A diffuse-interface approach for solid-state dewetting with anisotropic surface energies
From MaRDI portal
Publication:2688952
DOI10.1007/s00332-023-09889-yOpenAlexW4320490510MaRDI QIDQ2688952
Quan Zhao, Robert Nürnberg, Patrik Knopf, Harald Garcke
Publication date: 6 March 2023
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.01698
finite element methodweak solutionsCahn-Hilliard equationanisotropysharp-interface limitsolid-state dewetting
Variational inequalities (49J40) Anisotropy in solid mechanics (74E10) Degenerate parabolic equations (35K65) Asymptotic expansions of solutions to PDEs (35C20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
Related Items (2)
A regularized model for wetting/dewetting problems: positivity and asymptotic analysis ⋮ The anisotropic Cahn-Hilliard equation: regularity theory and strict separation properties
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear functional analysis. An application-oriented introduction. Translated from the 6th German edition by Robert Nürnberg
- Finite element approximation of a three dimensional phase field model for void electromigration
- On the existence of nonnegative continuous solutions of the Cahn-Hilliard equation
- Anisotropic motion by mean curvature in the context of Finsler geometry
- Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM
- Numerical simulation of anisotropic surface diffusion with curvature-dependent energy
- Modeling and numerical simulations of dendritic crystal growth
- Convergence of the Cahn-Hilliard equation to the Hele-Shaw model
- Linking anisotropic sharp and diffuse surface motion laws via gradient flows
- Sharp-interface approach for simulating solid-state dewetting in two dimensions: A Cahn-hoffman \(\boldsymbol{\xi}\)-vector formulation
- Motion of elastic thin films by anisotropic surface diffusion with curvature regularization
- Existence of solutions to an anisotropic degenerate Cahn-Hilliard-type equation
- A variational formulation of anisotropic geometric evolution equations in higher dimensions
- Surface evolution of elastically stressed films under deposition by a diffuse interface model
- Sharp-Interface Limits of the Cahn--Hilliard Equation with Degenerate Mobility
- Time discretizations of anisotropic Allen-Cahn equations
- THERMODYNAMICALLY CONSISTENT, FRAME INDIFFERENT DIFFUSE INTERFACE MODELS FOR INCOMPRESSIBLE TWO-PHASE FLOWS WITH DIFFERENT DENSITIES
- Stable phase field approximations of anisotropic solidification
- Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering
- Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition
- Sharp-Interface Model for Simulating Solid-State Dewetting in Three Dimensions
- Front migration in the nonlinear Cahn-Hilliard equation
- Phase-field theory of edges in an anisotropic crystal
- Numerical approximation of anisotropic geometric evolution equations in the plane
- Inpainting of Binary Images Using the Cahn–Hilliard Equation
- A new phase-field model for strongly anisotropic systems
- Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen–Cahn equation
- The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
- Contact-line dynamics of a diffuse fluid interface
- Convexity splitting in a phase field model for surface diffusion
- Finite Element Approximation of a Phase Field Model for Void Electromigration
- A ξ-vector formulation of anisotropic phase-field models: 3D asymptotics
- The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature
- On the Cahn–Hilliard Equation with Degenerate Mobility
- An energy-stable parametric finite element method for simulating solid-state dewetting
- An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy<sup>†</sup>
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Coarsening Mechanism for Systems Governed by the Cahn--Hilliard Equation with Degenerate Diffusion Mobility
- An anisotropic phase-field model for solid-state dewetting and its sharp-interface limit
- On the stable discretization of strongly anisotropic phase field models with applications to crystal growth
- Algorithm 832
- The limit of the anisotropic double-obstacle Allen–Cahn equation
- A singular limit for a system of degenerate Cahn-Hilliard equations
- Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies
- Weak solutions for the Cahn-Hilliard equation with degenerate mobility
- A structure‐preserving finite element approximation of surface diffusion for curve networks and surface clusters
This page was built for publication: A diffuse-interface approach for solid-state dewetting with anisotropic surface energies
