An Introduction to Meshfree Methods and Their Programming

An Introduction to Meshfree Methods and Their Programming

Author
G.R. Liu, Y.T. Gu
Publication Year
2005
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Engineering

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.


Keywords: Engineering / 3D / Boundary value problem / Computer / Simulation / Calculus / Construction / Linear optimization / Mechanics / Numerical analysis / Programming