Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations
From MaRDI portal
Publication:2067311
DOI10.1007/s10915-021-01746-yOpenAlexW3135371133MaRDI QIDQ2067311
Zhaoming Yuan, Zhi Zhou, Jiang Yang
Publication date: 18 January 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.13271
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx)
Related Items (12)
Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows ⋮ Arbitrarily high order and fully discrete extrapolated RK-SAV/DG schemes for phase-field gradient flows ⋮ Second-order semi-Lagrangian exponential time differencing method with enhanced error estimate for the convective Allen-Cahn equation ⋮ Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation ⋮ High-order supplementary variable methods for thermodynamically consistent partial differential equations ⋮ A structure-preserving, upwind-SAV scheme for the degenerate Cahn-Hilliard equation with applications to simulating surface diffusion ⋮ Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations ⋮ High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ Low order nonconforming finite element methods for nuclear reactor model ⋮ A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility ⋮ An efficient bound-preserving and energy stable algorithm for compressible gas flow in porous media
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- The scalar auxiliary variable (SAV) approach for gradient flows
- Strong Stability-Preserving High-Order Time Discretization Methods
- Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker--Planck Equations
- Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem
- Single step methods for inhomogeneous linear differential equations in Banach space
- Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence
- Total variation diminishing Runge-Kutta schemes
- Strong Stability Preserving Integrating Factor Runge--Kutta Methods
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
- A diffuse-interface method for simulating two-phase flows of complex fluids
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation
- Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations
- Solving Ordinary Differential Equations II
- Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations
- Arbitrarily High-Order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models
- Positivity Preserving Limiters for Time-Implicit Higher Order Accurate Discontinuous Galerkin Discretizations
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle
- A note on why enforcing discrete maximum principles by a simple a posteriori cutoff is a good idea
- Galerkin Finite Element Methods for Parabolic Problems
This page was built for publication: Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations
