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A posteriori estimates for partial differential equations

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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 Read more...

Author(s): Sergey I Repin
Series: Radon series on computational and applied mathematics, 4
Publisher: Walter de Gruyter
Year: 2008

Language: English
Pages: xi, 316 p. : ill
City: Berlin ; New York
Tags: Математика;Дифференциальные уравнения;Дифференциальные уравнения в частных производных;


Content: Introduction --
Overview --
Poisson's equation --
Linear elliptic problems --
Elasticity --
Incompressible viscous fluids --
Generalizations --
Nonlinear problems --
Other problems.
Abstract:
Deals with the reliable verification of the accuracy of approximate solutions, which is one of the central problems in modern applied analysis. This book offers an overview of the methods developed Read more...