方法名称                                     提出者                                   近似方法                          离散方式              背景网格

光滑粒子流体动                            Lucy                                      核积分                                配点                       无

力学方法（SPH）

扩散单元法（DEM）                   Nayrdes                                    MLS                                   Galerkin                   有

无网格Galerkin法

（EFGM）                                  Belytschko                                 MLS                                   Galerkin                   有

有限点法（FPM）                         Onate                                     MLS                                     配点                      无

再生核粒子法

（RKPM）                                        Liu                                   再生核积分                           Galerkin                    有

hp云法（hp-clouds）                      Oden                                   MLS/PU                              Galerkin                    有

广义差分法（Liszka云法）           Liszka                                      泰勒级数                               配点                      无

单位分解法（PUM）                     Babuska                                   PU                                     Galerkin                   有

扩展有限元法（XFEM）               Belytschko                                PU                                      Galerkin                   有

局部无网格法（MLPG）               Atluri                                       MLS等                               Petrov- Galerkin          无

径向基函数（RBF）                    Kansa                                         RBF                                      配点                      无

 径向基点插法（RPIM,RPCM）   G.R.Liu                                   局部 径向基插值                   Galerkin和配点            有       

RBF-DQ                                      C.Shu                                     RBF,DQ                                     配点                      无