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book: A Posteriori Estimates for Partial Differential Equations
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A Posteriori Estimates for Partial Differential Equations

Language: English
Published/Copyright: 2008
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Radon Series on Computational and Applied Mathematics

About this book

This book deals with the reliable verification of the accuracy of approximate solutions which is one of the central problems in modern applied analysis. After giving an overview of the methods developed for models based on partial differential equations, the author derives computable a posteriori error estimates by using methods of the theory of partial differential equations and functional analysis. These estimates are applicable to approximate solutions computed by various methods.

Author / Editor information

Sergey Repin, Steklov Institute of Mathematics, St. Petersburg, Russia.

Reviews

"In the reviewer's opinion, this book would be most suitable for researchers and graduate students in applied mathematics and numeral analysis."
Wen Bin Liu in: Mathematical Reviews 2010b

"It will be useful for experts in computational mathematics, as well as for students interested in applied mathematics."
In: Ems Newsletter 3/2009

Topics

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    Frontmatter

    i
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    Contents

    v
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    Preface

    viii
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    1. Introduction

    1
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    2. Overview

    22
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    3. Poisson’s equation

    45
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    4. Linear elliptic problems

    75
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    5. Elasticity

    104
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    6. Incompressible viscous fluids

    117
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    7. Generalizations

    158
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    8. Nonlinear problems

    178
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    9. A posteriori estimates for other problems

    218
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    Backmatter

    291
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Publishing information
Pages and Images/Illustrations in book
eBook published on:
October 31, 2008
eBook ISBN:
9783110203042
Hardcover published on:
September 16, 2008
Hardcover ISBN:
9783110191530
Pages and Images/Illustrations in book
Front matter:
11
Main content:
316
https://doi.org/10.1515/9783110203042
eBook ISBN: 9783110203042
Hardcover ISBN: 9783110191530
Keywords for this book
Partial Differential Equation; Approximate Solution; A Posteriori Error Estimates
Audience(s) for this book
Graduate Students of Mathematics, Researchers; Academic Libraries
Safety & product resources
Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
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