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Verifying calculations - forty years...

Chamoin, Ludovic.

Verifying calculations - forty years onan overview of classical verification techniques for FEM simulations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Verifying calculations - forty years onedited by Ludovic Chamoin, Pedro Diez.
Reminder of title:	an overview of classical verification techniques for FEM simulations /
other author:	Chamoin, Ludovic.
Published:	Cham :Springer International Publishing :2016.
Description:	vii, 94 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	MaterialsMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-319-20553-3
ISBN:	9783319205533$q(electronic bk.)

Verifying calculations - forty years onan overview of classical verification techniques for FEM simulations /
Verifying calculations - forty years onan overview of classical verification techniques for FEM simulations /[electronic resource] :edited by Ludovic Chamoin, Pedro Diez. - Cham :Springer International Publishing :2016. - vii, 94 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology,2191-530X. - SpringerBriefs in applied sciences and technology..

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. Ródenas -- The Constitutive Relation Error Method: a general verification tool, by Pierre Ladeveze and Ludovic Chamoin.

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.

ISBN: 9783319205533$q(electronic bk.)

Standard No.: 10.1007/978-3-319-20553-3doiSubjects--Topical Terms:

229814
Materials
--Mathematical models.

LC Class. No.: TA404.8

Dewey Class. No.: 620.11

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520 $a 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.
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