Meshless methods and their numerical properties / Hua Li, Shantanu S. Mulay.

Format:

Book

Author/Creator:

Li, Hua, 1956-

Contributor:

Mulay, Shantanu S.

Language:

English

Subjects (All):

Engineering mathematics.

Meshfree methods (Numerical analysis).

Physical Description:

1 online resource (429 p.)

Edition:

1st ed.

Place of Publication:

Boca Raton, Fla. : Taylor & Francis, 2013.

Language Note:

English

Summary:

"This book provides a comprehensive review of meshless approximation methods, an important alternative to the finite element method, which is widely used for numerical analysis of a wide range of engineering problems. The authors discuss the numerical properties and background information for the most important meshless approximation methods and compare them with the corresponding analytical solutions to verify the accuracy of the results. The text presents complete mathematical formulations and numerical properties, such as convergence, consistency, stability, and adaptivity, in detail. An appendix presents flowcharts to aid programmers in using meshless methods"-- Provided by publisher.

Contents:

Front Cover; Contents; Preface; Authors; Chapter 1 - Introduction; Chapter 2 - Formulation of classical meshless methods; Chapter 3 - Recent developments of meshless methods; Chapter 4 - Convergence and consistency analyses; Chapter 5 - Stability analyses; Chapter 6 - Adaptive analysis; Chapter 7 - Engineering applications; Appendix A: Derivation of characteristic polynomial φ(z); Appendix B: Definition of reduced polynomial φτ̔̈ΕΔΕΕ·l(z); Appendix C: Derivation of discretisation equation by Taylor series

Appendix D: Derivation of ratio of successive amplitude reduction values for fixed-fixed beam using explicit and implicit approachesAppendix E: Source code development; References; Back Cover

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

1-04-005488-9

0-429-08658-X

1-4665-1747-6

9780429086588

OCLC:

838418614