The Finite Element Method for Navier-Stokes Equations: a Least Squares Approach

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (593 download)

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Book Synopsis The Finite Element Method for Navier-Stokes Equations: a Least Squares Approach by : L. C. W. Dixon

Download or read book The Finite Element Method for Navier-Stokes Equations: a Least Squares Approach written by L. C. W. Dixon and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Least-Squares Finite Element Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 0387689222
Total Pages : 669 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Least-Squares Finite Element Methods by : Pavel B. Bochev

Download or read book Least-Squares Finite Element Methods written by Pavel B. Bochev and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.

The Least-Squares Finite Element Method

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540639343
Total Pages : 444 pages
Book Rating : 4.6/5 (393 download)

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Book Synopsis The Least-Squares Finite Element Method by : Bo-nan Jiang

Download or read book The Least-Squares Finite Element Method written by Bo-nan Jiang and published by Springer Science & Business Media. This book was released on 1998-06-22 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.

A Least-squares Finite Element Method for the Stokes and Navier-stokes Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (643 download)

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Book Synopsis A Least-squares Finite Element Method for the Stokes and Navier-stokes Equations by : Paul Bolton

Download or read book A Least-squares Finite Element Method for the Stokes and Navier-stokes Equations written by Paul Bolton and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Least-Squares Finite Element Method

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Publisher : Springer Science & Business Media
ISBN 13 : 3662037408
Total Pages : 425 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Least-Squares Finite Element Method by : Bo-nan Jiang

Download or read book The Least-Squares Finite Element Method written by Bo-nan Jiang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.

Finite Element Methods for Navier-Stokes Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642616232
Total Pages : 386 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Finite Element Methods for Navier-Stokes Equations by : Vivette Girault

Download or read book Finite Element Methods for Navier-Stokes Equations written by Vivette Girault and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an extended version of a previous text (cf. Girault & Raviart [32J) published in 1979 by Springer-Verlag in its series: Lecture Notes in Mathematics. In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehen sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary prob lems although the time-dependent problems are of fundamental importance. This topic is currently evolving rapidly and we feel that it deserves to be covered by another specialized monograph. We have tried, to the best of our ability, to present a fairly exhaustive treatment of the finite element methods for inner flows. On the other hand however, we have entirely left out the subject of exterior problems which involve radically different techniques, both from a theoretical and from a practical point of view. Also, we have neither discussed the implemen tation of the finite element methods presented by this book, nor given any explicit numerical result. This field is extensively covered by Peyret & Taylor [64J and Thomasset [82].

A Least-squares Finite Element Method for Incompressible Navier-Stokes Problems

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Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis A Least-squares Finite Element Method for Incompressible Navier-Stokes Problems by : Bo-Nan Jiang

Download or read book A Least-squares Finite Element Method for Incompressible Navier-Stokes Problems written by Bo-Nan Jiang and published by . This book was released on 1989 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Least-squares Solution of Incompressible Navier-Stokes Equations with the P-version of Finite Elements

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ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Least-squares Solution of Incompressible Navier-Stokes Equations with the P-version of Finite Elements by : Bo-nan Jiang

Download or read book Least-squares Solution of Incompressible Navier-Stokes Equations with the P-version of Finite Elements written by Bo-nan Jiang and published by . This book was released on 1991 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Least-squares Finite Element Method for 3D Incompressible Navier-Stokes Equations

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis A Least-squares Finite Element Method for 3D Incompressible Navier-Stokes Equations by : Bo-nan Jiang

Download or read book A Least-squares Finite Element Method for 3D Incompressible Navier-Stokes Equations written by Bo-nan Jiang and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Least Squares Finite Element Methods for the Stokes and Navier-Stokes Equations

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Publisher :
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.:/5 (311 download)

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Book Synopsis Least Squares Finite Element Methods for the Stokes and Navier-Stokes Equations by : Pavel B. Bochev

Download or read book Least Squares Finite Element Methods for the Stokes and Navier-Stokes Equations written by Pavel B. Bochev and published by . This book was released on 1994 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Mathematics and Advanced Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642187757
Total Pages : 873 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Numerical Mathematics and Advanced Applications by : Miloslav Feistauer

Download or read book Numerical Mathematics and Advanced Applications written by Miloslav Feistauer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 873 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings collect the major part of the lectures given at ENU MATH2003, the European Conference on Numerical Mathematics and Ad vanced Applications, held in Prague, Czech Republic, from 18 August to 22 August, 2003. The importance of numerical and computational mathematics and sci entific computing is permanently growing. There is an increasing number of different research areas, where numerical simulation is necessary. Let us men tion fluid dynamics, continuum mechanics, electromagnetism, phase transi tion, cosmology, medicine, economics, finance, etc. The success of applications of numerical methods is conditioned by changing its basic instruments and looking for new appropriate techniques adapted to new problems as well as new computer architectures. The ENUMATH conferences were established in order to provide a fo rum for discussion of current topics of numerical mathematics. They seek to convene leading experts and young scientists with special emphasis on con tributions from Europe. Recent results and new trends are discussed in the analysis of numerical algorithms as well as in their applications to challenging scientific and industrial problems. The first ENUMATH conference was organized in Paris in 1995, then the series continued by the conferences in Heidelberg 1997, Jyvaskyla 1999 and Ischia Porto 2001. It was a great pleasure and honour for the Czech numerical community that it was decided at Ischia Porto to organize the ENUMATH2003 in Prague. It was the first time when this conference crossed the former Iron Courtain and was organized in a postsocialist country.

A Least-Squares Finite Element Method for Incompressible Navier-Stokes Problems

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722005139
Total Pages : 24 pages
Book Rating : 4.0/5 (51 download)

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Book Synopsis A Least-Squares Finite Element Method for Incompressible Navier-Stokes Problems by : National Aeronautics and Space Administration (NASA)

Download or read book A Least-Squares Finite Element Method for Incompressible Navier-Stokes Problems written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-06-28 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: A least-squares finite element method, based on the velocity-pressure-vorticity formulation, is developed for solving steady incompressible Navier-Stokes problems. This method leads to a minimization problem rather than to a saddle-point problem by the classic mixed method, and can thus accommodate equal-order interpolations. This method has no parameter to tune. The associated algebraic system is symmetric, and positive definite. Numerical results for the cavity flow at Reynolds number up to 10,000 and the backward-facing step flow at Reynolds number up to 900 are presented. Jiang, Bo-Nan Glenn Research Center NASA ORDER C-99066-G; RTOP 505-62-21...

Least-squares Finite Element Method for Fluid Dynamics

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ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Least-squares Finite Element Method for Fluid Dynamics by : Bo-Nan Jiang

Download or read book Least-squares Finite Element Method for Fluid Dynamics written by Bo-Nan Jiang and published by . This book was released on 1989 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition

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Publisher : CRC Press
ISBN 13 : 1420085980
Total Pages : 515 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition by : J. N. Reddy

Download or read book The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition written by J. N. Reddy and published by CRC Press. This book was released on 2010-04-06 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Computational Fluid Dynamics (CFD) and Computational Heat Transfer (CHT) evolve and become increasingly important in standard engineering design and analysis practice, users require a solid understanding of mechanics and numerical methods to make optimal use of available software. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer. This book follows the tradition of the bestselling previous editions, noted for their concise explanation and powerful presentation of useful methodology tailored for use in simulating CFD and CHT. The authors update research developments while retaining the previous editions’ key material and popular style in regard to text organization, equation numbering, references, and symbols. This updated third edition features new or extended coverage of: Coupled problems and parallel processing Mathematical preliminaries and low-speed compressible flows Mode superposition methods and a more detailed account of radiation solution methods Variational multi-scale methods (VMM) and least-squares finite element models (LSFEM) Application of the finite element method to non-isothermal flows Formulation of low-speed, compressible flows With its presentation of realistic, applied examples of FEM in thermal and fluid design analysis, this proven masterwork is an invaluable tool for mastering basic methodology, competently using existing simulation software, and developing simpler special-purpose computer codes. It remains one of the very best resources for understanding numerical methods used in the study of fluid mechanics and heat transfer phenomena.

Finite Element Methods for Flow Problems

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Publisher : John Wiley & Sons
ISBN 13 : 9780471496663
Total Pages : 366 pages
Book Rating : 4.4/5 (966 download)

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Book Synopsis Finite Element Methods for Flow Problems by : Jean Donea

Download or read book Finite Element Methods for Flow Problems written by Jean Donea and published by John Wiley & Sons. This book was released on 2003-06-02 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die Finite-Elemente-Methode, eines der wichtigsten in der Technik verwendeten numerischen Näherungsverfahren, wird hier gründlich und gut verständlich, aber ohne ein Zuviel an mathematischem Formalismus abgehandelt. Insbesondere geht es um die Anwendung der Methode auf Strömungsprobleme. Alle wesentlichen aktuellen Forschungsergebnisse wurden in den Band aufgenommen; viele davon sind bisher nur verstreut in der Originalliteratur zu finden.

Implementation of Finite Element Methods for Navier-Stokes Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642870473
Total Pages : 168 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Implementation of Finite Element Methods for Navier-Stokes Equations by : F. Thomasset

Download or read book Implementation of Finite Element Methods for Navier-Stokes Equations written by F. Thomasset and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.

Finite Element Methods and Navier-Stokes Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9027721483
Total Pages : 504 pages
Book Rating : 4.0/5 (277 download)

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Book Synopsis Finite Element Methods and Navier-Stokes Equations by : C. Cuvelier

Download or read book Finite Element Methods and Navier-Stokes Equations written by C. Cuvelier and published by Springer Science & Business Media. This book was released on 1986-03-31 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: