Efficient linear schemes for the nonlocal Cahn-Hilliard equation of phase field models
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Publication:6159536
DOI10.1016/j.cpc.2018.08.012MaRDI QIDQ6159536
Publication date: 5 May 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
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A high order operator splitting method based on spectral deferred correction for the nonlocal viscous Cahn-Hilliard equation, Stabilized finite element methods based on multiscale enrichment for Allen-Cahn and Cahn-Hilliard equations, Efficient, linear and fast numerical algorithm for the volume conserved nonlocal Allen-Cahn equation, Nonlocal operator method for the Cahn-Hilliard phase field model, Three decoupled, second-order accurate, and energy stable schemes for the conserved Allen-Cahn-type block copolymer (BCP) model, Energy stability of exponential time differencing schemes for the nonlocal Cahn‐Hilliard equation, The fast scalar auxiliary variable approach with unconditional energy stability for nonlocal Cahn–Hilliard equation, Fully discrete, decoupled and energy-stable Fourier-spectral numerical scheme for the nonlocal Cahn-Hilliard equation coupled with Navier-Stokes/Darcy flow regime of two-phase incompressible flows, The numerical solutions for the energy-dissipative and mass-conservative Allen-Cahn equation, A second order accurate SAV numerical method for the nonlocal ternary conservative Allen-Cahn model, Energy dissipation and maximum bound principle preserving scheme for solving a nonlocal ternary Allen-Cahn model, Energy-decreasing second order exponential time differencing Runge-Kutta methods for nonlocal Cahn-Hilliard equation, Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method, Local discontinuous Galerkin methods with implicit-explicit multistep time-marching for solving the nonlinear Cahn-Hilliard equation, First- and second-order unconditionally stable direct discretization methods for multi-component Cahn-Hilliard system on surfaces, A stable second-order BDF scheme for the three-dimensional Cahn-Hilliard-Hele-Shaw system, Numerical approximations and error analysis of the Cahn-Hilliard equation with reaction rate dependent dynamic boundary conditions, A second order unconditionally stable scheme for the modified phase field crystal model with elastic interaction and stochastic noise effect, Arbitrarily high-order energy stable \(s\)-stage RK-IEQ scheme for the nonlocal Cahn-Hilliard equation, The IEQ and SAV approaches and their extensions for a class of highly nonlinear gradient flow systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Superconvergence and recovery type a posteriori error estimation for hybrid stress finite element method
- A priori error estimates of the dtn-FEM for the transmission problem in acoustics
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- A convergent convex splitting scheme for the periodic nonlocal Cahn-Hilliard equation
- Long-time integration methods for mesoscopic models of pattern-forming systems
- Unconditionally stable finite difference, nonlinear multigrid simulation of the Cahn-Hilliard-Hele-Shaw system of equations
- Global existence of weak solutions to a nonlocal Cahn-Hilliard-Navier-Stokes system
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- A semi-implicit spectral method for stochastic nonlocal phase-field models
- Adding adhesion to a chemical signaling model for somite formation
- Efficient solution of a partial integro-differential equation in finance
- An efficient moving mesh spectral method for the phase-field model of two-phase flows
- A nonlocal model for the exchange energy in ferromagnetic materials
- Phase segregation dynamics in particle systems with long range interactions. I: Macroscopic limits
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes
- Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
- Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation
- Well-posedness of the Cahn-Hilliard equation with fractional free energy and its Fourier Galerkin approximation
- Numerical approximations for a phase-field moving contact line model with variable densities and viscosities
- Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model
- Perturbation and error analyses of the partitioned \textit{LU} factorization for block tridiagonal linear systems
- Event-triggered sampling control for stability and stabilization of memristive neural networks with communication delays
- Regularized linear schemes for the molecular beam epitaxy model with slope selection
- Numerical valuation of options with jumps in the underlying
- A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
- Some remarks on nonlocal interactions and hysteresis in phase transitions
- A positivity-preserving well-balanced central discontinuous Galerkin method for the nonlinear shallow water equations
- A continuum approach to modelling cell-cell adhesion
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals
- Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
- Numerical approximations to a new phase field model for two phase flows of complex fluids
- Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows
- A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids
- Energy Stable Numerical Schemes for a Hydrodynamic Model of Nematic Liquid Crystals
- Numerical schemes for a three component Cahn-Hilliard model
- Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- Phase Segregation Dynamics in Particle Systems with Long Range Interactions II: Interface Motion
- Efficient Second Order Unconditionally Stable Schemes for a Phase Field Moving Contact Line Model Using an Invariant Energy Quadratization Approach
- Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model
- Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities
- A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
- Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids
- Dynamical density functional theory for interacting Brownian particles: stochastic or deterministic?
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method
- Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids
- Option pricing when underlying stock returns are discontinuous
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
- Spectral methods for mesoscopic models of pattern formation