The Least Squares Finite Element Method
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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
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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
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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
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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.
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.
An Adaptive Least Squares Finite Element Method For The Compressible Euler Equations
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Author : Farzad Taghaddosi
language : en
Publisher:
Release Date : 1996
An Adaptive Least Squares Finite Element Method For The Compressible Euler Equations written by Farzad Taghaddosi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Finite element method categories.
Finite Element Methods Of The Least Squares Type For Regions With Corners
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Author : George J. Fix
language : en
Publisher:
Release Date : 1981
Finite Element Methods Of The Least Squares Type For Regions With Corners 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 1981 with Finite element method categories.
"This paper treats problems with corner singularities. It is shown that if appropriate weights are used in the least squares formulation, then optimal error estimates can be derived in unweighted L2 norms" -- abstract.
A Least Squares Finite Element Method For Electromagnetic Scattering Problems
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Author : Jie Wu
language : en
Publisher:
Release Date : 1996
A Least Squares Finite Element Method For Electromagnetic Scattering Problems written by Jie Wu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Electromagnetic waves categories.
Simulation Of Two Fluid Flows By The Least Squares Finite Element Method Using A Continuum Surface Tension Model
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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-12
Simulation Of Two Fluid Flows By The Least Squares Finite Element Method Using A Continuum Surface Tension Model 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 2018-07-12 with categories.
In this paper a numerical procedure for simulating two-fluid flows is presented. This procedure is based on the Volume of Fluid (VOF) method proposed by Hirt and Nichols and the continuum surface force (CSF) model developed by Brackbill, et al. In the VOF method fluids of different properties are identified through the use of a continuous field variable (color function). The color function assigns a unique constant (color) to each fluid. The interfaces between different fluids are distinct due to sharp gradients of the color function. The evolution of the interfaces is captured by solving the convective equation of the color function. The CSF model is used as a means to treat surface tension effect at the interfaces. Here a modified version of the CSF model, proposed by Jacqmin, is used to calculate the tension force. In the modified version, the force term is obtained by calculating the divergence of a stress tensor defined by the gradient of the color function. In its analytical form, this stress formulation is equivalent to the original CSF model. Numerically, however, the use of the stress formulation has some advantages over the original CSF model, as it bypasses the difficulty in approximating the curvatures of the interfaces. The least-squares finite element method (LSFEM) is used to discretize the governing equation systems. The LSFEM has proven to be effective in solving incompressible Navier-Stokes equations and pure convection equations, making it an ideal candidate for the present applications. The LSFEM handles all the equations in a unified manner without any additional special treatment such as upwinding or artificial dissipation. Various bench mark tests have been carried out for both two dimensional planar and axisymmetric flows, including a dam breaking, oscillating and stationary bubbles and a conical liquid sheet in a pressure swirl atomizer. Wu, Jie and Yu, Sheng-Tao and Jiang, Bo-nan Glenn Research Center NCC3-483; NAS3-27186; RTOP 505-90-5K...
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.