Least Squares Finite Element Methods


Least Squares Finite Element Methods
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The Least Squares Finite Element Method


The Least Squares Finite Element Method
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Author : Bo-nan Jiang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

The Least Squares Finite Element Method written by Bo-nan Jiang 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 2013-03-14 with Science categories.


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.



Least Squares Finite Element Methods


Least Squares Finite Element Methods
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Author : Pavel B. Bochev
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-28

Least Squares Finite Element Methods written by Pavel B. Bochev 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 2009-04-28 with Mathematics categories.


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.



Least Squares Finite Element Method Theory And Applications In Computational Fluid Dynamics


Least Squares Finite Element Method Theory And Applications In Computational Fluid Dynamics
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Author : B. N. Jiang
language : en
Publisher:
Release Date : 1995

Least Squares Finite Element Method Theory And Applications In Computational Fluid Dynamics written by B. N. Jiang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.




Optimal Least Squares Finite Element Method For Elliptic Problems


Optimal Least Squares Finite Element Method For Elliptic Problems
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Author : Bo-Nan Jiang
language : en
Publisher:
Release Date : 1991

Optimal Least Squares Finite Element Method For Elliptic Problems written by Bo-Nan Jiang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Finite element method categories.




A Least Squares Finite Element Method For Incompressible Navier Stokes Problems


A Least Squares Finite Element Method For Incompressible Navier Stokes Problems
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-06-28

A Least Squares Finite Element Method For Incompressible Navier Stokes Problems written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-28 with categories.


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


Least Squares Finite Element Method For Fluid Dynamics
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-05

Least Squares Finite Element Method For Fluid Dynamics written by National Aeronautics and Space Administration (NASA) and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-05 with categories.


An overview is given of new developments of the least squares finite element method (LSFEM) in fluid dynamics. Special emphasis is placed on the universality of LSFEM; the symmetry and positiveness of the algebraic systems obtained from LSFEM; the accommodation of LSFEM to equal order interpolations for incompressible viscous flows; and the natural numerical dissipation of LSFEM for convective transport problems and high speed compressible flows. The performance of LSFEM is illustrated by numerical examples. Jiang, Bo-Nan and Povinelli, Louis A. Glenn Research Center NASA ORDER C-99066-G; RTOP 505-62-21...



The Taylor Least Squares Finite Element Method For Advection Dominated Problems


The Taylor Least Squares Finite Element Method For Advection Dominated Problems
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Author : Nam-Sik Park
language : en
Publisher:
Release Date : 1990

The Taylor Least Squares Finite Element Method For Advection Dominated Problems written by Nam-Sik Park and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.




Finite Element Methods For Flow Problems


Finite Element Methods For Flow Problems
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Author : Jean Donea
language : en
Publisher: John Wiley & Sons
Release Date : 2003-06-02

Finite Element Methods For Flow Problems written by Jean Donea 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 2003-06-02 with Science categories.


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.



Analysis Of A Finite Element Method


Analysis Of A Finite Element Method
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Author : Granville Sewell
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Analysis Of A Finite Element Method written by Granville Sewell 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 2012-12-06 with Mathematics categories.


This text can be used for two quite different purposes. It can be used as a reference book for the PDElPROTRAN user· who wishes to know more about the methods employed by PDE/PROTRAN Edition 1 (or its predecessor, TWODEPEP) in solving two-dimensional partial differential equations. However, because PDE/PROTRAN solves such a wide class of problems, an outline of the algorithms contained in PDElPROTRAN is also quite suitable as a text for an introductory graduate level finite element course. Algorithms which solve elliptic, parabolic, hyperbolic, and eigenvalue partial differential equation problems are pre sented, as are techniques appropriate for treatment of singularities, curved boundaries, nonsymmetric and nonlinear problems, and systems of PDEs. Direct and iterative linear equation solvers are studied. Although the text emphasizes those algorithms which are actually implemented in PDEI PROTRAN, and does not discuss in detail one- and three-dimensional problems, or collocation and least squares finite element methods, for example, many of the most commonly used techniques are studied in detail. Algorithms applicable to general problems are naturally emphasized, and not special purpose algorithms which may be more efficient for specialized problems, such as Laplace's equation. It can be argued, however, that the student will better understand the finite element method after seeing the details of one successful implementation than after seeing a broad overview of the many types of elements, linear equation solvers, and other options in existence.



Accuracy Of Least Squares Methods For The Navier Stokes Equations


Accuracy Of Least Squares Methods For The Navier Stokes Equations
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Author : Pavel B. Bochev
language : en
Publisher:
Release Date : 1993

Accuracy Of Least Squares Methods For The Navier Stokes Equations written by Pavel B. Bochev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Least squares categories.