A Procedure For A Posteriori Error Estimation For H P Finite Element Methods
DOWNLOAD
Download A Procedure For A Posteriori Error Estimation For H P Finite Element Methods PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A Procedure For A Posteriori Error Estimation For H P Finite Element Methods book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
A Procedure For A Posteriori Error Estimation For H P Finite Element Methods
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1992
A Procedure For A Posteriori Error Estimation For H P Finite Element Methods written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
A new approach to a posteriori error estimation is outlined which is applicable to general h-p finite element approximations of general classes of boundary value problems. The approach makes use of duality arguments and is based on the element residual method (ERM). Important aspects of the method are that it provides a systematic approach toward deriving element boundary conditions for the ERM; it leads to an upper bound for the global error in an appropriate energy norm; and it is valid for non-uniform and irregular h-p meshes. In the present exposition, a brief outline of the theoretical foundations of the method is given together with the results of its application to several representative problems. These results show that the approach is applicable to general linearly elliptic systems, including unsymmetrical operators, and that the method is valid for broad classes of linear and non- linear problems.
A Posteriori Error Estimation Techniques For Finite Element Methods
DOWNLOAD
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 Estimation In Finite Element Analysis
DOWNLOAD
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.
A Posteriori Error Estimation In The Finite Element Method
DOWNLOAD
Author : Mark Ainsworth
language : en
Publisher:
Release Date : 1989
A Posteriori Error Estimation In The Finite Element Method 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 1989 with categories.
A Posteriori Error Estimation For The Finite Element Method Via Local Averaging
DOWNLOAD
Author : Varis Carey
language : en
Publisher:
Release Date : 2005
A Posteriori Error Estimation For The Finite Element Method Via Local Averaging written by Varis Carey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
Advances In A Posteriori Error Estimation On Anisotropic Finite Element Discretizations
DOWNLOAD
Author : Gerd Kunert
language : en
Publisher: Logos Verlag Berlin
Release Date : 2003
Advances In A Posteriori Error Estimation On Anisotropic Finite Element Discretizations written by Gerd Kunert and has been published by Logos Verlag Berlin this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Finite element method categories.
Certain classes of partial differential equations generically give rise to solutions with strong directional features, e.g. with boundary layers. Such solutions are called anisotropic. Their discretization by means of the finite element method (for example) can favourably employ so-called anisotropic meshes. These meshes are characterized by stretched, anisotropic finite elements with a (very) large stretching ratio. The widespread use of computer simulation leads to an increasing demand for semi- or fully automatic solution procedures. Within such self-adaptive algorithms, a posteriori error estimators form an indispensable ingredient for quality control. They are well understood for standard, isotropic discretizations. The knowledge about a posteriori error estimation on anisotropic meshes is much less mature. During the last decade the foundation and basic principles have been proposed, discussed and established, mostly for the Poisson problem. This monograph summarises some of the recent advances in anisotropic error estimation for more challenging problems. Emphasis is given to the contributions of the author. In Chapter 3 the investigation starts with singularly perturbed reaction diffusion problems which frequently lead to solutions with boundary layers. This problem class often arises when simplifying more complex models. Chapter 4 treats singularly perturbed convection diffusion problems, i.e. the convection is dominating. The solution structure is more intricate, and often features boundary layer and/or interior layer solutions. Chapter 5 is devoted to the Stokes equations. Flow problems generically give rise to anisotropic solutions (e.g. with edge singularities or containing layers). The Stokes equations often serve as a simplified or linearised model. In all three chapters, the main results consist in error estimators and corresponding error bounds that are robust with respect to the mesh anisotropy, as far as possible. Finally Chapter 6 addresses the robustness of a posteriori error estimation with respect to the mesh anisotropy.In particular the relation between anisotropic mesh construction and error estimation is investigated. This thesis presents the philosophy of anisotropic error estimation as well as the main results and the definitions required. Proofs and technical details are omitted; instead the key ideas are explained.The compact style of presentation aims at practitioners in particular by providing easily accessible error estimators and error bounds. Further insight is readily possible through the references.
A Posteriori Error Analysis For The Hp Version Of The Finite Element Method
DOWNLOAD
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 Estimates For The Finite Element Method
DOWNLOAD
Author : Erwin Pier-Ribbert
language : en
Publisher:
Release Date : 1989
A Posteriori Error Estimates For The Finite Element Method written by Erwin Pier-Ribbert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Boundary value problems categories.
A Posteriori Error Estimates For The Finite Element Method
DOWNLOAD
Author : University of Maryland at College Park. Computer Science Center
language : en
Publisher:
Release Date : 1977
A Posteriori Error Estimates For The Finite Element Method written by University of Maryland at College Park. Computer Science Center and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
A Posteriori Error Estimation In Finite Element Analysis
DOWNLOAD
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.