Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation
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Publication:6044010
DOI10.1016/j.enganabound.2023.02.016zbMath1521.65072OpenAlexW4320037512MaRDI QIDQ6044010
Publication date: 25 May 2023
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2023.02.016
maximum principle preservingconservative Allen-Cahn equationspace-time dependent Lagrange multiplier
Reaction-diffusion equations (35K57) 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)
Cites Work
- Accurate contact angle boundary conditions for the Cahn-Hilliard equations
- High-order and mass conservative methods for the conservative Allen-Cahn equation
- Arbitrarily high order structure-preserving algorithms for the Allen-Cahn model with a nonlocal constraint
- An adaptive phase field method for the mixture of two incompressible fluids
- A second order operator splitting method for Allen-Cahn type equations with nonlinear source terms
- Multi-phase-field modeling using a conservative Allen-Cahn equation for multiphase flow
- A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier
- A stable and structure-preserving scheme for a non-local Allen-Cahn equation
- The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
- A finite difference method for a conservative Allen-Cahn equation on non-flat surfaces
- A multigrid solution for the Cahn-Hilliard equation on nonuniform grids
- 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
- Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions
- The discrete maximum principle and energy stability of a new second-order difference scheme for Allen-Cahn equations
- Non-iterative compact operator splitting scheme for Allen-Cahn equation
- Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations
- A high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier
- An unconditionally stable splitting method for the Allen-Cahn equation with logarithmic free energy
- A conservative Allen-Cahn equation with a curvature-dependent Lagrange multiplier
- Learning finite difference methods for reaction-diffusion type equations with FCNN
- An explicit stable finite difference method for the Allen-Cahn equation
- An efficient operator-splitting radial basis function-generated finite difference (RBF-FD) scheme for image noise removal based on nonlinear total variation models
- A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential
- Maximum-principle-preserving local discontinuous Galerkin methods for Allen-Cahn equations
- Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model
- Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
- Stability and convergence of Strang splitting. II: Tensorial Allen-Cahn equations
- Stability and convergence of Strang splitting. I: Scalar Allen-Cahn equation
- Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen-Cahn fluid models based on a modified SAV approach
- Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme
- A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations
- Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model
- Numerical study of incompressible binary fluids on 3D curved surfaces based on the conservative Allen-Cahn-Navier-Stokes model
- The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods
- A modified phase field approximation for mean curvature flow with conservation of the volume
- Nonlocal reaction—diffusion equations and nucleation
- Volume-Preserving Mean Curvature Flow as a Limit of a Nonlocal Ginzburg-Landau Equation
- Phase-Field Models for Multi-Component Fluid Flows
- Numerical approximation of the conservative Allen–Cahn equation by operator splitting method
- A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations
