Marcus Olavi R?ter Error Estimates for Advanced Galerkin Methods 9783030061722

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Автор: Marcus Olavi R?ter
Название: Error Estimates for Advanced Galerkin Methods
ISBN: 9783030061722
Издательство: Springer
Классификация:

Вычислительная математика

Механика твердых тел

Искусственный интеллект

ISBN-10: 3030061728
Обложка/Формат: Hardcover
Страницы: 496
Вес: 0.93 кг.
Дата издания: 2019
Серия: Lecture Notes in Applied and Computational Mechanics
Язык: English
Издание: 1st ed. 2019
Иллюстрации: 179 illustrations, color; 587 illustrations, black and white; xiv, 496 p. 766 illus., 179 illus. in color.
Размер: 234 x 156 x 29
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.
Дополнительное описание: 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 Poster

Error Estimates for Advanced Galerkin Methods, Marcus Olavi R?ter