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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イーブック ¥15,724
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-06173-9
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ハードカバー ¥19,655
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-06172-2
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この書籍について

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)

書籍の購入

イーブック ¥15,724
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-06173-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: EPUB, PDF
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥19,655
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-06172-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
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書誌情報

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
イーブック ISBN
978-3-030-06173-9
DOI
10.1007/978-3-030-06173-9
ハードカバー 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