Highly efficient, decoupled and unconditionally stable numerical schemes for a modified phase-field crystal model with a strong nonlinear vacancy potential
From MaRDI portal
Publication:2682674
DOI10.1016/j.camwa.2022.12.011OpenAlexW4313203770MaRDI QIDQ2682674
Publication date: 1 February 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.12.011
Statistical mechanics of crystals (82D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items
Cites Work
- An unconditionally energy-stable method for the phase field crystal equation
- Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
- An adaptive time-stepping strategy for solving the phase field crystal model
- First and second order operator splitting methods for the phase field crystal equation
- A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation
- Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation
- The numerical solution of Cahn-Hilliard (CH) equation in one, two and three-dimensions via globally radial basis functions (GRBFs) and RBFs-differential quadrature (RBFs-DQ) methods
- The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- First and second order numerical methods based on a new convex splitting for phase-field crystal equation
- 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
- The scalar auxiliary variable (SAV) approach for gradient flows
- Convergence analysis and numerical implementation of a second order numerical scheme for the three-dimensional phase field crystal equation
- A meshless technique based on generalized moving least squares combined with the second-order semi-implicit backward differential formula for numerically solving time-dependent phase field models on the spheres
- Simulation of the phase field Cahn-Hilliard and tumor growth models via a numerical scheme: element-free Galerkin method
- Efficient numerical schemes with unconditional energy stabilities for the modified phase field crystal equation
- Linear, second-order accurate, and energy stable scheme for a ternary Cahn-Hilliard model by using Lagrange multiplier approach
- Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach
- Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation
- Long-time simulation of the phase-field crystal equation using high-order energy-stable CSRK methods
- Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation
- Efficient modified stabilized invariant energy quadratization approaches for phase-field crystal equation
- First- and second-order unconditionally stable direct discretization methods for multi-component Cahn-Hilliard system on surfaces
- High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model
- Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation
- A linearly second-order energy stable scheme for the phase field crystal model
- Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method
- A multigrid finite element solver for the Cahn-Hilliard equation
- The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods
- New efficient time-stepping schemes for the anisotropic phase-field dendritic crystal growth model
- A generalized SAV approach with relaxation for dissipative systems
- Efficient second order unconditionally stable time marching numerical scheme for a modified phase-field crystal model with a strong nonlinear vacancy potential
- Convergence Analysis of a Second Order Convex Splitting Scheme for the Modified Phase Field Crystal Equation
- An Energy Stable and Convergent Finite-Difference Scheme for the Modified Phase Field Crystal Equation
- Local Discontinuous Galerkin Method and High Order Semi-Implicit Scheme for the Phase Field Crystal Equation
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- Error Analysis of SAV Finite Element Method to Phase Field Crystal Model
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- A variant of stabilized-scalar auxiliary variable (S-SAV) approach for a modified phase-field surfactant model
