TY - JOUR
T1 - A simple moving mesh method for one- and two-dimensional phase-field equations
AU - Tan, Zhijun
AU - Tang, Tao
AU - Zhang, Zhengru
N1 - The research of the second author was supported by the Hong Kong Research Grants Council and the International Research Team on Complex System of Chinese Academy of Sciences.
PY - 2006/6/1
Y1 - 2006/6/1
N2 - 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.
AB - 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.
KW - Computation of free boundaries
KW - Finite volume method
KW - Moving mesh method
KW - Phase-field equations
UR - http://www.scopus.com/inward/record.url?scp=31944439620&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2005.01.042
DO - 10.1016/j.cam.2005.01.042
M3 - Conference article
AN - SCOPUS:31944439620
SN - 0377-0427
VL - 190
SP - 252
EP - 269
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1-2
T2 - International Conference on Mathematics and its Application
Y2 - 28 May 2004 through 31 May 2004
ER -