Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation
DOI10.1016/j.jcp.2022.111695OpenAlexW4306742485MaRDI QIDQ2099753
Jingwei Li, Rihui Lan, Lili Ju, Yong-Yong Cai
Publication date: 18 November 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111695
mass conservationreconstructionexponential time differencingoperator splitting methodmaximum bound principleconvective Allen-Cahn equation
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)
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Cites Work
- Unnamed Item
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- Error analysis of a mixed finite element method for a Cahn-Hilliard-Hele-Shaw system
- Exponential time differencing for stiff systems
- Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Partial differential equations. III: Nonlinear equations.
- Diffuse-interface simulations of drop coalescence and retraction in viscoelastic fluids
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- A new class of time discretization schemes for the solution of nonlinear PDEs
- Weighted essentially non-oscillatory schemes
- Error estimate of the finite volume scheme for the Allen-Cahn equation
- Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system
- A second order energy stable scheme for the Cahn-Hilliard-Hele-Shaw equations
- KIOPS: a fast adaptive Krylov subspace solver for exponential integrators
- Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint
- A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations
- Maximum bound principle preserving integrating factor Runge-Kutta methods for semilinear parabolic equations
- A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
- Discrete maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation
- The numerical solutions for the energy-dissipative and mass-conservative Allen-Cahn equation
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- Conservative explicit local time-stepping schemes for the shallow water equations
- A conservative semi-Lagrangian finite difference WENO scheme based on exponential integrator for one-dimensional scalar nonlinear hyperbolic equations
- A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
- A second order operator splitting numerical scheme for the ``good Boussinesq equation
- Fast explicit integration factor methods for semilinear parabolic equations
- A positivity preserving characteristic finite element method for solving the transport and convection-diffusion-reaction equations on general surfaces
- Convergence analysis of a fully discrete finite difference scheme for the Cahn-Hilliard-Hele-Shaw equation
- Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection
- Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
- A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Nonlocal reaction—diffusion equations and nucleation
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Strong Stability Preserving Integrating Factor Runge--Kutta Methods
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
- Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I
- TWO-PHASE BINARY FLUIDS AND IMMISCIBLE FLUIDS DESCRIBED BY AN ORDER PARAMETER
- High order explicit local time stepping methods for hyperbolic conservation laws
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle
- Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance
- A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection
- 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
- Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation<sup>†</sup>
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- Stabilized exponential time differencing schemes for the convective Allen-Cahn equation
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