Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 338

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Book Description

Author:
Publisher:
ISBN:
Category : Engineering mathematics
Languages : en
Pages : 410

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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 820

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Book Description

Author: Michel Krizek
Publisher: CRC Press
ISBN: 9780824701482
Category : Mathematics
Languages : en
Pages : 370

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Book Description
"Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs."

Author: Ivo Babuška
Publisher: Oxford University Press
ISBN: 9780198502760
Category : Mathematics
Languages : en
Pages : 820

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Book Description
The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences. Hence reliability questions stand are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference.

Author: Philippe G. Ciarlet
Publisher: Gulf Professional Publishing
ISBN: 9780444512475
Category : Mathematics
Languages : en
Pages : 502

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Author: Mark Ainsworth
Publisher: John Wiley & Sons
ISBN: 1118031075
Category : Mathematics
Languages : en
Pages : 266

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Book Description
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.

Author: Thomas Apel
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 268

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Book Description

Author: Jan S Hesthaven
Publisher: Springer
ISBN: 3319224700
Category : Mathematics
Languages : en
Pages : 139

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Book Description
This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.

Author: Lars Wahlbin
Publisher: Springer
ISBN: 3540494014
Category : Mathematics
Languages : en
Pages : 179

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Book Description
This book is essentially a set of lecture notes from a graduate seminar given at Cornell in Spring 1994. It treats basic mathematical theory for superconvergence in the context of second order elliptic problems. It is aimed at graduate students and researchers. The necessary technical tools are developed in the text although sometimes long proofs are merely referenced. The book gives a rather complete overview of the field of superconvergence (in time-independent problems). It is the first text with such a scope. It includes a very complete and up-to-date list of references.