Approximation and comparison for motion by mean curvature with intersection points
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Publication:597251
DOI10.1016/S0898-1221(03)90213-6zbMath1049.65012OpenAlexW2014701357MaRDI QIDQ597251
Publication date: 6 August 2004
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0898-1221(03)90213-6
potentialAllen-Cahn equationIntersection pointKacMotion by mean curvatureNonlocal evolution equationspetracl method numerical results
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A stable and structure-preserving scheme for a non-local Allen-Cahn equation ⋮ An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation ⋮ Effective time step analysis for the Allen–Cahn equation with a high‐order polynomial free energy ⋮ An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation ⋮ High-order and mass conservative methods for the conservative Allen-Cahn equation
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- Generalized motion by mean curvature as a macroscopic limit of stochastic Ising models with long range interactions and Glauber dynamics
- Motion by curvature by scaling nonlocal evolution equations
- Glauber evolution with Kac potentials. I. Mesoscopic and macroscopic limits, interface dynamics
- Glauber evolution with Kac potentials: III. Spinodal decomposition
- Stochastic curvature flows: Asymptotic derivation, level set formulation and numerical experiments
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