Liu, G.R.

An Introduction to Meshfree Methods and Their Programming [electronic resource] / by G.R. Liu, Y.T. Gu. - Dordrecht : Springer Netherlands, 2005. - XX, 480 p. online resource.

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.

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 methods. Typical meshfree methods, such as EFG, RPIM, MLPG, LRPIM, MWS and collocation methods are then introduced systematically detailing the formulation, numerical implementation and programming. Many well-tested computer source codes developed by the authors are attached with useful descriptions. The application of the codes can be readily performed using the examples with input and output files given in table form. These codes consist of most of the basic meshfree techniques, and can be easily extended to other variations of more complex procedures of meshfree methods. Readers can easily practice with the codes provided to effective learn and comprehend the basics of meshfree methods.


10.1007/1-4020-3468-7 doi

Computer science.
Computer aided design.
Computer science--Mathematics.
Engineering mathematics.
Mechanical engineering.
Appl.Mathematics/Computational Methods of Engineering.
Mathematics of Computing.
Computer-Aided Engineering (CAD, CAE) and Design.
Computational Mathematics and Numerical Analysis.
Continuum Mechanics and Mechanics of Materials.
Structural Mechanics.

TA329-348 TA640-643


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