Error Estimates for Advanced Galerkin Methods is popular PDF and ePub book, written by Marcus Olavi Rüter in 2019-11-07, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Error Estimates for Advanced Galerkin Methods can be Read Online from any device for your convenience.
Error Estimates for Advanced Galerkin Methods Book PDF Summary
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.
Detail Book of Error Estimates for Advanced Galerkin Methods PDF
- Author : Marcus Olavi Rüter
- Release : 07 November 2019
- Publisher : Springer Nature
- ISBN : 9783030061739
- Genre : Science
- Total Page : 496 pages
- Language : English
- PDF File Size : 19,6 Mb
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