166 citations · 770 across the 33 of their papers we have counts for
37 papers
A uniquely solvable and positivity-preserving finite difference scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition
Yunzhuo Guo, Cheng Wang, Steven M. Wise +1
In this paper we propose and analyze a finite difference numerical scheme for the Flory-Huggins-Cahn-Hilliard equation with dynamical boundary condition. The singular logarithmic p…
A Nonnegative Weak Solution to the Phase Field Crystal Model with Degenerate Mobility
Toai Luong, Steve Wise
Phase field crystal is a model used to describe the behavior of crystalline materials at the mesoscale. In this study, we investigate the well-posedness of a phase field crystal eq…
Convergence Analysis of a Preconditioned Steepest Descent Solver for the Cahn-Hilliard Equation with Logarithmic Potential
Amanda E. Diegel, Cheng Wang, Steven M. Wise
In this paper, we provide a theoretical analysis for a preconditioned steepest descent (PSD) iterative solver that improves the computational time of a finite difference numerical…
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential
Yunzhuo Guo, Cheng Wang, Steven M. Wise +1
A finite difference numerical scheme is proposed and analyzed for the Cahn-Hilliard-Stokes system with Flory-Huggins energy functional. A convex splitting is applied to the chemica…
Gamma Convergence for the de Gennes-Cahn-Hilliard energy
Shibin Dai, Joseph Renzi, Steven M. Wise
The degenerate de Gennes-Cahn-Hilliard (dGCH) equation is a model for phase separation which may more closely approximate surface diffusion than others in the limit when the thickn…
Improved time integration for phase-field crystal models of solidification
Maik Punke, Steven M. Wise, Axel Voigt +1
We optimize a numerical time-stabilization routine for the phase-field crystal (PFC) models of solidification. By numerical experiments, we showcase that our approach can improve t…