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Lecture Notes in Applied and Computational Mechanics

Error Estimates for Advanced Galerkin Methods

Authors: Rüter, Marcus Olavi

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  • Sheds light on various aspects of the error estimation procedures, as well as on nonlinear problems within the framework of finite hyperelasticity
  • Showcases comparative numerical examples for problems in elastic fracture mechanics
  • Provides a comprehensive compendium, from continuum mechanics, boundary value problems and their discretization, as well as numerical integration into error estimation procedures
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  • ISBN 978-3-030-06173-9
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  • ISBN 978-3-030-06172-2
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About this book

This monograph provides a compendium of established and novel error estimation procedures applied in the field of Computational Mechanics. It also includes detailed derivations of these procedures to offer insights into the concepts used to control the errors obtained from employing Galerkin methods in finite and linearized hyperelasticity. The Galerkin methods introduced are considered advanced methods because they remedy certain shortcomings of the well-established finite element method, which is the archetypal Galerkin (mesh-based) method. In particular, this monograph focuses on the systematical derivation of the shape functions used to construct both Galerkin mesh-based and meshfree methods. The mesh-based methods considered are the (conventional) displacement-based, (dual-)mixed, smoothed, and extended finite element methods. In addition, it introduces the element-free Galerkin and reproducing kernel particle methods as representatives of a class of Galerkin meshfree methods. Including illustrative numerical examples relevant to engineering with an emphasis on elastic fracture mechanics problems, this monograph is intended for students, researchers, and practitioners aiming to increase the reliability of their numerical simulations and wanting to better grasp the concepts of Galerkin methods and associated error estimation procedures.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 117,69 €
price for Spain (gross)
  • ISBN 978-3-030-06173-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-3-030-06172-2
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Error Estimates for Advanced Galerkin Methods
Authors
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
88
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-06173-9
DOI
10.1007/978-3-030-06173-9
Hardcover ISBN
978-3-030-06172-2
Series ISSN
1613-7736
Edition Number
1
Number of Pages
XIV, 496
Number of Illustrations
587 b/w illustrations, 179 illustrations in colour
Topics

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