An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations  

作　　者：G.Beckett J.A.Mackenzie M.L.Robertson 

机构地区：[1]Department of Mathematics,University of Strathclyde,Livingstone Tower,26 Richmond Street,Glasgow G11XH,Scotland

出　　处：《Communications in Computational Physics》2006年第5期805-826,共22页计算物理通讯（英文）

摘　　要：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 discretised 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.

关 键 词：Phase change PHASE-FIELD EQUIDISTRIBUTION moving meshes adaptive method 

分 类 号：O17[理学—数学]