An Introduction to Meshfree Methods and Their Programming

"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. First it provides 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."--Résumé de l'éditeur.

Titre de l'écran-titre (visionné le 2 juillet 2008).

Cover -- Dedication -- Table of Contents -- Preface -- Authors -- Chapter 1 Fundamentals -- 1.1 Numerical simulation -- 1.2 Basics of mechanics for solids -- 1.3 Strong-forms and weak-forms -- 1.4 Weighted residual method -- 1.5 Global weak-form for solids -- 1.6 Local weak-form for solids -- 1.7 Discussions and remarks -- Chapter 2 Overview of meshfree methods -- 2.1 Why Meshfree methods -- 2.2 Definition of Meshfree methods -- 2.3 Solution procedure of MFree methods -- 2.4 Categories of Meshfree methods -- 2.5 Future development -- Chapter 3 Meshfree shape function construction -- 3.1 Introduction -- 3.2 Point interpolation methods -- 3.3 Moving least squares shape functions -- 3.4 Interpolation error using Meshfree shape functions -- 3.5 Remarks -- Appendix -- Computer programs -- Chapter 4 Meshfree methods based on global weak-forms -- 4.1 Introduction -- 4.2 Meshfree radial point interpolation method -- 4.3 Element Free Galerkin method -- 4.4 Source code -- 4.5 Example for two-dimensional solids ... a cantilever beam -- 4.6 Example for 3D solids -- 4.7 Examples for geometrically nonlinear problems -- 4.8 MFree2DÃ -- 4.9 Remarks -- Appendix -- Computer programs -- Chapter 5 Me…