Unconditionally stable schemes for equations of thin film epitaxy
By Cheng Wang, Xiaoming Wang, Steven M. Wise. 2010
199 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/a8216c32820603edb586ec5155303477df3c689a
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In Computational Mechanics
In Computational Theory and Mathematics
In Materials Chemistry
Citations in the corpus
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method (2017, methodology): “All of these numerical solutions present similar and consistent features to those obtained in [37] using the convex splitting approach.”
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation (2018, background): “See the related works for the phase field crystal (PFC) equation and the modified phase field crystal (MPFC) equation [3, 4, 28, 35, 37]; epitaxial thin film growth models [8, 10, 32, 34]; non-local Cahn-Hilliard-type models [22, 23]; the CHHS and related models [9, 13, 20, 36]; et cetera.”
- A MIXED DISCONTINUOUS GALERKIN, CONVEX SPLITTING SCHEME FOR A MODIFIED CAHN-HILLIARD EQUATION AND AN EFFICIENT NONLINEAR MULTIGRID SOLVER (2013, background): “There are two important properties that are automatically inherited in the convex splitting framework, unconditional energy stability, and unconditional unique solvability [16, 18, 28, 29, 32, 33].”
- An unconditionally energy-stable method for the phase field crystal equation (2012, unknown): “Thermodynamically consistent methods have been previously studied in the context of solid [3,39,44,45] and fluidmechanics [30,36,47,48], but remain less investigated for phase-field equations (significant works on this topic include [16,20,22,24,27,31,51–53]).”
- Two‐phase flows in karstic geometry (2014, methodology): “Applications to the Cahn-Hilliard-Darcy, Cahn-Hilliard-Stokes, and models of thin film epitaxial growth can be found at [55, 59, 86] among others.”
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy (2012, methodology): “Following the general convex-splitting idea (see, for instance, [12, 30]), we assume that it possesses a convex-concave splitting with a quadratic concave term, i.”