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Item Details
Title:
A POSTERIORI ERROR ESTIMATION TECHNIQUES FOR FINITE ELEMENT METHODS
By:
Rudiger Verfurth
Format:
Hardback
List price:
£137.50
Our price:
£120.31
Discount:
12.5
% off
You save:
£17.19
ISBN 10:
0199679428
ISBN 13:
9780199679423
Availability:
Usually dispatched within 1-3 weeks.
Delivery rates
Stock:
Currently
0
available
Publisher:
OXFORD UNIVERSITY PRESS
Pub. date:
18 April, 2013
Series:
Numerical Mathematics and Scientific Computation
Pages:
416
Description:
A posteriori error estimation techniques are fundamental to the efficient numerical solution of PDEs arising in physical and technical applications. This book gives a unified approach to these techniques and guides graduate students, researchers, and practitioners towards understanding, applying and developing self-adaptive discretization methods.
Synopsis:
Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools in achieving this goal are a posteriori error estimates which give global and local information on the error of the numerical solution and which can easily be computed from the given numerical solution and the data of the differential equation. This book reviews the most frequently used a posteriori error estimation techniques and applies them to a broad class of linear and nonlinear elliptic and parabolic equations. Although there are various approaches to adaptivity and a posteriori error estimation, they are all based on a few common principles. The main aim of the book is to elaborate these basic principles and to give guidelines for developing adaptive schemes for new problems. Chapters 1 and 2 are quite elementary and present various error indicators and their use for mesh adaptation in the framework of a simple model problem.The basic principles are introduced using a minimal amount of notations and techniques providing a complete overview for the non-specialist. Chapters 4-6 on the other hand are more advanced and present a posteriori error estimates within a general framework using the technical tools collected in Chapter 3. Most sections close with a bibliographical remark which indicates the historical development and hints at further results.
Illustrations:
33 b/w line drawings, 2 page colour plate section
Publication:
UK
Imprint:
Oxford University Press
Returns:
Returnable
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