  This study presents a meshless-based local reanalysis (MLR) method. The
purpose of this study is to extend reanalysis methods to the Kriging
interpolation meshless method due to its high efficiency. In this study, two
reanalysis methods: combined approximations CA) and indirect factorization
updating (IFU) methods are utilized. Considering the computational cost of
meshless methods, the reanalysis method improves the efficiency of the full
meshless method significantly. Compared with finite element method (FEM)-based
reanalysis methods, the main superiority of meshless-based reanalysis method is
to break the limitation of mesh connection. The meshless-based reanalysis is
much easier to obtain the stiffness matrix even for solving the mesh distortion
problems. However, compared with the FEM-based reanalysis method, the critical
challenge is to use much more nodes in the influence domain due to high order
interpolation. Therefore, a local reanalysis method which only needs to
calculate the local stiffness matrix in the influence domain is suggested to
improve the efficiency further. Several typical numerical examples are tested
and the performance of the suggested method is verified.
