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A Posteriori Error Analysis For The Hp Version Of The Finite Element Method


A Posteriori Error Analysis For The Hp Version Of The Finite Element Method
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A Posteriori Error Analysis For The Hp Version Of The Finite Element Method


A Posteriori Error Analysis For The Hp Version Of The Finite Element Method
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Author : Hua Shen
language : en
Publisher:
Release Date : 2006

A Posteriori Error Analysis For The Hp Version Of The Finite Element Method written by Hua Shen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.




A Posteriori Error Estimation Techniques For Finite Element Methods


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.



Posteriori Error Analysis For The P Version Of The Finite Element Method


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 Analysis And Adaptivity For The Finite Element Method


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 Analysis And Adaptivity For The Finite Element Method


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 Of A Finite Element Method For The Time Dependent Ginzburg Landau Equations


A Posteriori Error Analysis Of A Finite Element Method For The Time Dependent Ginzburg Landau Equations
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Author : Johan Ivarsson
language : en
Publisher:
Release Date : 1998

A Posteriori Error Analysis Of A Finite Element Method For The Time Dependent Ginzburg Landau Equations written by Johan Ivarsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.




A Posteriori Error Analysis In L Norms For The Finite Element Method


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 In L P Norms For The Finite Element Method


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 In Finite Element Analysis


A Posteriori Error Estimation In Finite Element Analysis
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Author : Mark Ainsworth
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-28

A Posteriori Error Estimation In Finite Element Analysis written by Mark Ainsworth and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-28 with Mathematics categories.


An up-to-date, one-stop reference-complete with applications This volume presents the most up-to-date information available on aposteriori error estimation for finite element approximation inmechanics and mathematics. It emphasizes methods for ellipticboundary value problems and includes applications to incompressibleflow and nonlinear problems. Recent years have seen an explosion in the study of a posteriorierror estimators due to their remarkable influence on improvingboth accuracy and reliability in scientific computing. In an effortto provide an accessible source, the authors have sought to presentkey ideas and common principles on a sound mathematicalfooting. Topics covered in this timely reference include: * Implicit and explicit a posteriori error estimators * Recovery-based error estimators * Estimators, indicators, and hierarchic bases * The equilibrated residual method * Methodology for the comparison of estimators * Estimation of errors in quantities of interest A Posteriori Error Estimation in Finite Element Analysis is a lucidand convenient resource for researchers in almost any field offinite element methods, and for applied mathematicians andengineers who have an interest in error estimation and/or finiteelements.



The Finite Element Method Set


The Finite Element Method Set
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Author : Olek C Zienkiewicz
language : en
Publisher: Elsevier
Release Date : 2005-11-25

The Finite Element Method Set written by Olek C Zienkiewicz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-25 with Technology & Engineering categories.


The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference