Radial point collocation method （RPCM） for solving convection-diffusion problems   总被引：1，自引：0，他引：1  

LIU Xin 《浙江大学学报(A卷英文版)》2006,7(6):1061-1067

INTRODUCTION Meshfree methods are increasingly becoming popular as they are effective for dealing with com-putational mechanics problems including both solid and fluid problems. Most of various approaches proposed in (Liu, 2002) are based on Galerkin form (weak form) which need background meshes for numerical integrations, and are actually not truly meshfree methods. Other approaches are based on collocation form (strong form), such as finite point method (FPM) (Onate et al., 1996), ra…  相似文献   

A meshfree method and its applications to elasto-plastic problems     

张继发  张文普郑耀 《浙江大学学报(A卷英文版)》2005,6(2):148-154

Standard finite element approaches are still ineffective in handling extreme material deformation, such as cases of large deformations and moving discontinuities due to severe mesh distortion. Among meshfree methods developed to overcome the ineffectiveness, Reproducing Kernel Particle Method (RKPM) has demonstrated its great suitability for structural analysis. This paper presents applications of RKPM in elasto-plastic problems after a review of meshfree methods and an introduction to RKPM. A slope stability problem in geotechnical engineering is analyzed as an illustrative case. The corresponding numerical simulations are carried out on an SGI Onyx3900 supercomputer. Comparison of the RKPM and the FEM under identical conditions showed that the RKPM is more suitable for problems where there exists extremely large strain such as in the case of slope sliding.  相似文献