The Meshless Local Petrov-Galerkin (MLPG) Method
Author : Satya N. Atluri
Publisher : Crest
Page : 448 pages
File Size : 16,37 MB
Release : 2002
Category : Mathematics
ISBN :
An Introduction to Meshfree Methods and Their Programming
Author : G.R. Liu
Publisher : Springer Science & Business Media
Page : 497 pages
File Size : 17,1 MB
Release : 2005-12-05
Category : Technology & Engineering
ISBN : 1402034687
Book Description
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.
Meshless Local Petrov-Galerkin Method for Bending Problems
Author : Dawn R. Phillips
Publisher :
Page : 166 pages
File Size : 42,22 MB
Release : 2002
Category : Beam dynamics
ISBN :
Book Description
American Society for Composites / American Society for Testing And Materials Committee D30
Author : Erian Armanios
Publisher : DEStech Publications, Inc
Page : 1464 pages
File Size : 27,30 MB
Release : 2004-10
Category : Technology & Engineering
ISBN : 1932078444
Book Description
Highlights the recent developments in the fundamental understanding of composites; important information for researchers and composite scientists.
Numerical Methods in Mechanics of Materials
Author : Ken P. Chong
Publisher : CRC Press
Page : 318 pages
File Size : 14,40 MB
Release : 2017-11-27
Category : Technology & Engineering
ISBN : 1351380990
Book Description
In the dynamic digital age, the widespread use of computers has transformed engineering and science. A realistic and successful solution of an engineering problem usually begins with an accurate physical model of the problem and a proper understanding of the assumptions employed. With computers and appropriate software we can model and analyze complex physical systems and problems. However, efficient and accurate use of numerical results obtained from computer programs requires considerable background and advanced working knowledge to avoid blunders and the blind acceptance of computer results. This book provides the background and knowledge necessary to avoid these pitfalls, especially the most commonly used numerical methods employed in the solution of physical problems. It offers an in-depth presentation of the numerical methods for scales from nano to macro in nine self-contained chapters with extensive problems and up-to-date references, covering: Trends and new developments in simulation and computation Weighted residuals methods Finite difference methods Finite element methods Finite strip/layer/prism methods Boundary element methods Meshless methods Molecular dynamics Multiphysics problems Multiscale methods
Boundary Elements and Other Mesh Reduction Methods XXXVIII
Author : A.H-D. Cheng
Publisher : WIT Press
Page : 361 pages
File Size : 25,83 MB
Release : 2015-11-16
Category : Mathematics
ISBN : 1784660272
Book Description
Containing the latest in a long line of conferences covering the most recent advances in Boundary Elements and Mesh Reduction Methods (BEM/MRM), this book contains an important chapter in the history of this important method used in science and engineering. The BEM/MRM conference has long been recognised as THE international forum on the technique. The proceedings of the conference therefore constitute a record of the development of the method, running from the initial successful development of boundary integral techniques into the BEM, a method that eliminates the need for an internal mesh, to the recent and most sophisticated Mesh Reduction and even Meshless Methods. Since the boundary elements, mesh reduction, and meshless methods are used in many engineering and scientific fields, the book will be of great interest to all engineers and scientists working within the areas of numerical analysis, boundary elements and meshless methods. Topics covered include: Advanced formulations; Advanced meshless and mesh reduction methods; Structural mechanics applications; Solid mechanics; Heat and mass transfer, Electrical engineering and electromagnetics; Computational methods; Fluid flow modelling; Damage mechanics and fracture; Dynamics and Vibrations Engineering applications.
Meshfree Methods
Author : G.R. Liu
Publisher : CRC Press
Page : 772 pages
File Size : 46,41 MB
Release : 2009-10-06
Category : Mathematics
ISBN : 1420082108
Book Description
Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking WorkReflecting 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 edit
Numerical Methods in Geotechnical Engineering
Author : Thomas Benz
Publisher : CRC Press
Page : 970 pages
File Size : 11,83 MB
Release : 2010-05-25
Category : Technology & Engineering
ISBN : 0203842367
Book Description
Numerical Methods in Geotechnical Engineering contains 153 scientific papers presented at the 7th European Conference on Numerical Methods in Geotechnical Engineering, NUMGE 2010, held at Norwegian University of Science and Technology (NTNU) in Trondheim, Norway, 2 4 June 2010.The contributions cover topics from emerging research to engineering pra
Meshless Methods in Solid Mechanics
Author : Youping Chen
Publisher : Springer Science & Business Media
Page : 211 pages
File Size : 24,52 MB
Release : 2006-12-31
Category : Science
ISBN : 0387333681
Book Description
This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.
Meshfree Methods for Partial Differential Equations III
Author : Michael Griebel
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 49,34 MB
Release : 2007-07-18
Category : Mathematics
ISBN : 3540462228
Book Description
Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. This volume represents the state-of-the-art in meshfree methods. It consists of articles which address the different meshfree techniques, their mathematical properties and their application in applied mathematics, physics and engineering.
