The meshless method )MLPG( for domain & BIE discretizations
Forsyth, GA
Tech Science Press
c2004
x, 677 p. : ill
CREST.
"Recently, two truly meshless methods, the meshless local boundary integral equation )LBIE( method, and the meshless local Petrov-Galerkin )MLPG( method, have been developed...In fact, the LBIE approach can be treated simply as a special case of the MLPG approach"--Introduction )p. 3(
Includes bibliographical references
Satya N. Atluri
I. Global weak forms, weighted residuals, finite elements, boundary elements & local weak forms -- II. Meshless interpolations of trial & test functions -- III. The MLPG method for domain discretization -- IV. The MLPG method for the ddiscretization of boundary integral equations )BIE( -- V. The MLPG in solid mechanics -- VI. Application of the MLPG in fluid mechanics -- VII. Application of the MLPG in strain gradient theories of material behavior, nanotechnology, and multi-scale modeling