Convex Splitting Method for Strongly Anisotropic Solid-State Dewetting Problems in Two Dimensions
DOI10.4208/eajam.261021.120122zbMath1495.65164OpenAlexW4293413241MaRDI QIDQ5866604
Zhongyi Huang, Miaoyu Dai, Wei Zhu
Publication date: 22 September 2022
Published in: Unnamed Author (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.261021.120122
Thin films (74K35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Cites Work
- Unnamed Item
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Image segmentation using Euler's elastica as the regularization
- Augmented Lagrangian method for an Euler's elastica based segmentation model that promotes convex contours
- Filtering, segmentation and depth
- Interface evolution in three dimensions with curvature-dependent energy and surface diffusion: Interface-controlled evolution, phase transitions, epitaxial growth of elastic films
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- On large time-stepping methods for the Cahn-Hilliard equation
- Anisotropic capillary surfaces with wetting energy
- Motion by intrinsic Laplacian of curvature
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Semi-implicit level set methods for curvature and surface diffusion motion
- Equilibrium shapes of crystals attached to walls.
- A parametric finite element method for solid-state dewetting problems with anisotropic surface energies
- The summertop construction: crystals in a corner.
- A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis
- A variational model for capturing illusory contours using curvature
- Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
- A tangent-plane marker-particle method for the computation of three-dimensional solid surfaces evolving by surface diffusion on a substrate
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions
- A new phase-field model for strongly anisotropic systems
- Finite Element Approximation of a Degenerate Allen--Cahn/Cahn--Hilliard System
- Stable Equilibria of Anisotropic Particles on Substrates: A Generalized Winterbottom Construction
- An unconditionally stable uncoupled scheme for a triphasic Cahn–Hilliard/Navier–Stokes model
- A Semi-implicit Gradient Augmented Level Set Method
- Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
- Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation
- An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy<sup>†</sup>
- An Adaptive Threshold Dynamics Method for Three-Dimensional Wetting on Rough Surfaces
- A Parametric Finite Element Method for Solid-State Dewetting Problems in Three Dimensions
- Segmentation by Elastica Energy with L<sup>1</sup> and L<sup>2</sup> Curvatures: a Performance Comparison
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