Error Estimates for Advanced Galerkin Methods

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...

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Bibliographic Details
Main Author: Rüter, Marcus Olavi (Author)
Corporate Author: SpringerLink (Online service)
Format: e-Book
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
Edition:1st ed. 2019.
Series:Lecture Notes in Applied and Computational Mechanics, 88
Subjects:
Mechanics, Applied.
Solids.
Mathematics > Data processing.
Computational intelligence.
Solid Mechanics.
Computational Science and Engineering.
Computational Intelligence.
Online Access:Full-text access
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Table of Contents:
  • Introduction
  • Newtonian and Eshelbian Mechanics
  • Boundary Value Problems
  • Galerkin Methods
  • Numerical Integration
  • Energy Norm A Posteriori Error Estimates
  • Goal-oriented A Posteriori Error Estimates in Linearized Elasticity
  • Goal-oriented A Posteriori Error Estimates in Finite Hyperelasticity
  • Numerical Examples
  • The Nonstandard Dyadic Product Operators
  • Push-forward and Pull-back Operations
  • Tensor derivatives
  • A Generalized Nitsche Method
  • The J-integral in Elastic FractureMechanics
  • Linearizations
  • Materials investigated in this monograph
  • Functional Analysis-A Synopsis.

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