@Article{CiCP-1-805, author = {}, title = {An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations}, journal = {Communications in Computational Physics}, year = {2006}, volume = {1}, number = {5}, pages = {805--826}, abstract = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7980.html} }