@Article{CiCP-5-1012,
author = {Xianliang Hu, Ruo Li and Tao Tang},
title = {A Multi-Mesh Adaptive Finite Element Approximation to Phase Field Models},
journal = {Communications in Computational Physics},
year = {2009},
volume = {5},
number = {5},
pages = {1012--1029},
abstract = {<p style="text-align: justify;">In this work, we propose an efficient multi-mesh adaptive finite element
method for simulating the dendritic growth in two- and three-dimensions. The governing equations used are the phase field model, where the regularity behaviors of the
relevant dependent variables, namely the thermal field function and the phase field
function, can be very different. To enhance the computational efficiency, we approximate these variables on different h-adaptive meshes. The coupled terms in the system
are calculated based on the implementation of the multi-mesh h-adaptive algorithm
proposed by Li (J. Sci. Comput., pp. 321-341, 24 (2005)). It is illustrated numerically
that the multi-mesh technique is useful in solving phase field models and can save
storage and the CPU time significantly.</p>},
issn = {1991-7120},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cicp/7775.html}
}