Duality Based A Posteriori Error Estimates For Higher Order Variational Inequalities With Power Growth Functionals

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Duality Based A Posteriori Error Estimates For Higher Order Variational Inequalities With Power Growth Functionals

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Author : Michael Bildhauer
language : en
Publisher:
Release Date : 2012

Duality Based A Posteriori Error Estimates For Higher Order Variational Inequalities With Power Growth Functionals written by Michael Bildhauer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

A Posteriori Error Analysis Via Duality Theory

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Author : Weimin Han
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-30

A Posteriori Error Analysis Via Duality Theory written by Weimin Han and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-30 with Mathematics categories.

This work provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear var- tional problems. An error estimate is called a posteriori if the computed solution is used in assessing its accuracy. A posteriori error estimation is central to m- suring, controlling and minimizing errors in modeling and numerical appr- imations. In this book, the main mathematical tool for the developments of a posteriori error estimates is the duality theory of convex analysis, documented in the well-known book by Ekeland and Temam ([49]). The duality theory has been found useful in mathematical programming, mechanics, numerical analysis, etc. The book is divided into six chapters. The first chapter reviews some basic notions and results from functional analysis, boundary value problems, elliptic variational inequalities, and finite element approximations. The most relevant part of the duality theory and convex analysis is briefly reviewed in Chapter 2.

A Posteriori Estimates For Partial Differential Equations

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Author : Sergey I. Repin
language : en
Publisher: Walter de Gruyter
Release Date : 2008-10-31

A Posteriori Estimates For Partial Differential Equations written by Sergey I. Repin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-31 with Mathematics categories.

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.

Numerical Mathematics And Advanced Applications 2009

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Author : Gunilla Kreiss
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-19

Numerical Mathematics And Advanced Applications 2009 written by Gunilla Kreiss and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-19 with Mathematics categories.

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A Posteriori Error Analysis Via Duality Theory

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Author : Weimin Han
language : en
Publisher: Springer
Release Date : 2004-11-19

A Posteriori Error Analysis Via Duality Theory written by Weimin Han and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-19 with Mathematics categories.

This work provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear var- tional problems. An error estimate is called a posteriori if the computed solution is used in assessing its accuracy. A posteriori error estimation is central to m- suring, controlling and minimizing errors in modeling and numerical appr- imations. In this book, the main mathematical tool for the developments of a posteriori error estimates is the duality theory of convex analysis, documented in the well-known book by Ekeland and Temam ([49]). The duality theory has been found useful in mathematical programming, mechanics, numerical analysis, etc. The book is divided into six chapters. The first chapter reviews some basic notions and results from functional analysis, boundary value problems, elliptic variational inequalities, and finite element approximations. The most relevant part of the duality theory and convex analysis is briefly reviewed in Chapter 2.

Accuracy Verification Methods

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Author : Olli Mali
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-27

Accuracy Verification Methods written by Olli Mali and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-27 with Computers categories.

The importance of accuracy verification methods was understood at the very beginning of the development of numerical analysis. Recent decades have seen a rapid growth of results related to adaptive numerical methods and a posteriori estimates. However, in this important area there often exists a noticeable gap between mathematicians creating the theory and researchers developing applied algorithms that could be used in engineering and scientific computations for guaranteed and efficient error control. The goals of the book are to (1) give a transparent explanation of the underlying mathematical theory in a style accessible not only to advanced numerical analysts but also to engineers and students; (2) present detailed step-by-step algorithms that follow from a theory; (3) discuss their advantages and drawbacks, areas of applicability, give recommendations and examples.

Vuosikirja

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Author : Suomalainen Tiedeakatemia
language : en
Publisher:
Release Date : 2008

Vuosikirja written by Suomalainen Tiedeakatemia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.

A Posteriori Error Estimates For Elliptic Variational Inequalities

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Author : Ralf Kornhuber
language : en
Publisher:
Release Date : 1995

A Posteriori Error Estimates For Elliptic Variational Inequalities written by Ralf Kornhuber and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

Gradient Flows

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Author : Luigi Ambrosio
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-29

Gradient Flows written by Luigi Ambrosio and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-29 with Mathematics categories.

The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.

Some Applications Of Functional Analysis In Mathematical Physics

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Author : S. L. Sobolev
language : fr
Publisher: American Mathematical Soc.
Release Date : 2008-04-14

Some Applications Of Functional Analysis In Mathematical Physics written by S. L. Sobolev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-14 with Mathematics categories.

Special problems of functional analysis Variational methods in mathematical physics The theory of hyperbolic partial differential equations Comments Appendix: Methode nouvelle a resoudre le probleme de Cauchy pour les equations lineaires hyperboliques normales Comments on the appendix Bibliography Index