Error Estimation and Adaptive Discretization Methods in Computational Fluid Dynamics

by Barth, Timothy J.; Deconinck, Herman

• ISBN13: 9783540437581
• ISBN10: 3540437584
• Format: Hardcover
• Copyright: 2003-02-01
• Publisher: Springer Verlag

Summary

This book considers recent developments in numerical error estimation and adaptive discretization for finite element and finite volume methods with particular attention given to discretization methods used frequently in computational fluid dynamics. The volume consists of six detailed articles by leading specialists covering a range of topics including a posteriori error estimation of functionals, one- and two-sided error bounds, error indicators for ad aptivity, and nd geometrical aspects of adaptive mesh refinement. This book should be of interest to readers actively working in the field as well as readers seeking a comprehensive introduction to the topic.

Table of Contents

Adaptive Mesh Generation	1	(46)
Marshall Bern
Adjoint Error Correction for Integral Outputs	47	(50)
Michael B. Giles
Niles A. Pierce
Adaptive Finite Element Methods for Incompressible Fluid Flow	97	(62)
Johan Hoffman
Claes Johnson
A General Lagrangian Formulation for the Computation of A Posteriori Finite Element Bounds	159	(48)
Anthony T. Patera
Jaume Peraire
Computable Error Estimators and Adaptive Techniques for Fluid Flow Problems	207	(62)
Serge Prudhomme
J. Tinsley Oden
Adaptive Finite Element Approximation of Hyperbolic Problems	269
Endre Suli
Paul Houston