A fast time two-mesh algorithm for Allen-Cahn equation
DOI10.1007/s40840-019-00810-zzbMath1437.65147OpenAlexW2966376614MaRDI QIDQ1988557
Qingqing Du, Danxia Wang, Hongen Jia, Jian-Wen Zhang
Publication date: 23 April 2020
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-019-00810-z
Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations
- Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
- An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- An efficient and accurate numerical algorithm for the vector-valued Allen-Cahn equations
- Spectral implementation of an adaptive moving mesh method for phase-field equations
- An efficient algorithm for solving the phase field crystal model
- Smoothing schemes for reaction-diffusion systems with nonsmooth data
- Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- A mathematical model of tumor hypoxia targeting in cancer treatment and its numerical simulation
- Geometrical image segmentation by the Allen-Cahn equation
- Generalized motion by mean curvature with Neumann conditions and the Allen-Cahn model for phase transitions
- Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions
- A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow
- Phase transitions and generalized motion by mean curvature
- A Two-Level Method with Backtracking for the Navier--Stokes Equations
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
This page was built for publication: A fast time two-mesh algorithm for Allen-Cahn equation