@Article{CiCP-1-5, 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/2006-CiCP-7980}, url = {https://global-sci.com/article/81393/an-r-adaptive-finite-element-method-for-the-solution-of-the-two-dimensional-phase-field-equations} }