Finite Element and Meshless Methods in Computational Mechanics

Authors: Batra, Romesh C.

  • Only textbook that provides an in-depth analysis of both the finite element and meshless methods, discussing their similarities and differences, and evaluating their relative advantages
  • Describes the methods for applying each modeling technique to one-, two-, and three-dimensional problems
  • Discusses the tradeoffs associated with achieving model accuracy and model stability - Provides techniques to verify computed solutions and calculate and measure error
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eBook  
  • ISBN 978-1-4419-5683-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover ca. $149.00
price for USA
  • Due: January 26, 2018
  • ISBN 978-1-4419-5682-8
  • Free shipping for individuals worldwide
About this Textbook

The finite element and meshless methods are numerical simulation algorithms used to mathematically model physical phenomena. The finite element method relies on the creation of an underlying simplex structure in the region that is being modeled. By specifying these finite elements, a rough model can be developed that can be used to generate approximate solutions while requiring minimal processor time. The meshless method eliminates these finite elements and instead generates a dynamic model from a particle perspective using a complex matrix of integral equations to define the properties of the region being modeled. Without the limitations of the simplex structure, the model can account for large deformations, advanced materials, complex geometries, nonlinear behavior, and discontinuities. However, this utility results in a significant increase in the computational time that is require to generate a solution.
Application of these techniques extends to all areas of computational physics, engineering, and mechanics.

Although several textbooks exist on the topic of the finite element method and there are some that focus specifically on the meshless method, this is the first textbook to describe both modeling techniques in detail and evaluate their relative advantages.

Buy this book

eBook  
  • ISBN 978-1-4419-5683-5
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover ca. $149.00
price for USA
  • Due: January 26, 2018
  • ISBN 978-1-4419-5682-8
  • Free shipping for individuals worldwide

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Bibliographic Information

Bibliographic Information
Book Title
Finite Element and Meshless Methods in Computational Mechanics
Authors
Copyright
2018
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-5683-5
Hardcover ISBN
978-1-4419-5682-8
Edition Number
1
Number of Illustrations and Tables
70 b/w illustrations
Topics