A Posteriori Error Estimation in Finite Element Analysis (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) - Hardcover

Ainsworth, Mark; Oden, J. Tinsley

Hardcover

ISBN 10: 047129411X ISBN 13: 9780471294115

Publisher: Wiley-Interscience, 2000

Synopsis

An up-to-date, one-stop reference-complete with applications This volume presents the most up-to-date information available on a posteriori error estimation for finite element approximation in mechanics and mathematics. It emphasizes methods for elliptic boundary value problems and includes applications to incompressible flow and nonlinear problems. Recent years have seen an explosion in the study of a posteriori error estimators due to their remarkable influence on improving both accuracy and reliability in scientific computing. In an effort to provide an accessible source, the authors have sought to present key ideas and common principles on a sound mathematical footing. 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 lucid and convenient resource for researchers in almost any field of finite element methods, and for applied mathematicians and engineers who have an interest in error estimation and/or finite elements.

About this title

Product Description

A Posteriori Error Estimation in Finite Element Analysis A posteriori error estimators have been intensely studied in recent years, owing to their remarkable capacity to enhance both speed and accuracy in computing. By effectively estimating error, the door has been opened for the possibility of controlling the entire computational process through new adaptive algorithms. Full description

Synopsis

A posteriori error estimators have been intensely studied in recent years, owing to their remarkable capacity to enhance both speed and accuracy in computing. By effectively estimating error, the door has been opened for the possibility of controlling the entire computational process through new adaptive algorithms. This new work explores the many issues surrounding the performance of error estimates as an independent measure of the quality of performance of algorithms.

Edition details

• Publisher: Wiley-Interscience
• Publication date: 2000
• ISBN 10: 047129411X
• ISBN 13: 9780471294115
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 264