An Introduction to Meshfree Methods and Their Programming

• Main Authors: Liu, G.R (Author), Gu, Y.T (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2005.
• Subjects: 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 meth...

Table of Contents:

• 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.