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An Introduction to Meshfree Methods and Their Programming

By: Liu, G.R [author.].
Contributor(s): Gu, Y.T [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Dordrecht : Springer Netherlands, 2005.Description: XX, 480 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781402034688.Subject(s): Engineering | Computer science -- Mathematics | Computer-aided engineering | Mathematical analysis | Analysis (Mathematics) | Applied mathematics | Engineering mathematics | Computer mathematics | Engineering | Appl.Mathematics/Computational Methods of Engineering | Analysis | Applications of Mathematics | Mathematics of Computing | Computer-Aided Engineering (CAD, CAE) and Design | Computational Mathematics and Numerical AnalysisDDC classification: 519 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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E books E books PK Kelkar Library, IIT Kanpur
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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.

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