\(C^1 \)-VEM for some variants of the Cahn-Hilliard equation: a numerical exploration
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Publication:2090466
DOI10.3934/dcdss.2022038zbMath1497.65160arXiv2112.15405OpenAlexW4214885624MaRDI QIDQ2090466
Simone Scacchi, Giuseppe Vacca, Marco Verani, Paola Francesca Antonietti
Publication date: 25 October 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.15405
Cahn-Hilliard equationparallel computingpolytopal meshesvirtual element methodfourth-order problemsimpainting
Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Convective nonlocal Cahn-Hilliard equations with reaction terms
- Equivalent projectors for virtual element methods
- A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver
- Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow
- Virtual element methods for plate bending problems
- Virtual element method for fourth order problems: \(L^2\)-estimates
- A phase-field description of dynamic brittle fracture
- Error analysis of a mixed finite element method for the Cahn-Hilliard equation
- Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D
- Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
- A family of 3D continuously differentiable finite elements on tetrahedral grids
- On the Cahn-Hilliard equation
- \textit{BoomerAMG}: A parallel algebraic multigrid solver and preconditioner
- High-order virtual element method on polyhedral meshes
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
- Topology optimization of multiple anisotropic materials, with application to self-assembling diblock copolymers
- Virtual element for the buckling problem of Kirchhoff-Love plates
- A \(C^1\) virtual element method on polyhedral meshes
- The conforming virtual element method for polyharmonic problems
- Virtual enriching operators
- Some estimates for virtual element methods
- A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems
- Cahn-Hilliard-Navier-Stokes systems with moving contact lines
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- A fully discrete virtual element scheme for the Cahn-Hilliard equation in mixed form
- A Hybrid High-Order Method for the Cahn--Hilliard problem in Mixed Form
- Energy stable and convergent finite element schemes for the modified phase field crystal equation
- Numerical simulation of a thermodynamically consistent four-species tumor growth model
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- A Cahn-Hilliard-type equation with application to tumor growth dynamics
- Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows
- 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
- Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection
- Numerical Studies of the Cahn-Hilliard Equation for Phase Separation
- A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation
- Virtual element methods on meshes with small edges or faces
- On a diffuse interface model of tumour growth
- Stability analysis for the virtual element method
- A virtual element method for the vibration problem of Kirchhoff plates
- A virtual element method for the transmission eigenvalue problem
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- A virtual element method for the von Kármán equations
- A review on arbitrarily regular conforming virtual element methods for second- and higher-order elliptic partial differential equations
- The Hitchhiker's Guide to the Virtual Element Method
- The Cahn–Hilliard Equation: Recent Advances and Applications
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation
- Residuala posteriorierror estimation for the Virtual Element Method for elliptic problems
- A virtual element method with arbitrary regularity
- The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids
- A discontinuous Galerkin method for the Cahn-Hilliard equation
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