Mark Ainsworth & J. Tinsley Oden 
A Posteriori Error Estimation in Finite Element Analysis [PDF ebook] 

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.

Tabella dei contenuti

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.

Circa l’autore

MARK AINSWORTH, Ph D, is Professor of Applied Mathematics at Strathclyde University, UK.

J. TINSLEY ODEN, Ph D, is Director of the Texas Institute for Computational and Applied Mathematics at the University of Texas, Austin.