A Posteriori Error Estimation in Finite Element Analysis

Released on by Mark Ainsworth
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  • A Posteriori Error Estimation in Finite Element Analysis Book Detail

  • Author : Mark Ainsworth
  • Release Date : 2011-09-28
  • Publisher : John Wiley & Sons
  • Genre : Mathematics
  • Pages : 266
  • ISBN 13 : 1118031075
  • File Size : 43,43 MB
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A Posteriori Error Estimation in Finite Element Analysis by Mark Ainsworth PDF Summary

Book Description: 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.

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Finite Elements

Finite Elements

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Most of the many books on finite elements are devoted either to mathematical theory or to engineering applications, but not to both. This book presents computed