Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition

by G.R. Liu

Overview

Understand How to Use and Develop Meshfree Techniques
An Update of a Groundbreaking Work

Reflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods. With 70% new material, this edition addresses important new developments, especially on essential theoretical issues.

New to the Second Edition

• Much more details on fundamental concepts and important theories for numerical methods
• Discussions on special properties of meshfree methods, including stability, convergence, accurate, efficiency, and bound property
• More detailed discussion on error estimation and adaptive analysis using meshfree methods
• Developments on combined meshfree/finite element method (FEM) models
• Comparison studies using meshfree and FEM

Drawing on the author’s own research, this book provides a single-source guide to meshfree techniques and theories that can effectively handle a variety of complex engineering problems. It analyzes how the methods work, explains how to use and develop the methods, and explores the problems associated with meshfree methods.

To access MFree2D (copyright, G. R. Liu), which accompanies MESHFREE METHODS: MOVING BEYOND THE FINITE ELEMENT METHOD, Second Edition (978-1-4200-8209-8) by Dr. G. R. Liu, please go to the website: www.ase.uc.edu/~liugr

An access code is needed to use program – to receive it please email Dr. Liu directly at: [e-mail]

Dr. Liu will reply to you directly with the code, and you can then proceed to use the software.

Product Details

ISBN-13:	9781420082098
Publisher:	Taylor & Francis
Publication date:	10/06/2009
Edition description:	New Edition
Pages:	792
Product dimensions:	7.00(w) x 10.10(h) x 1.60(d)

About the Author

G.R. Liu is the director of the Centre for Advanced Computations in Engineering Science (ACES) and professor in the Department of Mechanical Engineering at the National University of Singapore.

Table of Contents

Preliminaries. Meshfree Shape Function Construction. Function Spaces for Meshfree Methods. Strain Field Construction. Weak and Weakened Weak Formulations. Element Free Galerkin Method. Meshless Local Petrov–Galerkin Method. Point Interpolation Methods. Meshfree Methods for Fluid Dynamics Problem. Meshfree Methods for Beams. Meshfree Methods for Plates. Meshfree Methods for Shells. Boundary Meshfree Methods. Meshfree Methods Coupled with Other Methods. Meshfree Methods for Adaptive Analysis. MFree2D^©. Index.

Editorial Reviews

Praise for the First Edition:

"This book addresses some of the current important issues, both positive and negative, related to mesh free methods, which should prove beneficial to researchers, engineers, and students who are interested in venturing into this area of research. … This is the first book published that comprehensively covers mesh free methods."
—Zentralblatt MATH, Vol. 1031 (2004/06)

From the Publisher