TY - BOOK AU - Liu,G.R. AU - Gu,Y.T. ED - SpringerLink (Online service) TI - An Introduction to Meshfree Methods and Their Programming SN - 9781402034688 U1 - 519 23 PY - 2005/// CY - Dordrecht PB - Springer Netherlands KW - ENGINEERING KW - COMPUTER SCIENCE KW - COMPUTER AIDED DESIGN KW - MATHEMATICS KW - ENGINEERING MATHEMATICS KW - MATERIALS KW - MECHANICAL ENGINEERING KW - APPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING KW - MATHEMATICS OF COMPUTING KW - COMPUTER-AIDED ENGINEERING (CAD, CAE) AND DESIGN KW - COMPUTATIONAL MATHEMATICS AND NUMERICAL ANALYSIS KW - CONTINUUM MECHANICS AND MECHANICS OF MATERIALS KW - STRUCTURAL MECHANICS N1 - Fundamentals -- Overview of Meshfree Methods -- Meshfree Shape Function Construction -- Meshfree Methods Based on Global Weak-Forms -- Meshfree Methods Based on Local Weak-Forms -- Meshfree Collocation Methods -- Meshfree Methods Based on Combination of Local Weak-Form and Collocation N2 - This book aims to present meshfree methods in a friendly and straightforward manner, so that beginners can very easily understand, comprehend, program, implement, apply and extend these methods. It provides first the fundamentals of numerical analysis that are particularly important to meshfree methods. Typical meshfree methods, such as EFG, RPIM, MLPG, LRPIM, MWS and collocation methods are then introduced systematically detailing the formulation, numerical implementation and programming. Many well-tested computer source codes developed by the authors are attached with useful descriptions. The application of the codes can be readily performed using the examples with input and output files given in table form. These codes consist of most of the basic meshfree techniques, and can be easily extended to other variations of more complex procedures of meshfree methods. Readers can easily practice with the codes provided to effective learn and comprehend the basics of meshfree methods UR - http://dx.doi.org/10.1007/1-4020-3468-7 ER -