
A Phase-Field Method for Curvature Flow of Networks with Triple Junction Drag
Yuchuan Yang, Selim Esedoglu
We develop a new phase-field (diffuse interface) approximation of multiphase curvature motion with triple junction drag - an important sharp interface model for the evolution of mi…
Curvature Flow of Networks with Triple Junction Drag
Yuchuan Yang, Selim Esedoglu
We consider a PDE system that describes curvature motion of networks with a dynamic boundary condition known as triple junction drag. This model arises in the study of grain bounda…
Median Filters for Anisotropic Wetting / Dewetting Problems
Jiajia Guo, Selim Esedoglu
We present new level set methods for multiphase, anisotropic (weighted) motion by mean curvature of networks, focusing on wetting-dewetting problems where one out of three phases i…
On Median Filters for Motion by Mean Curvature
Selim Esedoglu, Jiajia Guo, David Li
The median filter scheme is an elegant, monotone discretization of the level set formulation of motion by mean curvature. It turns out to evolve every level set of the initial cond…
High Order Schemes for Gradient Flow with Respect to a Metric
Saem Han, Selim Esedoglu, Krishna Garikipati
New criteria for energy stability of multi-step, multi-stage, and mixed schemes are introduced in the context of evolution equations that arise as gradient flow with respect to a m…
A Monotone, Second Order Accurate Scheme for Curvature Motion
Selim Esedoglu, Jiajia Guo
We present a second order accurate in time numerical scheme for curve shortening flow in the plane that is unconditionally monotone. It is a variant of threshold dynamics, a class…