Error Estimates for Advanced Galerkin Methods

Marcus Olavi Rüter

PDF
ca. 142,79
Amazon iTunes Thalia.de Weltbild.de Hugendubel Bücher.de ebook.de kobo Mayersche Osiander Google Books Barnes&Noble bol.com
* Affiliatelinks/Werbelinks
Hinweis: Affiliatelinks/Werbelinks
Links auf reinlesen.de sind sogenannte Affiliate-Links. Wenn du auf so einen Affiliate-Link klickst und über diesen Link einkaufst, bekommt reinlesen.de von dem betreffenden Online-Shop oder Anbieter eine Provision. Für dich verändert sich der Preis nicht.

Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Maschinenbau, Fertigungstechnik

Beschreibung

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.

Weitere Titel von diesem Autor
Weitere Titel zum gleichen Preis

Kundenbewertungen

Schlagwörter

Discretization and Integration Error, Reproducing Kernel Particle Method, Goal-oriented Error Estimation, Enhanced-strain Error Estimation, Finite Element Method, Finite and Linearized Hyperelasticity, Elastic Fracture Mechanics