Verifying Calculations - Forty Years On: An Overview of Classical Verification Techniques for FEM Simulations

Author:   Ludovic Chamoin ,  Pedro Díez
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
ISBN:  

9783319205526


Pages:   94
Publication Date:   17 August 2015
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Verifying Calculations - Forty Years On: An Overview of Classical Verification Techniques for FEM Simulations


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Overview

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.

Full Product Details

Author:   Ludovic Chamoin ,  Pedro Díez
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 0.60cm , Length: 23.50cm
Weight:   1.897kg
ISBN:  

9783319205526


ISBN 10:   3319205528
Pages:   94
Publication Date:   17 August 2015
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface, by Ludovic Chamoin and Pedro Diez.- Explicit Residual Methods, by Yvon Maday.- Residual type error estimators, by Antonio Huerta and Pedro Diez.- Fundaments of recovery-based error estimation and bounding, by E. Nadal and J.J. Rodenas.- The Constitutive Relation Error Method: a general verification tool, by Pierre Ladeveze and Ludovic Chamoin.

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