Motion by mean curvature of curves on surfaces using the Allen–Cahn equation-Reference-Cited by-同舟云学术

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Motion by mean curvature of curves on surfaces using the Allen–Cahn equation

Published:2015-12 Issue: Volume:97 Page:126-132
ISSN:0020-7225
Container-title:International Journal of Engineering Science
language:en
Short-container-title:International Journal of Engineering Science

Author:

Choi Yongho,Jeong Darae,Lee Seunggyu,Yoo Minhyun,Kim Junseok

Funder

National Research Foundation of Korea

Publisher

Elsevier BV

Subject

General Engineering,Mechanics of Materials,General Materials Science,Mechanical Engineering

Reference13 articles.

1. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening;Allen;Acta Materialia,1979

2. Variational problems and partial differential equations on implicit surfaces;Bertalmio;Journal of Computational Physics,2001

3. An unconditionally gradient stable numerical method for solving the Allen–Cahn equation;Choi;Physica A: Statistical Mechanics and its Applications,2009

4. Solving eigenvalue problems on curved surfaces using the closest point method;Macdonald;Journal of Computational Physics,2011

5. Phase separation dynamics on curved surfaces;Marenduzzo;Soft Matter,2013

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1. Fast and efficient numerical method for solving the Allen–Cahn equation on the cubic surface;Mathematics and Computers in Simulation;2024-01

2. A radial basis function approximation method for conservative Allen–Cahn equations on surfaces;Applied Mathematics Letters;2023-09

3. Numerical solution of Allen–Cahn model on surfaces via an effective method based on generalized moving least squares (GMLS) approximation and the closest point approach;Engineering Analysis with Boundary Elements;2023-07

4. A Kernel-Based Least-Squares Collocation Method for Surface Diffusion;SIAM Journal on Numerical Analysis;2023-06-07

5. Numerical solutions to low and high-dimensional Allen–Cahn equations using stochastic differential equations and neural networks;Partial Differential Equations in Applied Mathematics;2023-06

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