Effective time step analysis for the Allen–Cahn equation with a high‐order polynomial free energy-Reference-Cited by-同舟云学术

Effective time step analysis for the Allen–Cahn equation with a high‐order polynomial free energy

Published:2022-06-17 Issue:19 Volume:123 Page:4726-4743
ISSN:0029-5981
Container-title:International Journal for Numerical Methods in Engineering
language:en
Short-container-title:Numerical Meth Engineering

Author:

Lee Seunggyu¹²,Yoon Sungha³,Lee Chaeyoung⁴,Kim Sangkwon⁴,Kim Hyundong⁵,Yang Junxiang⁶,Kwak Soobin⁴,Hwang Youngjin⁴,Kim Junseok⁴^ORCID

Affiliation:

1. Division of Applied Mathematical Sciences Korea University Sejong Republic of Korea

2. Biomedical Mathematics Group, Pioneer Research Center for Mathematical and Computational Sciences Institute for Basic Science Daejeon Republic of Korea

3. Institute of Mathematical Sciences Ewha Womans University Seoul Republic of Korea

4. Department of Mathematics Korea University Seoul Republic of Korea

5. Institute for the Advanced Study of Human Biology (WPI‐ASHBi), Kyoto University Institute for Advanced Study Kyoto University Kyoto Japan

6. School of Computer Science and Engineering Sun Yat‐Sen University Guangzhou China

Funder

Ministry of Education

Ministry of Science and ICT, South Korea

Ministry of Science, ICT and Future Planning

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/nme.7053

Reference36 articles.

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

2. Metastable speeds in the fractional Allen–Cahn equation

3. Classification and image processing with a semi‐discrete scheme for fidelity forced Allen–Cahn on graphs

4. Fast and Accurate Smoothing Method Using A Modified Allen–Cahn Equation

5. A nodal finite element approximation of a phase field model for shape and topology optimization

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4. A linear convex splitting scheme for the Cahn–Hilliard equation with a high‐order polynomial free energy;International Journal for Numerical Methods in Engineering;2023-05-11