Ainsworth / Oden A Posteriori Error Estimation in Finite Element Analysis

1. Auflage 2011
ISBN: 978-1-118-03107-0
Verlag: John Wiley & Sons
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 1, 264 Seiten, E-Book

Reihe: Wiley Series in Pure and Applied Mathematics

An up-to-date, one-stop reference-complete with applications
This volume presents the most up-to-date information available on aposteriori error estimation for finite element approximation inmechanics and mathematics. It emphasizes methods for ellipticboundary value problems and includes applications to incompressibleflow and nonlinear problems.
Recent years have seen an explosion in the study of a posteriorierror estimators due to their remarkable influence on improvingboth accuracy and reliability in scientific computing. In an effortto provide an accessible source, the authors have sought to presentkey ideas and common principles on a sound mathematicalfooting.
Topics covered in this timely reference include:
* Implicit and explicit a posteriori error estimators
* Recovery-based error estimators
* Estimators, indicators, and hierarchic bases
* The equilibrated residual method
* Methodology for the comparison of estimators
* Estimation of errors in quantities of interest
A Posteriori Error Estimation in Finite Element Analysis is a lucidand convenient resource for researchers in almost any field offinite element methods, and for applied mathematicians andengineers who have an interest in error estimation and/or finiteelements.

Autoren/Hrsg.

Ainsworth, Mark

Oden, J. Tinsley

Inhaltsverzeichnis

Explicit A Posteriori Estimators.
Implicit A Posteriori Estimators.
Recovery Based Error Estimators.
Estimators, Indicators, and Hierarchic Bases.
The Equilibrated Residual Method.
Methodology for the Comparison of Estimators.
Estimation of the Errors in Quantities of Interest.
Some Extensions.
References.
Index.

Über Autor(innen)

MARK AINSWORTH, PhD, is Professor of Applied Mathematics atStrathclyde University, UK.
J. TINSLEY ODEN, PhD, is Director of the Texas Institute forComputational and Applied Mathematics at the University of Texas,Austin.