A weak Galerkin finite element method for Allen–Cahn equation with a nonuniform two‐step backward differentiation formula scheme
From MaRDI portal
Publication:6086367
DOI10.1002/num.22964OpenAlexW4310383682MaRDI QIDQ6086367
Jintao Cui, Xiuping Wang, Fuzheng Gao, Zhengjia Sun
Publication date: 12 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22964
Cites Work
- On application of the weak Galerkin finite element method to a two-phase model for subsurface flow
- The weak Galerkin method for solving the incompressible Brinkman flow
- Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation
- Weak Galerkin finite element methods for Darcy flow: anisotropy and heterogeneity
- Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
- An adaptive time-stepping strategy for solving the phase field crystal model
- Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Efficient energy stable numerical schemes for a phase field moving contact line model
- Stability of multistep-methods on variable grids
- A weak Galerkin finite element method for the Maxwell equations
- Error analysis of stabilized semi-implicit method of Allen-Cahn equation
- A second order backward difference method with variable steps for a parabolic problem
- Applications of semi-implicit Fourier-spectral method to phase field equations
- Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
- 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
- A weak Galerkin finite element method for second-order elliptic problems
- Weak Galerkin mixed finite element methods for parabolic equations with memory
- A computational study of the weak Galerkin method for second-order elliptic equations
- Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
- An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes
- Computationally efficient adaptive time step method for the Cahn-Hilliard equation
- On linear schemes for a Cahn-Hilliard diffuse interface model
- A modified weak Galerkin finite element method for a class of parabolic problems
- Stability and error of the variable two-step BDF for semilinear parabolic problems
- A weak Galerkin mixed finite element method for second order elliptic problems
- Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow
- A Hybridized Weak Galerkin Finite Element Method for the Biharmonic Equation
- Numerical Analysis of a Continuum Model of Phase Transition
- Computation of Two-Phase Biomembranes with Phase DependentMaterial Parameters Using Surface Finite Elements
- Weak Galerkin method for the coupled Darcy–Stokes flow
- Developing weak Galerkin finite element methods for the wave equation
- Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes
This page was built for publication: A weak Galerkin finite element method for Allen–Cahn equation with a nonuniform two‐step backward differentiation formula scheme