Second-order semi-Lagrangian exponential time differencing method with enhanced error estimate for the convective Allen-Cahn equation
DOI10.1007/s10915-023-02316-0zbMath1529.65014OpenAlexW4386095849MaRDI QIDQ6077292
Jingwei Li, Rihui Lan, Xiaoqiang Wang, Yong-Yong Cai, Lili Ju
Publication date: 25 September 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-023-02316-0
variable coefficientssemi-Lagrangian methodexponential time differencingmaximum bound principleconvective Allen-Cahn equationenhanced error estimate
Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Maximum principles in context of PDEs (35B50) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Three or more component flows (76T30) Finite difference methods for boundary value problems involving PDEs (65N06)
Cites Work
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- Lagrange-Galerkin methods for the incompressible Navier-Stokes equations: a review
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- Exponential time differencing for stiff systems
- Partial differential equations. III: Nonlinear equations.
- Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations
- A new class of time discretization schemes for the solution of nonlinear PDEs
- On the transport-diffusion algorithm and its applications to the Navier-Stokes equations
- On the relationship between semi-Lagrangian and Lagrange-Galerkin schemes
- Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint
- Arbitrarily high-order maximum bound preserving schemes with cut-off postprocessing for Allen-Cahn equations
- Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation
- A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance
- Numerical simulations for the chemotaxis models on surfaces via a novel characteristic finite element method
- A fast compact time integrator method for a family of general order semilinear evolution equations
- A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability
- 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
- Modified characteristics gauge-Uzawa finite element method for time dependent conduction-convection problems
- 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
- Enhanced Convergence Estimates for Semi-Lagrangian Schemes Application to the Vlasov--Poisson Equation
- Convergence of a Fast Explicit Operator Splitting Method for the Epitaxial Growth Model with Slope Selection
- Numerical Experiments with the Osher Upwind Scheme for the Euler Equations
- Uniform Asymptotic Stability of Strang's Explicit Compact Schemes for Linear Advection
- On the stability of difference approximations to solutions of hyperbolic equations with variable coefficients
- The Optimal Accuracy of Difference Schemes
- Stability of the Lagrange-Galerkin method with non-exact integration
- Trigonometric Polynomials and Difference Methods of Maximum Accuracy
- Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
- A high-order characteristics/finite element method for the incompressible Navier-Stokes equations
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- Convergence Analysis of the Variational Operator Splitting Scheme for a Reaction-Diffusion System with Detailed Balance
- Generalized SAV-Exponential Integrator Schemes for Allen--Cahn Type Gradient Flows
- A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection
- Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations
- Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- A semi-Lagrangian high-order method for Navier-Stokes equations
- Unconditionally maximum principle preserving finite element schemes for the surface Allen–Cahn type equations
- Stabilized exponential time differencing schemes for the convective Allen-Cahn equation
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