TY - JOUR
T1 - An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations
JO - Communications in Computational Physics
VL - 5
SP - 805
EP - 826
PY - 2006
DA - 2006/01
SN - 1
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7980.html
KW - Phase change
KW - phase-field
KW - equidistribution
KW - moving meshes
KW - adaptive method.
AB - <p style="text-align: justify;">An adaptive moving mesh method is developed for the numerical solution
of two-dimensional phase change problems modelled by the phase-field equations. The
numerical algorithm is relatively simple and is shown to be more efficient than fixed grid
methods. The phase-field equations are discretized by a Galerkin finite element method.
An adaptivity criterion is used that ensures that the mesh spacing at the phase front
scales with the diffuse interface thickness.</p>