An Introduction to Meshfree Methods and Their Programming

• Κύριοι συγγραφείς: Liu, G.R (Συγγραφέας), Gu, Y.T (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2005.
• Θέματα: Engineering.; Computer science > Mathematics.; Computer-aided engineering.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Analysis.; Applications of Mathematics.; Mathematics of Computing.; Computer-Aided Engineering (CAD, CAE) and Design.; Computational Mathematics and Numerical Analysis.

 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. 

 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.