A practical adaptive grid method for the Allen-Cahn equation
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Publication:2068537
DOI10.1016/j.physa.2021.125975OpenAlexW3141285761MaRDI QIDQ2068537
Chaeyoung Lee, Yibao Li, Darae Jeong, Junseok Kim, Yongho Choi, Junxiang Yang
Publication date: 19 January 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2021.125975
Related Items (4)
An explicit adaptive finite difference method for the Cahn-Hilliard equation ⋮ A simple and efficient numerical method for the Allen-Cahn equation on effective symmetric triangular meshes ⋮ Stability analysis for a maximum principle preserving explicit scheme of the Allen-Cahn equation ⋮ Numerical simulations of the dynamics of axisymmetric compound liquid threads with a phase-field model
Uses Software
Cites Work
- Unnamed Item
- Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method
- An adaptive multigrid algorithm for simulating solid tumor growth using mixture models
- An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
- Flow by mean curvature of convex surfaces into spheres
- Modelling phase transitions in alloys
- The heat equation shrinking convex plane curves
- The heat equation shrinks embedded plane curves to round points
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Numerical simulation of the zebra pattern formation on a three-dimensional model
- An explicit hybrid finite difference scheme for the Allen-Cahn equation
- Conservative Allen-Cahn-Navier-Stokes system for incompressible two-phase fluid flows
- Multimaterial topology optimization by volume constrained Allen-Cahn system and regularized projected steepest descent method
- An efficient reproducing kernel method for solving the Allen-Cahn equation
- A continuous surface tension force formulation for diffuse-interface models
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Geometrical image segmentation by the Allen-Cahn equation
- Numerical study of rising bubbles with path instability using conservative level-set and adaptive mesh refinement
- Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis
- Time-fractional Allen-Cahn and Cahn-Hilliard phase-field models and their numerical investigation
- Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
- A semi-analytical Fourier spectral method for the Allen-Cahn equation
- An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation
- Adaptive mesh refinement for simulation of thin film flows
- Efficient numerical scheme for solving the Allen‐Cahn equation
- Discrete maximum-norm stability of a linearized second-order finite difference scheme for Allen–Cahn equation
- Fast and accurate adaptive finite difference method for dendritic growth
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