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Author : Vivette Girault
Publisher :
ISBN 13 : 9783662197356
Total Pages : 220 pages
Book Rating : 4.1/5 (973 download)
Download or read book Finite Element Approximation of the Navier-Stokes Equations written by Vivette Girault and published by . This book was released on 2014-09-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vivette Girault
Publisher : Springer
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.F/5 ( download)
Download or read book Finite Element Approximation of the Navier-Stokes Equations written by Vivette Girault and published by Springer. This book was released on 1979 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vivette Girault
Publisher : Springer Science & Business Media
ISBN 13 : 3642616232
Total Pages : 386 pages
Book Rating : 4.6/5 (426 download)
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].
Author : Vivette Girault
Publisher : Springer Verlag
ISBN 13 : 9783540095576
Total Pages : 199 pages
Book Rating : 4.0/5 (955 download)
Download or read book Finite Element Approximation of the Navier-Stokes Equations written by Vivette Girault and published by Springer Verlag. This book was released on 1981-01-01 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : F. Thomasset
Publisher : Springer Science & Business Media
ISBN 13 : 3642870473
Total Pages : 168 pages
Book Rating : 4.6/5 (428 download)
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.
Author : Ramachander Krishnan
Publisher :
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.:/5 (131 download)
Download or read book Analysis of a penalty finite element approximation of the Navier Stokes equations written by Ramachander Krishnan and published by . This book was released on 1984 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Verfürth
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (258 download)
Download or read book Finite Element Approximation of Steady Navier-Stokes Equations with Mixed Boundary Conditions written by R. Verfürth and published by . This book was released on 1982 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : R. Rautmann
Publisher : Springer
ISBN 13 : 3540385509
Total Pages : 602 pages
Book Rating : 4.5/5 (43 download)
Download or read book Approximation Methods for Navier-Stokes Problems written by R. Rautmann and published by Springer. This book was released on 2006-11-15 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C. Cuvelier
Publisher : Springer Science & Business Media
ISBN 13 : 9027721483
Total Pages : 504 pages
Book Rating : 4.0/5 (277 download)
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:
Author : Christoph Winkelmann
Publisher :
ISBN 13 :
Total Pages : 129 pages
Book Rating : 4.:/5 (428 download)
Download or read book Interior Penalty Finite Element Approximation of Navier-Stokes Equations and Application to Free Surface Flows written by Christoph Winkelmann and published by . This book was released on 2007 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger Temam
Publisher : American Mathematical Soc.
ISBN 13 : 0821827375
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)
Download or read book Navier-Stokes Equations written by Roger Temam and published by American Mathematical Soc.. This book was released on 2001-04-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.
Author : R. Verfürth
Publisher :
ISBN 13 :
Total Pages : 47 pages
Book Rating : 4.:/5 (897 download)
Download or read book Finite Element Approximation of Incompressible Navier-Stokes Equations with Slip Boundary Condition written by R. Verfürth and published by . This book was released on 1986 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ramon Codina Rovira
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (87 download)
Download or read book Analysis of a Finite Element Approximation of the Stationary Navier-stokes Equations Using Equal Velocity-pressure Interpolation written by Ramon Codina Rovira and published by . This book was released on 1997 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lisheng Hou
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (144 download)
Download or read book Analysis and finite element approximation of some optimal control problems associated with the Navier-Stokes equations written by Lisheng Hou and published by . This book was released on 1989 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ghinwa Adnan Jalloul
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.:/5 (785 download)
Download or read book Existence, Uniqueness and Finite-element Approximation of Stokes and Navier-Stokes Equations, Using Stream Function Formulations written by Ghinwa Adnan Jalloul and published by . This book was released on 1986 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hongchul Kim
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (38 download)
Download or read book Analysis and Finite Element Approximation of an Optimal Shape Control Problem for the Steady-state Navier-Stokes Equations written by Hongchul Kim and published by . This book was released on 1993 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniele Boffi
Publisher : Springer
ISBN 13 : 3540783199
Total Pages : 254 pages
Book Rating : 4.5/5 (47 download)
Download or read book Mixed Finite Elements, Compatibility Conditions, and Applications written by Daniele Boffi and published by Springer. This book was released on 2008-04-01 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
