| 书目名称 | Error Estimates for Advanced Galerkin Methods | | 编辑 | Marcus Olavi Rüter | | 视频video | | | 概述 | Sheds light on various aspects of the error estimation procedures, as well as on nonlinear problems within the framework of finite hyperelasticity.Showcases comparative numerical examples for problems | | 丛书名称 | Lecture Notes in Applied and Computational Mechanics | | 图书封面 |  | | 描述 | 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 t | | 出版日期 | Book 2019 | | 关键词 | Elastic Fracture Mechanics; Enhanced-strain Error Estimation; Finite Element Method; Reproducing Kernel | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-06173-9 | | isbn_ebook | 978-3-030-06173-9Series ISSN 1613-7736 Series E-ISSN 1860-0816 | | issn_series | 1613-7736 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 19:24:44
