Repin A Posteriori Estimates for Partial Differential Equations

1. Auflage 2008
ISBN: 978-3-11-020304-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 327 Seiten

Reihe: ISSN

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.

Autoren/Hrsg.

Repin, Sergey I.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Frontmatter
Contents
Preface
1. Introduction
2. Overview
3. Poisson’s equation
4. Linear elliptic problems
5. Elasticity
6. Incompressible viscous fluids
7. Generalizations
8. Nonlinear problems
9. A posteriori estimates for other problems
Backmatter

Über Autor(innen)

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