Verifying Calculations - Forty Years On

An Overview of Classical Verification Techniques for FEM Simulations
1. Auflage 2016
ISBN: 978-3-319-20552-6
Verlag: Springer International Publishing

Buch, Englisch, 94 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1897 g

Reihe: SpringerBriefs in Applied Sciences and Technology

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Díez, Pedro

Chamoin, Ludovic

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.