New third-order convex splitting methods and analysis for the phase field crystal equation-Reference-Cited by-同舟云学术

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New third-order convex splitting methods and analysis for the phase field crystal equation

Published:2024-02-28 Issue: Volume: Page:
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Ye Zhijian,Zheng Zhoushun,Li Zhilin

Funder

National Natural Science Foundation of China

Postgraduate Research and Innovation Project of Central South University

Postgraduate Scientific Research Innovation Project of Hunan Province

Simons Foundation

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s11075-024-01782-3.pdf

Reference43 articles.

1. Elder, K.R., Katakowski, M., Haataja, M., Grant, M.: Modeling elasticity in crystal growth. Phys. Rev. Lett. 88(24), 2457011–2457014 (2002). https://doi.org/10.1103/PhysRevLett.88.245701

2. Elder, K.R., Grant, M.: Modeling elastic and plastic deformations in nonequilibrium processing using phase field crystals. Phys. Rev. E 70(5), 051605 (2004). https://doi.org/10.1103/PhysRevE.70.051605

3. Elder, K.R., Provatas, N., Berry, J., Stefanovic, P., Grant, M.: Phase-field crystal modeling and classical density functional theory of freezing. Phys. Rev. B 75(6) (2007). https://doi.org/10.1103/PhysRevB.75.064107

4. Provatas, N., Dantzig, J.A., Athreya, B., Chan, P., Stefanovic, P., Goldenfeld, N., Elder, K.R.: Using the phase-field crystal method in the multi-scale modeling of microstructure evolution. JOM-US 59(7), 83–90 (2007). https://doi.org/10.1007/s11837-007-0095-3

5. Hirouchi, T., Takaki, T., Tomita, Y.: Development of numerical scheme for phase field crystal deformation simulation. Comp. Mater. Sci. 44(4), 1192–1197 (2009). https://doi.org/10.1016/j.commatsci.2008.08.001

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