Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model (Q2199777)

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English	Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model	scientific article

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scholarly article

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title

Highly efficient and linear numerical schemes with unconditional energy stability for the anisotropic phase-field crystal model (English)

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author

Yanyan Li

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published in

Journal of Computational and Applied Mathematics

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publication date

14 September 2020

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zbMATH Keywords

phase-field crystal model

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anisotropy

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unconditionally energy stable

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stabilized-SAV approach

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cam.2020.113122

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cites work

The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods

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Local Discontinuous Galerkin Method and High Order Semi-Implicit Scheme for the Phase Field Crystal Equation

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Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation

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First- and second-order energy stable methods for the modified phase field crystal equation

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A second-order, uniquely solvable, energy stable BDF numerical scheme for the phase field crystal model

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Linearly first- and second-order, unconditionally energy stable schemes for the phase field crystal model

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Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation

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Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

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Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends

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Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

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Efficient numerical scheme for a dendritic solidification phase field model with melt convection

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Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

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A novel linear second order unconditionally energy stable scheme for a hydrodynamic \(\mathbf{Q} \)-tensor model of liquid crystals

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Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model

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Second Order, Linear, and Unconditionally Energy Stable Schemes for a Hydrodynamic Model of Smectic-A Liquid Crystals

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Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system

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Regularized linear schemes for the molecular beam epitaxy model with slope selection

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Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state

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Fully Discrete Second-Order Linear Schemes for Hydrodynamic Phase Field Models of Binary Viscous Fluid Flows with Variable Densities

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Second Order Fully Discrete Energy Stable Methods on Staggered Grids for Hydrodynamic Phase Field Models of Binary Viscous Fluids

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Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method

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The scalar auxiliary variable (SAV) approach for gradient flows

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A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

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Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach

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Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model

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Decoupled, energy stable schemes for a phase-field surfactant model

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Efficient energy-stable schemes for the hydrodynamics coupled phase-field model

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An unconditionally energy stable scheme for simulating wrinkling phenomena of elastic thin films on a compliant substrate

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Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow

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Efficient second order unconditionally stable time marching numerical scheme for a modified phase-field crystal model with a strong nonlinear vacancy potential

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Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein condensates

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Structure-preserving algorithms for the two-dimensional sine-Gordon equation with Neumann boundary conditions

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Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable

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An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices

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Fast, provably unconditionally energy stable, and second-order accurate algorithms for the anisotropic Cahn-Hilliard model

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Efficient and linear schemes for anisotropic Cahn-Hilliard model using the stabilized-invariant energy quadratization (S-IEQ) approach

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Efficient, non-iterative, and second-order accurate numerical algorithms for the anisotropic Allen-Cahn equation with precise nonlocal mass conservation

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Numerical approximations for a new \(L^2\)-gradient flow based phase field crystal model with precise nonlocal mass conservation

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Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model

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Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes

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On second order semi-implicit Fourier spectral methods for 2D Cahn-Hilliard equations

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An adaptive time-stepping strategy for solving the phase field crystal model

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Identifiers

zbMATH Open document ID

1452.65165

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Mathematics Subject Classification ID

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10.1016/J.CAM.2020.113122

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Sitelinks

Mathematics(1 entry)

mardi Publication:2199777