Meshfree methods : moving beyond the finite element method

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Meshfree methods : moving beyond the finite element method

G.R. Liu

CRC , Taylor & Francis [distributor], c2010

2nd ed

Available at  / 12 libraries

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Includes bibliographical references and index

Description and Table of Contents

Description

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: liugr@ucmail.uc.edu Dr. Liu will reply to you directly with the code, and you can then proceed to use the software.

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 (c). Index.

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