A modified Crank-Nicolson finite difference method preserving maximum-principle for the phase-field model
DOI10.1016/J.JMAA.2023.127271OpenAlexW4361297268MaRDI QIDQ6110820
Zhengyuan Song, Dingqi Li, Dongmei Wang, Huanrong Li
Publication date: 6 July 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127271
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Cites Work
- Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
- Provably unconditionally stable, second-order time-accurate, mixed variational methods for phase-field models
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Error analysis of stabilized semi-implicit method of Allen-Cahn equation
- An explicit hybrid finite difference scheme for the Allen-Cahn equation
- On the stability and accuracy of partially and fully implicit schemes for phase field modeling
- Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow
- Error analysis of a fully discrete Morley finite element approximation for the Cahn-Hilliard equation
- A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model
- Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model
- A modified finite volume element method for solving the phase field Allen-Cahn model
- The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows
- A reduced-order energy-stability-preserving finite difference iterative scheme based on POD for the Allen-Cahn equation
- A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient
- Finite Element Methods for the Stochastic Allen--Cahn Equation with Gradient-type Multiplicative Noise
- Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
- Efficient numerical methods for phase-field equations
- Analysis of the Morley element for the Cahn–Hilliard equation and the Hele-Shaw flow
- Uniformly convergent novel finite difference methods for singularly perturbed reaction–diffusion equations
- Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen–Cahn equation
- Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models
- Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
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