Verifying Calculations - Forty Years On

An Overview of Classical Verification Techniques for FEM Simulations

  • Ludovic Chamoin
  • Pedro Díez

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Yvon Maday
    Pages 1-18
  3. Antonio Huerta, Pedro Díez
    Pages 19-32
  4. E. Nadal, J. J. Ródenas
    Pages 33-57
  5. Pierre Ladevèze, Ludovic Chamoin
    Pages 59-94

About this book


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.


A Posteriori Error Estimation Adaptive Techniques Computational Mechanics Finite Element Method Numerical Verification

Editors and affiliations

  • Ludovic Chamoin
    • 1
  • Pedro Díez
    • 2
  1. 1.ENS CachanCachan CedexFrance
  2. 2.UPC Barcelona TechBarcelonaSpain

Bibliographic information

  • DOI
  • Copyright Information The Author(s) 2016
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-20552-6
  • Online ISBN 978-3-319-20553-3
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • Buy this book on publisher's site