Error Estimates for Advanced Galerkin Methods (eBook)

Marcus Olavi Rüter (Autor)

eBook Download: PDF

2019 | 1st ed. 2019
XIV, 496 Seiten
Springer International Publishing (Verlag)
978-3-030-06173-9 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 7.11.2019
• Reihe/Serie: Lecture Notes in Applied and Computational Mechanics
• Reihe/Serie: Lecture Notes in Applied and Computational Mechanics
• Zusatzinfo: XIV, 496 p. 766 illus., 179 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Technik ► Bauwesen
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: Discretization and Integration Error • Elastic Fracture Mechanics • Enhanced-strain Error Estimation • Finite and Linearized Hyperelasticity • Finite Element Method • Goal-oriented error estimation • Reproducing Kernel Particle Method
• ISBN-10: 3-030-06173-6 / 3030061736
• ISBN-13: 978-3-030-06173-9 / 9783030061739