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Titlebook: Error Estimates for Advanced Galerkin Methods; Marcus Olavi Rüter Book 2019 Springer Nature Switzerland AG 2019 Elastic Fracture Mechanics

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發(fā)表于 2025-3-21 19:24:44 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Error Estimates for Advanced Galerkin Methods
編輯Marcus Olavi Rüter
視頻videohttp://file.papertrans.cn/315/314922/314922.mp4
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
叢書名稱Lecture Notes in Applied and Computational Mechanics
圖書封面Titlebook: Error Estimates for Advanced Galerkin Methods;  Marcus Olavi Rüter Book 2019 Springer Nature Switzerland AG 2019 Elastic Fracture Mechanics
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
關(guān)鍵詞Elastic Fracture Mechanics; Enhanced-strain Error Estimation; Finite Element Method; Reproducing Kernel
版次1
doihttps://doi.org/10.1007/978-3-030-06173-9
isbn_ebook978-3-030-06173-9Series ISSN 1613-7736 Series E-ISSN 1860-0816
issn_series 1613-7736
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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發(fā)表于 2025-3-21 23:34:38 | 只看該作者
1613-7736 thods. 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 t978-3-030-06173-9Series ISSN 1613-7736 Series E-ISSN 1860-0816
板凳
發(fā)表于 2025-3-22 02:22:14 | 只看該作者
Newtonian and Eshelbian Mechanics, initial configuration (of the forward problem) is termed the (material) Eshelby stress. In this chapter, the stress tensors that naturally appear in both Newtonian and Eshelbian mechanics are systematically derived for both compressible and (nearly) incompressible materials.
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發(fā)表于 2025-3-22 04:59:35 | 只看該作者
Boundary Value Problems, a pointwise sense. Moreover, integration by parts reduces the differentiability requirements for the functions involved in the weak forms. These are the key ingredients needed to develop numerical methods of the Galerkin type, as will be presented in the subsequent chapter.
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發(fā)表于 2025-3-22 12:13:18 | 只看該作者
Goal-oriented A Posteriori Error Estimates in Linearized Elasticity,antity of interest, a so-called dual problem needs to be solved in addition to the primal problem, which is, in this chapter, the conventional linearized elasticity problem. Moreover, a multi-space strategy is introduced that can use used to solve the dual problem on a different mesh or particle dis
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https://doi.org/10.1007/978-1-4684-4037-9antity of interest, a so-called dual problem needs to be solved in addition to the primal problem, which is, in this chapter, the conventional linearized elasticity problem. Moreover, a multi-space strategy is introduced that can use used to solve the dual problem on a different mesh or particle dis
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