THE Meshless Method (MLPG) for Domain and BIE Discretizations

This monograph is a sequel to: " The Meshless Local Petrov-Galerkin (MLPG) Method", by S. N. Atluri, and S. Shen, published in 2002. In the intervening two years, much has been accomplished by a number of researchers world-wide, in the further development & application of the meshless method (MLPG) to problems in three-dimensional solid mechanics, beams, plates and shells; and in the seamless modeling of multi-scale phenomena in nano and micro engineering. In addition to providing a summary of these accomplishments, an important feature of the current comprehensive monograph is the presentation of meshless methods to discretize the boundary-integral-equations in mechanics. Thus, the present monograph presents, for the first time, a detailed summary of research on the next generation of computational methods in engineering & the sciences, that go beyond the mesh-based finite-element & boundary-element methods that were so successfully developed in the final two decades of the last century.