Investigation of linear dependence problem of three-dimensional partition of unity-based finite element methods

• Main Authors: Zhang, H. H., Li, L. X., An, Xinmei, Zhao, Zhiye
• Other Authors: School of Civil and Environmental Engineering
• Format: Article
• Language: English
• Published: 2013
• Online Access: https://hdl.handle.net/10356/95952; http://hdl.handle.net/10220/10806
• Institution: Nanyang Technological University

A known problem of partition of unity-based generalized finite element methods is the linear dependence of the approximation space, which leads to singular stiffness matrix. Up to now, the linear dependence problem has not been fully understood and an efficient way to alleviate it is not available....