A Posteriori Error Analysis Via Duality Theory

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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 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.

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.

Evaluation And Comparison Of Duality Based A Posteriori Error Estimates

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Author :
language : en
Publisher:
Release Date : 2009

Evaluation And Comparison Of Duality Based A Posteriori Error Estimates written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with categories.

A Posteriori Error Estimation For Nonlinear Problems By Duality Techniques

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Author : Eberhard Bänsch
language : en
Publisher:
Release Date : 1995

A Posteriori Error Estimation For Nonlinear Problems By Duality Techniques written by Eberhard Bänsch 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.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2005

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

On Efficient A Posteriori Error Analysis For Variational Inequalities

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Author : Karoline Sophie Köhler
language : en
Publisher:
Release Date : 2016*

On Efficient A Posteriori Error Analysis For Variational Inequalities written by Karoline Sophie Köhler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016* with categories.

Theoretical Numerical Analysis

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Author : Kendall Atkinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-07

Theoretical Numerical Analysis written by Kendall Atkinson 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 2007-06-07 with Mathematics categories.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevelof excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Ma- ematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.

American Book Publishing Record

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Author :
language : en
Publisher:
Release Date : 2003

American Book Publishing Record written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with American literature categories.

A Posteriori Error Estimation Techniques For Finite Element Methods

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Author : Rüdiger Verfürth
language : en
Publisher: Oxford University Press
Release Date : 2013-04-18

A Posteriori Error Estimation Techniques For Finite Element Methods written by Rüdiger Verfürth and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.

A posteriori error estimation techniques are fundamental to the efficient numerical solution of PDEs arising in physical and technical applications. This book gives a unified approach to these techniques and guides graduate students, researchers, and practitioners towards understanding, applying and developing self-adaptive discretization methods.