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Verifying Calculations - Forty Years On

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This work provides an overview of a posteriori error assessment techniques for Finite Element (FE) based numerical models. These t... Weiterlesen
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Beschreibung

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 discussesthe capabilities and limitations of classical methodsto 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.



Klappentext

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.



Inhalt

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.

Produktinformationen

Titel: Verifying Calculations - Forty Years On
Untertitel: An Overview of Classical Verification Techniques for FEM Simulations
Editor:
EAN: 9783319205533
ISBN: 978-3-319-20553-3
Digitaler Kopierschutz: Wasserzeichen
Format: E-Book (pdf)
Hersteller: Springer-Verlag GmbH
Herausgeber: Springer
Genre: Technik
Anzahl Seiten: 94
Veröffentlichung: 05.08.2015
Jahr: 2015
Dateigrösse: 2.2 MB

Weitere Bände aus der Buchreihe "SpringerBriefs in Applied Sciences and Technology"