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Error Estimates for Advanced Galerkin Methods

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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.

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Inventory Code Barcode Call Number Location Status
1908001817EB0002451518.63 Rut eCentral LibraryAvailable
Detail Information
Series Title
Lecture Notes in Applied and Computational Mechanics
Call Number
518.63 Rut e
Publisher
Switzerland : Springer Cham.,
Collation
xiv, 496p.:Ill
Language
English
ISBN/ISSN
978-3-030-06173-9
Classification
518.63
Content Type
Ebook
Media Type
-
Carrier Type
online resource
Edition
1
Subject(s)
Galerkin methods
Specific Detail Info
-
Statement of Responsibility
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