A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems
From MaRDI portal
Publication:2168094
DOI10.1016/j.matcom.2022.05.024OpenAlexW4281665532WikidataQ113869136 ScholiaQ113869136MaRDI QIDQ2168094
Publication date: 31 August 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2022.05.024
Related Items
An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model, An accurate and parallel method with post-processing boundedness control for solving the anisotropic phase-field dendritic crystal growth model, A highly efficient variant of scalar auxiliary variable (SAV) approach for the phase-field fluid-surfactant model, Fast and efficient numerical method for solving the Allen-Cahn equation on the cubic surface, An efficient dimension splitting p-adaptive method for the binary fluid surfactant phase field model, Stability analysis for a maximum principle preserving explicit scheme of the Allen-Cahn equation, Phase field modeling and computation of multi-component droplet evaporation
Cites Work
- Unnamed Item
- An \(H^2\) convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn-Hilliard equation
- A hybrid FEM for solving the Allen-Cahn equation
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations
- Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions
- Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method
- An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations
- Galerkin finite element methods for parabolic problems
- Error analysis of stabilized semi-implicit method of Allen-Cahn equation
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- The scalar auxiliary variable (SAV) approach for gradient flows
- Geometrical image segmentation by the Allen-Cahn equation
- An energy stable finite element scheme for the three-component Cahn-Hilliard-type model for macromolecular microsphere composite hydrogels
- A positivity-preserving, energy stable scheme for a ternary Cahn-Hilliard system with the singular interfacial parameters
- A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
- Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations
- Stability and convergence of Strang splitting. I: Scalar Allen-Cahn equation
- A new second-order maximum-principle preserving finite difference scheme for Allen-Cahn equations with periodic boundary conditions
- Shape transformation using the modified Allen-Cahn equation
- Numerical analysis and applications of explicit high order maximum principle preserving integrating factor Runge-Kutta schemes for Allen-Cahn equation
- Stabilized energy factorization approach for Allen-Cahn equation with logarithmic Flory-Huggins potential
- A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation
- Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
- An energy stable fourth order finite difference scheme for the Cahn-Hilliard equation
- A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
- The stabilized semi-implicit finite element method for the surface Allen-Cahn equation
- A second order operator splitting numerical scheme for the ``good Boussinesq equation
- A second-order, weakly energy-stable pseudo-spectral scheme for the Cahn-Hilliard equation and its solution by the homogeneous linear iteration method
- Soft Matter Physics
- Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection
- Spectral Methods
- Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen–Cahn and Ginzburg–Landau Equations Past Topological Changes
- Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow
- Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods
- Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
- Strong Stability Preserving Integrating Factor Runge--Kutta Methods
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- 𝐻¹-Superconvergence of a difference finite element method based on the 𝑃₁-𝑃₁-conforming element on non-uniform meshes for the 3D Poisson equation
- Stability and convergence of a second-order mixed finite element method for the Cahn–Hilliard equation
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- H1‐superconvergence of finite difference method based on Q1‐element on quasi‐uniform mesh for the 3D Poisson equation
- Error estimates for fully discrete BDF finite element approximations of the Allen–Cahn equation
- A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation
- A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters
- Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations
- Stability analysis and best approximation error estimates of discontinuous time-stepping schemes for the Allen–Cahn equation
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
- Color Image Segmentation by the Vector-Valued Allen–Cahn Phase-Field Model: A Multigrid Solution
- On the Construction and Comparison of Difference Schemes
