A kernel-enriched quadratic convex meshfree approximation
Chen, Peng Jie
Wang, Dong Dong
- 建筑土木－会议论文 
Convex meshfree approximation with non-negative shape functions yields strict positive mass matrix and is particularly favorable for dynamic analysis. In this work, a kernel-enriched quadratic convex meshfree formulation with adjustable local approximation feature is presented. This formulation is built upon the generalized meshfree approximation with a relaxed quadratic reproducing condition. The resulting shape functions of the kernel-enriched quadratic convex meshfree formulation are presented in detail. The convergence behaviors for both static and vibration problems are discussed. Numerical results show that better accuracy can be achieved with the present formulation. ? (2014) Trans Tech Publications, Switzerland.