A fully discrete virtual element scheme for the Cahn-Hilliard equation in mixed form
From MaRDI portal
Publication:2698751
DOI10.1016/j.cpc.2019.106870OpenAlexW2970129409MaRDI QIDQ2698751
Zhengkang He, Xin Liu, Zhang-Xin Chen
Publication date: 25 April 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cpc.2019.106870
mixed formulationvirtual element methodessential propertiesCahn-Hilliard problemalgebraic implementation
Related Items
A C0 virtual element method for the biharmonic eigenvalue problem, Pressure-independent velocity error estimates for (Navier-)Stokes nonconforming virtual element discretization with divergence free, Unconditionally energy stable \(C^0\)-virtual element scheme for solving generalized Swift-Hohenberg equation, High-order interpolatory serendipity virtual element method for semilinear parabolic problems, Numerical analysis of energy stable weak Galerkin schemes for the Cahn-Hilliard equation, An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows, A virtual element method for overcoming locking phenomena in Biot’s consolidation model, A divergence-free reconstruction of the nonconforming virtual element method for the Stokes problem, A modified nonconforming virtual element with BDM-like reconstruction for the Navier-Stokes equations, A lowest-order virtual element method for the Helmholtz transmission eigenvalue problem, A local meshless method for transient nonlinear problems: preliminary investigation and application to phase-field models, \(C^1 \)-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration
Cites Work
- Equivalent projectors for virtual element methods
- Continuous finite element schemes for a phase field model in two-layer fluid Bénard-Marangoni convection computations
- A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver
- A gradient stable scheme for a phase field model for the moving contact line problem
- Efficient solvers of discontinuous Galerkin discretization for the Cahn-Hilliard equations
- The Fourier spectral method for the Cahn-Hilliard equation
- A numerical method for the ternary Cahn-Hilliard system with a degenerate mobility
- An efficient moving mesh spectral method for the phase-field model of two-phase flows
- A second order splitting method for the Cahn-Hilliard equation
- Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy
- Applications of semi-implicit Fourier-spectral method to phase field equations
- Computation of multiphase systems with phase field models.
- The virtual element method for discrete fracture network simulations
- On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
- A virtual element method for the Cahn-Hilliard problem in mixed form
- Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- A continuum approach to modelling cell-cell adhesion
- A nonconforming virtual element method for the Stokes problem on general meshes
- A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation
- Isogeometric analysis of the Cahn-Hilliard equation -- a convergence study
- A time-adaptive finite volume method for the Cahn-Hilliard and Kuramoto-Sivashinsky equations
- Local discontinuous Galerkin methods for the Cahn-Hilliard type equations
- A multigrid finite element solver for the Cahn-Hilliard equation
- A virtual element method for elastic and inelastic problems on polytope meshes
- The nonconforming virtual element method for the Navier-Stokes equations
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- A nonconforming finite element method for the Cahn-Hilliard equation
- Virtual Element Method for general second-order elliptic problems on polygonal meshes
- Analysis of Mixed Interior Penalty Discontinuous Galerkin Methods for the Cahn–Hilliard Equation and the Hele–Shaw Flow
- A Hybrid High-Order Method for the Cahn--Hilliard problem in Mixed Form
- A plane wave virtual element method for the Helmholtz problem
- The nonconforming virtual element method
- Virtual Elements for Linear Elasticity Problems
- Basic principles of mixed Virtual Element Methods
- Analysis of a Mixed Finite Element Method for a Cahn--Hilliard--Darcy--Stokes System
- Divergence free virtual elements for the stokes problem on polygonal meshes
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- Virtual element methods for parabolic problems on polygonal meshes
- A $C^1$ Virtual Element Method for the Cahn--Hilliard Equation with Polygonal Meshes
- Analysis of a Two-Scale Cahn–Hilliard Model for Binary Image Inpainting
- Inpainting of Binary Images Using the Cahn–Hilliard Equation
- GENERAL DIFFUSE-INTERFACE THEORIES AND AN APPROACH TO PREDICTIVE TUMOR GROWTH MODELING
- Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection
- Numerical Analysis of a Continuum Model of Phase Transition
- A multigrid algorithm for the p-version of the virtual element method
- Phase-Field Models for Multi-Component Fluid Flows
- Stability analysis for the virtual element method
- Ill‐conditioning in the virtual element method: Stabilizations and bases
- Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
- Conforming and nonconforming virtual element methods for elliptic problems
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility
- The Hitchhiker's Guide to the Virtual Element Method
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- The Virtual Element Method with curved edges
- A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
- The NonConforming Virtual Element Method for the Stokes Equations
- Finite Element Methods and Their Applications
- A discontinuous Galerkin method for the Cahn-Hilliard equation
- A stable and conservative finite difference scheme for the Cahn-Hilliard equation
- Unnamed Item