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Titlebook: Verifying Calculations - Forty Years On; An Overview of Class Ludovic Chamoin,Pedro Díez Book 2016 The Author(s) 2016 A Posteriori Error Es

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書目名稱Verifying Calculations - Forty Years On
副標(biāo)題An Overview of Class
編輯Ludovic Chamoin,Pedro Díez
視頻videohttp://file.papertrans.cn/982/981757/981757.mp4
概述The methods are presented in a pedagogically sound way to promote easy learning.Written from the point of view of both engineering and applied mathematics.Illustrated with a wide and relevant set of a
叢書名稱SpringerBriefs in Applied Sciences and Technology
圖書封面Titlebook: Verifying Calculations - Forty Years On; An Overview of Class Ludovic Chamoin,Pedro Díez Book 2016 The Author(s) 2016 A Posteriori Error Es
描述.This work provides an overview of .a posteriori .error assessment techniques for Finite Element (FE) based numerical models. These tools aim at estimating and controlling the discretization error in scientific computational models, being the basis for the numerical verification of the FE solutions. The text discusses?the capabilities and limitations of classical methods?to build error estimates which can be used to control the quality of numerical simulations and drive adaptive algorithms, with a focus on Computational Mechanics engineering applications. Fundamentals principles of residual methods, smoothing (recovery) methods, and constitutive relation error (duality based) methods are thus addressed along the manuscript. Attention is paid to recent advances and forthcoming research challenges on related topics. ?The book constitutes a useful guide for students, researchers, or engineers wishing to acquire insights into state-of-the-art techniques for numerical verification..
出版日期Book 2016
關(guān)鍵詞A Posteriori Error Estimation; Adaptive Techniques; Computational Mechanics; Finite Element Method; Nume
版次1
doihttps://doi.org/10.1007/978-3-319-20553-3
isbn_softcover978-3-319-20552-6
isbn_ebook978-3-319-20553-3Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Author(s) 2016
The information of publication is updating

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The Constitutive Relation Error Method: A General Verification Tool,This chapter reviews the Constitutive Relation Error method as a general verification tool which is very suitable to compute strict and effective error bounds for linear and more generally convex Structural Mechanics problems. The review is focused on the basic features of the method and the most recent developments.
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Ludovic Chamoin,Pedro DíezThe methods are presented in a pedagogically sound way to promote easy learning.Written from the point of view of both engineering and applied mathematics.Illustrated with a wide and relevant set of a
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Fundaments of Recovery-Based Error Estimation and Bounding,ed in three main groups: (i) residual-based error estimators, (ii) dual techniques and (iii) recovery-based error estimators. In this work we will introduce the main ideas of the recovery-based error estimators.
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Yvon Maday. Expertise in in- direct ophthalmoscopy, scleral depression, and contact lens biomicroscopy serves as a basis for observing the peripheral retina. These observations are then re- corded on fundus drawing paper and the Tolentino vitreo-retinal chart. This or- derly sequence of skills allows the opht
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