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math.NA2019
Doubly Degenerate Diffuse Interface Models of Surface Diffusion
Marco Salvalaglio, Axel Voigt, Steven M. Wise
We discuss two doubly degenerate Cahn-Hilliard (DDCH) models for isotropic surface diffusion. Degeneracy is introduced in both the mobility function and a restriction function asso…
math.NA2019
An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
Kelong Cheng, Cheng Wang, Steven M. Wise
In this paper we propose and analyze an energy stable numerical scheme for the square phase field crystal (SPFC) equation, a gradient flow modeling crystal dynamics at the atomic s…