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Meshless methods and their numerical properties [electronic resource] / Hua Li, Shantanu S. Mulay.

By: Contributor(s): Material type: TextTextPublication details: Boca Raton, Fla. : CRC Press, 2013.Description: xviii, 429 p. : illISBN:
  • 9781466517479 (ebook : PDF)
Subject(s): Genre/Form: Additional physical formats: No titleOnline resources: Available additional physical forms:
  • Also available in print edition.
Contents:
1. Introduction -- 2. Formulation of classical meshless methods -- 3. Recent developments of meshless methods -- 4. Convergence and consistency analyses -- 5. Stability analyses -- 6. Adaptive analysis -- 7. Engineering applications.
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.
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Includes bibliographical references (p. 395-408) and index.

1. Introduction -- 2. Formulation of classical meshless methods -- 3. Recent developments of meshless methods -- 4. Convergence and consistency analyses -- 5. Stability analyses -- 6. Adaptive analysis -- 7. Engineering applications.

"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.

Also available in print edition.

Mode of access: World Wide Web.

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