A Posteriori Error Analysis In L P Norms For The Finite Element Method
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A Posteriori Error Analysis In Lp Norms For The Finite Element Method
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Author : Kenneth Eriksson
language : en
Publisher:
Release Date : 1983
A Posteriori Error Analysis In Lp Norms For The Finite Element Method written by Kenneth Eriksson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
A Posteriori Error Analysis In L P Norms For The Finite Element Method
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Author :
language : en
Publisher:
Release Date : 1983
A Posteriori Error Analysis In L P Norms For The Finite Element Method written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
A Posteriori Error Estimation Techniques For Finite Element Methods
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Author : Rüdiger Verfürth
language : en
Publisher: OUP Oxford
Release Date : 2013-04-18
A Posteriori Error Estimation Techniques For Finite Element Methods written by Rüdiger Verfürth and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
Self-adaptive discretization methods are now an indispensable tool for the numerical solution of partial differential equations that arise from physical and technical applications. The aim is to obtain a numerical solution within a prescribed tolerance using a minimal amount of work. The main tools in achieving this goal are a posteriori error estimates which give global and local information on the error of the numerical solution and which can easily be computed from the given numerical solution and the data of the differential equation. This book reviews the most frequently used a posteriori error estimation techniques and applies them to a broad class of linear and nonlinear elliptic and parabolic equations. Although there are various approaches to adaptivity and a posteriori error estimation, they are all based on a few common principles. The main aim of the book is to elaborate these basic principles and to give guidelines for developing adaptive schemes for new problems. Chapters 1 and 2 are quite elementary and present various error indicators and their use for mesh adaptation in the framework of a simple model problem. The basic principles are introduced using a minimal amount of notations and techniques providing a complete overview for the non-specialist. Chapters 4-6 on the other hand are more advanced and present a posteriori error estimates within a general framework using the technical tools collected in Chapter 3. Most sections close with a bibliographical remark which indicates the historical development and hints at further results.
A Posteriori Error Analysis In L Norms For The Finite Element Method
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Author : K. Eriksson
language : en
Publisher:
Release Date : 1983
A Posteriori Error Analysis In L Norms For The Finite Element Method written by K. Eriksson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 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.
Posteriori Error Analysis For The P Version Of The Finite Element Method
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Author : Xiaofeng Yang
language : en
Publisher:
Release Date : 2014
Posteriori Error Analysis For The P Version Of The Finite Element Method written by Xiaofeng Yang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
Finite element method -- mathematics compuatation.
A Posteriori Error Estimation In Finite Element Analysis
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Author : Mark Ainsworth
language : en
Publisher:
Release Date : 1996
A Posteriori Error Estimation In Finite Element Analysis written by Mark Ainsworth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
A Posteriori Error Analysis And Adaptivity For The Finite Element Method
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Author : Jorge Paulo Sousa Rodriguez de Gago
language : en
Publisher:
Release Date : 1982
A Posteriori Error Analysis And Adaptivity For The Finite Element Method written by Jorge Paulo Sousa Rodriguez de Gago and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Finite element method categories.
A Posteriori Error Analysis And Adaptivity For The Finite Element Method
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Author : Jorge Paulo de Sousa Rodrigues Gago
language : en
Publisher:
Release Date : 1982
A Posteriori Error Analysis And Adaptivity For The Finite Element Method written by Jorge Paulo de Sousa Rodrigues Gago and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Finite element method categories.
A Posteriori Error Estimates In Ln2 Norm For The Least Squares Finite Element Method Applied To A First Order System Of Differential Equations
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Author : O. Axelsson
language : en
Publisher:
Release Date : 1999
A Posteriori Error Estimates In Ln2 Norm For The Least Squares Finite Element Method Applied To A First Order System Of Differential Equations written by O. Axelsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.