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Title Verifying calculations-- forty years on : an overview of classical verification techniques for FEM simulations / Ludovic Chamoin, Pedro Díez, editors
Published Cham : Springer, 2016
©2016

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Description 1 online resource
Series SpringerBriefs in applied sciences and technology
SpringerBriefs in applied sciences and technology.
Contents Preface, by Ludovic Chamoin and Pedro Díez -- Explicit Residual Methods, by Yvon Maday -- Residual type error estimators, by Antonio Huerta and Pedro Díez -- Fundaments of recovery-based error estimation and bounding, by E. Nadal and J.J. Ródenas -- The Constitutive Relation Error Method: a general verification tool, by Pierre Ladevèze and Ludovic Chamoin
Summary 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
Analysis mechanica
mechanics
engineering
computational science
simulatiemodellen
simulation models
Engineering (General)
Techniek (algemeen)
Bibliography Includes bibliographical references
Notes English
Online resource; title from PDF title page (EBSCO, viewed August 11, 2015)
Subject Materials -- Mathematical models
Numerical analysis.
Computer modelling & simulation.
Maths for scientists.
Mechanics of solids.
TECHNOLOGY & ENGINEERING -- Engineering (General)
TECHNOLOGY & ENGINEERING -- Reference.
Materials -- Mathematical models
Numerical analysis
Form Electronic book
Author Chamoin, Ludovic, editor
Díez, Pedro, editor
ISBN 9783319205533
3319205536
3319205528
9783319205526