An Introduction to Meshfree Methods and Their Programming

An Introduction to Meshfree Methods and Their Programming
Author :
Publisher : Springer Science & Business Media
Total Pages : 497
Release :
ISBN-10 : 9781402034688
ISBN-13 : 1402034687
Rating : 4/5 (687 Downloads)

Book Synopsis An Introduction to Meshfree Methods and Their Programming by : G.R. Liu

Download or read book An Introduction to Meshfree Methods and Their Programming written by G.R. Liu and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree or meshless method is one such phenomenal development in the past decade, and is the subject of this book. There are many MFree methods proposed so far for different applications. Currently, three monographs on MFree methods have been published. Mesh Free Methods, Moving Beyond the Finite Element Method d by GR Liu (2002) provides a systematic discussion on basic theories, fundamentals for MFree methods, especially on MFree weak-form methods. It provides a comprehensive record of well-known MFree methods and the wide coverage of applications of MFree methods to problems of solids mechanics (solids, beams, plates, shells, etc.) as well as fluid mechanics. The Meshless Local Petrov-Galerkin (MLPG) Method d by Atluri and Shen (2002) provides detailed discussions of the meshfree local Petrov-Galerkin (MLPG) method and itsvariations. Formulations and applications of MLPG are well addressed in their book.


An Introduction to Meshfree Methods and Their Programming Related Books

An Introduction to Meshfree Methods and Their Programming
Language: en
Pages: 497
Authors: G.R. Liu
Categories: Technology & Engineering
Type: BOOK - Published: 2005-12-05 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was
Mesh Free Methods
Language: en
Pages: 715
Authors: G.R. Liu
Categories: Mathematics
Type: BOOK - Published: 2002-07-29 - Publisher: CRC Press

DOWNLOAD EBOOK

As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method u
Extended Finite Element and Meshfree Methods
Language: en
Pages: 640
Authors: Timon Rabczuk
Categories: Technology & Engineering
Type: BOOK - Published: 2019-11-13 - Publisher: Academic Press

DOWNLOAD EBOOK

Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applicat
Meshfree Particle Methods
Language: en
Pages: 509
Authors: Shaofan Li
Categories: Mathematics
Type: BOOK - Published: 2007-03-07 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Meshfree Particle Methods is a comprehensive and systematic exposition of particle methods, meshfree Galerkin and partitition of unity methods, molecular dynami
Meshfree Methods for Partial Differential Equations
Language: en
Pages: 468
Authors: Michael Griebel
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathemati