Editors:
- The methods are presented in a pedagogically sound way to promote easy learning
- Written from the point of view of both engineering and applied mathematics
- Illustrated with a wide and relevant set of applications
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
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.
Editors and Affiliations
-
ENS Cachan, Cachan Cedex, France
Ludovic Chamoin
-
UPC Barcelona Tech, Barcelona, Spain
Pedro Díez
Bibliographic Information
Book Title: Verifying Calculations - Forty Years On
Book Subtitle: An Overview of Classical Verification Techniques for FEM Simulations
Editors: Ludovic Chamoin, Pedro Díez
Series Title: SpringerBriefs in Applied Sciences and Technology
DOI: https://doi.org/10.1007/978-3-319-20553-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Author(s) 2016
Softcover ISBN: 978-3-319-20552-6Published: 17 August 2015
eBook ISBN: 978-3-319-20553-3Published: 05 August 2015
Series ISSN: 2191-530X
Series E-ISSN: 2191-5318
Edition Number: 1
Number of Pages: VII, 94
Number of Illustrations: 20 b/w illustrations
Topics: Theoretical and Applied Mechanics, Simulation and Modeling, Computational Science and Engineering