A two‐grid finite element method for the Allen‐Cahn equation with the logarithmic potential-Reference-Cited by-同舟云学术

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A two‐grid finite element method for the Allen‐Cahn equation with the logarithmic potential

Published:2022-10-10 Issue:2 Volume:39 Page:1251-1265
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numerical Methods Partial

Author:

Wang Danxia¹^ORCID,Li Yanan¹,Jia Hongen¹

Affiliation:

1. College of Mathematics Taiyuan University of Technology Tai'yuan China

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22932

Reference40 articles.

1. A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening

2. Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights

3. Geometrical image segmentation by the Allen–Cahn equation

4. A Wavelet-Laplace Variational Technique for Image Deconvolution and Inpainting

5. Phase-Field Simulation of Solidification

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Solving Allen-Cahn equations with periodic and nonperiodic boundary conditions using mimetic finite-difference operators;Applied Mathematics and Computation;2025-01

2. A structure-preserving explicit numerical scheme for the Allen–Cahn equation with a logarithmic potential;Journal of Mathematical Analysis and Applications;2024-10

3. A preserving accuracy two-grid reduced-dimensional Crank-Nicolson mixed finite element method for nonlinear wave equation;Applied Numerical Mathematics;2024-08

4. A reduced-dimension extrapolation two-grid Crank-Nicolson finite element method of unknown solution coefficient vectors for spatial fractional nonlinear Allen-Cahn equations;Computers & Mathematics with Applications;2024-08

5. A dimension reduction method of two‐grid finite element solution coefficient vectors for the Allen–Cahn equation;Mathematical Methods in the Applied Sciences;2024-07-22

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