TY - JOUR
T1 - A boundary element-free method (BEFM) for three-dimensional elasticity problems
AU - Kitipornchai, S.
AU - Liew, K. M.
AU - Cheng, Y.
PY - 2005/6
Y1 - 2005/6
N2 - 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. © Springer-Verlag 2005.
AB - 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. © Springer-Verlag 2005.
KW - Boundary element-free method (BEFM)
KW - Boundary integral equation
KW - Compact support domain
KW - Elasticity
KW - Improved moving least-squares (IMLS) approximation
KW - Meshless method
KW - Moving least-squares (MLS) approximation
KW - Weight function
KW - Weighted orthogonal function
UR - http://www.scopus.com/inward/record.url?scp=17744365462&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-17744365462&origin=recordpage
U2 - 10.1007/s00466-004-0638-1
DO - 10.1007/s00466-004-0638-1
M3 - RGC 21 - Publication in refereed journal
VL - 36
SP - 13
EP - 20
JO - Computational Mechanics
JF - Computational Mechanics
SN - 0178-7675
IS - 1
ER -