A Posteriori Error Estimation Techniques for Finite Element Methods (Numerical Mathematics and Scientific Computation)

0 avg rating
( 0 ratings by Goodreads )
 
9780199679423: A Posteriori Error Estimation Techniques for Finite Element Methods (Numerical Mathematics and Scientific Computation)
View all copies of this ISBN edition:
 
 

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.

"synopsis" may belong to another edition of this title.

About the Author:


Rudiger Verfurth is Chair for Numerical Analysis at Ruhr-University, Bochum. He is a renowned expert in a posteriori error estimation and has been the Associate Editor of the SIAM Journal on Numerical Analysis since 2001. He has previously written a well-known book in the area: A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques (Wiley, 1996)

Review:


"This book is well written and is a comprehensive presentation of the subject. For these reasons, it is strongly recommended to all researchers in this field." --Mathematical Reviews


"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Verfurth, Rudiger
Published by Oxford University Press (2013)
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Hardcover Quantity Available: 2
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Oxford University Press, 2013. Hardcover. Condition: New. Never used!. Seller Inventory # P110199679428

More Information About This Seller | Contact this Seller

Buy New
US$ 95.24
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

2.

Verfurth, Rudiger
Published by Oxford University Press (2013)
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Hardcover Quantity Available: 2
Seller:
Save With Sam
(North Miami, FL, U.S.A.)
Rating
[?]

Book Description Oxford University Press, 2013. Hardcover. Condition: New. Brand New!. Seller Inventory # VIB0199679428

More Information About This Seller | Contact this Seller

Buy New
US$ 95.24
Convert Currency

Add to Basket

Shipping: US$ 3.00
Within U.S.A.
Destination, Rates & Speeds

3.

Rudiger Verfurth
Published by Oxford University Press, United Kingdom (2013)
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Hardcover Quantity Available: 10
Seller:
Book Depository International
(London, United Kingdom)
Rating
[?]

Book Description Oxford University Press, United Kingdom, 2013. Hardback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AOP9780199679423

More Information About This Seller | Contact this Seller

Buy New
US$ 110.29
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Rudiger Verfurth
Published by Oxford University Press, United Kingdom (2013)
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Hardcover Quantity Available: 10
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Oxford University Press, United Kingdom, 2013. Hardback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AOP9780199679423

More Information About This Seller | Contact this Seller

Buy New
US$ 114.15
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

Verfurth, Rudiger
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Quantity Available: 5
Seller:
Paperbackshop-US
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description 2013. HRD. Condition: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Seller Inventory # VU-9780199679423

More Information About This Seller | Contact this Seller

Buy New
US$ 114.18
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

6.

Verfurth, Rudiger
Published by OUP Oxford (2013)
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Quantity Available: > 20
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description OUP Oxford, 2013. HRD. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # FU-9780199679423

More Information About This Seller | Contact this Seller

Buy New
US$ 107.10
Convert Currency

Add to Basket

Shipping: US$ 12.42
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Rüdiger Verfürth
Published by OUP Oxford 2013-04-18, Oxford (2013)
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Hardcover Quantity Available: > 20
Seller:
Blackwell's
(Oxford, OX, United Kingdom)
Rating
[?]

Book Description OUP Oxford 2013-04-18, Oxford, 2013. hardback. Condition: New. Seller Inventory # 9780199679423

More Information About This Seller | Contact this Seller

Buy New
US$ 119.67
Convert Currency

Add to Basket

Shipping: US$ 8.28
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Rüdiger Verfürth
Published by OUP Oxford
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Hardcover Quantity Available: 5
Seller:
THE SAINT BOOKSTORE
(Southport, United Kingdom)
Rating
[?]

Book Description OUP Oxford. Hardcover. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780199679423

More Information About This Seller | Contact this Seller

Buy New
US$ 132.67
Convert Currency

Add to Basket

Shipping: US$ 9.57
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Rudiger Verfurth
Published by OUP Oxford 2013-04-18 (2013)
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Quantity Available: 5
Seller:
Chiron Media
(Wallingford, United Kingdom)
Rating
[?]

Book Description OUP Oxford 2013-04-18, 2013. Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Seller Inventory # NU-OUP-00102000

More Information About This Seller | Contact this Seller

Buy New
US$ 139.96
Convert Currency

Add to Basket

Shipping: US$ 4.12
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Rüdiger Verfürth
Published by OUP Oxford (2013)
ISBN 10: 0199679428 ISBN 13: 9780199679423
New Hardcover Quantity Available: 1
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description OUP Oxford, 2013. Hardcover. Condition: Brand New. 416 pages. 9.30x6.40x1.10 inches. In Stock. Seller Inventory # __0199679428

More Information About This Seller | Contact this Seller

Buy New
US$ 141.50
Convert Currency

Add to Basket

Shipping: US$ 8.28
From United Kingdom to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book