A simple moving mesh method for one- and two-dimensional phase-field equations

Zhijun Tan, Tao Tang, Zhengru Zhang*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

22 Citations (Scopus)


A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys. 170 (2001) 562-588] to separate the mesh-moving and PDE evolution. The phase-field equations are discretized by a finite-volume method, and the mesh-moving part is realized by solving the conventional Euler-Lagrange equations with the standard gradient-based monitors. Numerical results demonstrate the accuracy and effectiveness of the proposed algorithm.

Original languageEnglish
Pages (from-to)252-269
Number of pages18
JournalJournal of Computational and Applied Mathematics
Issue number1-2
Publication statusPublished - 1 Jun 2006
EventInternational Conference on Mathematics and its Application 2004 - City University of Hong Kong, Hong Kong
Duration: 28 May 200431 May 2004
https://www.sciencedirect.com/journal/journal-of-computational-and-applied-mathematics/vol/190/issue/1 (Conference proceedings)

Scopus Subject Areas

  • Computational Mathematics
  • Applied Mathematics

User-Defined Keywords

  • Computation of free boundaries
  • Finite volume method
  • Moving mesh method
  • Phase-field equations


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