伽辽金无网格法和有限元法的比较

Comparative study of the Galerkin mesh-free method and the finite element method

无网格法在计算力学中成为一种区别于有限元法的新的数值计算方法。文章通过对无单元无网法、应变光滑稳定法、常规有限元法和杂交应力元法进行位移误差和应力误差比较分析;结果表明,无单元无网法和有限元完全积分法在许多问题上精度是可比较的,而有限元中杂交应力元法则明显优于其他方法。

The mesh-free method has been a popular research topic of computational mechanics in the past decade. In this study, the general mesh-free method, the stabilized conforming nodal integration method and the finite element method are compared with respect to their displacement error norm and stress error norm at various nodal densities. While the general mesh-free method and the fully-inte- grated finite element model are comparable in accuracy in many of the problems, the hybrid-stress fi- nite element model is markedly more accurate than all the other methods and models.