國立虎尾科技大學 |

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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Verifying Calculations - Forty Years On/ edited by Ludovic Chamoin, Pedro Díez.
Reminder of title:	An Overview of Classical Verification Techniques for FEM Simulations /
other author:	Chamoin, Ludovic.
Description:	VII, 94 p. 20 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mechanics. -
Online resource:	https://doi.org/10.1007/978-3-319-20553-3
ISBN:	9783319205533

Verifying Calculations - Forty Years On = An 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 Díez. - 1st ed. 2016. - VII, 94 p. 20 illus.online resource. - SpringerBriefs in Applied Sciences and Technology,2191-530X. - SpringerBriefs in Applied Sciences and Technology,.

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.

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

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

527684
Mechanics.

LC Class. No.: TA349-359

Dewey Class. No.: 620.1

Verifying Calculations - Forty Years On = An Overview of Classical Verification Techniques for FEM Simulations /
LDR:02772nam a22003975i 4500 001 978472
003 DE-He213
005 20200703121555.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319205533 $9 978-3-319-20553-3
024 7 $a 10.1007/978-3-319-20553-3 $2 doi
035 $a 978-3-319-20553-3
050 4 $a TA349-359
072 7 $a TGMD $2 bicssc
072 7 $a TEC009070 $2 bisacsh
072 7 $a TGMD $2 thema
082 0 4 $a 620.1 $2 23
245 1 0 $a Verifying Calculations - Forty Years On $h [electronic resource] : $b An Overview of Classical Verification Techniques for FEM Simulations / $c edited by Ludovic Chamoin, Pedro Díez.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a VII, 94 p. 20 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a SpringerBriefs in Applied Sciences and Technology, $x 2191-530X
505 0 $a 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.
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.
650 0 $a Mechanics. $3 527684
650 0 $a Mechanics, Applied. $3 596630
650 0 $a Computer simulation. $3 560190
650 0 $a Computer mathematics. $3 1199796
650 1 4 $a Theoretical and Applied Mechanics. $3 670861
650 2 4 $a Simulation and Modeling. $3 669249
650 2 4 $a Computational Science and Engineering. $3 670319
700 1 $a Chamoin, Ludovic. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1101830
700 1 $a Díez, Pedro. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1271911
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319205526
776 0 8 $i Printed edition: $z 9783319205540
830 0 $a SpringerBriefs in Applied Sciences and Technology, $x 2191-530X $3 1253575
856 4 0 $u https://doi.org/10.1007/978-3-319-20553-3
912 $a ZDB-2-ENG
912 $a ZDB-2-SXE
950 $a Engineering (SpringerNature-11647)
950 $a Engineering (R0) (SpringerNature-43712)