Mixed Finite Element Methods And Applications

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Mixed Finite Element Methods And Applications

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Author : Daniele Boffi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-02

Mixed Finite Element Methods And Applications written by Daniele Boffi 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 2013-07-02 with Mathematics categories.

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.

Mixed Finite Element Methods And Applications

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Author : Daniele Boffi
language : en
Publisher: Springer
Release Date : 2013-07-04

Mixed Finite Element Methods And Applications written by Daniele Boffi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-04 with Mathematics categories.

Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This book also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, plate problems, elasticity and electromagnetism.

A Simple Introduction To The Mixed Finite Element Method

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Author : Gabriel N. Gatica
language : en
Publisher:
Release Date : 2014-01-31

A Simple Introduction To The Mixed Finite Element Method written by Gabriel N. Gatica and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-31 with categories.

Mixed Finite Element Methods And Applications

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Author :
language : en
Publisher:
Release Date : 2001

Mixed Finite Element Methods And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

Finite Element Methods And Their Applications

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Author : Zhangxin Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-10-14

Finite Element Methods And Their Applications written by Zhangxin Chen 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 2005-10-14 with Science categories.

The ?nite element method is one of the major tools used in the numerical solution of partial di?erential equations. This book o?ers a fundamental and practical introduction to the method, its variants, and their applications. In presenting the material, I have attempted to introduce every concept in the simplest possible setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. The book is based on the material that I have used in a graduate course at Southern Methodist University for several years. Part of the material was alsousedformyseminarnotesatPurdueUniversity,UniversityofMinnesota, andTexasA&MUniversity.Furthermore,thisbookwasthebasisforsummer schools on the ?nite element method and its applications held in China, Iran, Mexico, and Venezuela. This book covers six major topics and four applications. In Chap. 1, the 1 2 standard (H-and H -conforming) ?nite element method is introduced. In Chaps.2and3,twocloselyrelated?niteelementmethods,thenonconforming and the mixed ?nite element methods, are discussed. The discontinuous and characteristic?niteelementmethodsarestudiedinChaps.4and5;thesetwo methods have been recently developed. The adaptive ?nite element method is considered in Chap. 6. The last four chapters are devoted to applications of these methods to solid mechanics (Chap. 7), ?uid mechanics (Chap. 8), ?uid ?ow in porous media (Chap. 9), and semiconductor modeling (Chap. 10).

Mixed Finite Element Methods And Applications

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Author :
language : en
Publisher:
Release Date : 2001

Mixed Finite Element Methods And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.

Theory And Applications Of Mixed Finite Element Methods

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Author : George J. Fix
language : de
Publisher:
Release Date : 1978

Theory And Applications Of Mixed Finite Element Methods written by George J. Fix and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.

Mixed Finite Elements Compatibility Conditions And Applications

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Author : Daniele Boffi
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-14

Mixed Finite Elements Compatibility Conditions And Applications written by Daniele Boffi 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 2008-04-14 with Mathematics categories.

Since the early 70's, mixed finite elements have been the object of a wide and deep study by the mathematical and engineering communities. The fundamental role of this method for many application fields has been worldwide recognized and its use has been introduced in several commercial codes. An important feature of mixed finite elements is the interplay between theory and application. Discretization spaces for mixed schemes require suitable compatibilities, so that simple minded approximations generally do not work and the design of appropriate stabilizations gives rise to challenging mathematical problems. This volume collects the lecture notes of a C.I.M.E. course held in Summer 2006, when some of the most world recognized experts in the field reviewed the rigorous setting of mixed finite elements and revisited it after more than 30 years of practice. Applications, in this volume, range from traditional ones, like fluid-dynamics or elasticity, to more recent and active fields, like electromagnetism.

The Mathematical Basis Of Finite Element Methods With Applications To Partial Differential Equations

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Author : David Francis Griffiths
language : en
Publisher: Oxford University Press, USA
Release Date : 1984

The Mathematical Basis Of Finite Element Methods With Applications To Partial Differential Equations written by David Francis Griffiths and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.

Combining theoretical insights with practical applications, this stimulating collection provides a state-of-the-art survey of the finite element method, one of the most powerful tools available for the solution of physical problems. Written by leading experts, this volume consider such topics as parabolic Galerkin methods, nonconforming elements, the treatment of singularities in elliptic boundary value problems, and conforming methods for self-adjount elliptic problems. This will be an invaluable basic reference for computational mathematicians and engineers who use finite element methods in academic or industrial research.

Mixed Finite Element Methods In Theory And Application

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Author : A. Samuelsson
language : en
Publisher:
Release Date : 1975

Mixed Finite Element Methods In Theory And Application written by A. Samuelsson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.