@Article{cmes.2003.004.005,
AUTHOR = {Z. D.  Han, S. N.  Atluri},
TITLE = {On Simple Formulations of Weakly-Singular Traction \& Displacement BIE, and Their Solutions through Petrov-Galerkin Approaches},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {4},
YEAR = {2003},
NUMBER = {1},
PAGES = {5--20},
URL = {http://www.techscience.com/CMES/v4n1/24798},
ISSN = {1526-1506},
ABSTRACT = {Using the directly derived non-hyper singular integral equations for displacement gradients [as in Okada, Rajiyah, and Atluri (1989a)], simple and straight-forward derivations of weakly singular traction BIE's for solids undergoing small deformations are presented. A large number of ``intrinsic properties'' of the fundamental solutions in elasticity are developed, and are used in rendering the tBIE and dBIE to be only weakly-singular, in a very simple manner. The solutions of the weakly singular tBIE and dBIE through either global Petrov-Galerkin type ``boundary element methods'', or, alternatively, through the meshless local Petrov-Galerkin (MLPG) methods, are discussed. As special cases, the Galerkin type methods, which lead to symmetric systems of equations, are also discussed.},
DOI = {10.3970/cmes.2003.004.005}
}