@article{4a549ee0d37f4a2191edd844d3870790, title = "A boundary element-free method (BEFM) for three-dimensional elasticity problems", abstract = "This study combines the boundary integral equation (BIE) method and improved moving least-squares (IMLS) approximation to present a direct meshless boundary integral equation method, the boundary element-free method (BEFM) for three-dimensional elasticity. Based on the improved moving least-squares approximation and the boundary integral equation for three-dimensional elasticity, the formulae of the boundary element-free method are given, and the numerical procedure is also shown. Unlike other meshless boundary integral equation methods, the BEFM is a direct numerical method in which the basic unknown quantity is the real solution of the nodal variables, and the boundary conditions can be applied directly and easily, thus giving it a greater computational precision. Three selected numerical examples are presented to demonstrate the method. {\textcopyright} Springer-Verlag 2005.", keywords = "Boundary element-free method (BEFM), Boundary integral equation, Compact support domain, Elasticity, Improved moving least-squares (IMLS) approximation, Meshless method, Moving least-squares (MLS) approximation, Weight function, Weighted orthogonal function", author = "S. Kitipornchai and Liew, {K. M.} and Y. Cheng", year = "2005", month = jun, doi = "10.1007/s00466-004-0638-1", language = "English", volume = "36", pages = "13--20", journal = "Computational Mechanics", issn = "0178-7675", publisher = "Springer", number = "1", }