The Least Squares Finite Element Method
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Author |
: Pavel B. Bochev |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 669 |
Release |
: 2009-04-28 |
ISBN-10 |
: 9780387689227 |
ISBN-13 |
: 0387689222 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Least-Squares Finite Element Methods by : Pavel B. Bochev
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.
Author |
: Bo-nan Jiang |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 444 |
Release |
: 1998-06-22 |
ISBN-10 |
: 3540639349 |
ISBN-13 |
: 9783540639343 |
Rating |
: 4/5 (49 Downloads) |
Synopsis The Least-Squares Finite Element Method by : Bo-nan Jiang
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.
Author |
: Bo-nan Jiang |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 425 |
Release |
: 2013-03-14 |
ISBN-10 |
: 9783662037409 |
ISBN-13 |
: 3662037408 |
Rating |
: 4/5 (09 Downloads) |
Synopsis The Least-Squares Finite Element Method by : Bo-nan Jiang
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.
Author |
: Karan S. Surana |
Publisher |
: CRC Press |
Total Pages |
: 824 |
Release |
: 2016-11-17 |
ISBN-10 |
: 9781498780513 |
ISBN-13 |
: 1498780512 |
Rating |
: 4/5 (13 Downloads) |
Synopsis The Finite Element Method for Boundary Value Problems by : Karan S. Surana
Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented computational studies using FEM. Mathematically rigorous, the FEM is presented as a method of approximation for differential operators that are mathematically classified as self-adjoint, non-self-adjoint, and non-linear, thus addressing totality of all BVPs in various areas of engineering, applied mathematics, and physical sciences. These classes of operators are utilized in various methods of approximation: Galerkin method, Petrov-Galerkin Method, weighted residual method, Galerkin method with weak form, least squares method based on residual functional, etc. to establish unconditionally stable finite element computational processes using calculus of variations. Readers are able to grasp the mathematical foundation of finite element method as well as its versatility of applications. h-, p-, and k-versions of finite element method, hierarchical approximations, convergence, error estimation, error computation, and adaptivity are additional significant aspects of this book.
Author |
: Susanne Brenner |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 369 |
Release |
: 2013-03-14 |
ISBN-10 |
: 9781475736588 |
ISBN-13 |
: 1475736584 |
Rating |
: 4/5 (88 Downloads) |
Synopsis The Mathematical Theory of Finite Element Methods by : Susanne Brenner
A rigorous and thorough mathematical introduction to the subject; A clear and concise treatment of modern fast solution techniques such as multigrid and domain decomposition algorithms; Second edition contains two new chapters, as well as many new exercises; Previous edition sold over 3000 copies worldwide
Author |
: B. N. Jiang |
Publisher |
: |
Total Pages |
: 600 |
Release |
: 1995 |
ISBN-10 |
: 9810222289 |
ISBN-13 |
: 9789810222284 |
Rating |
: 4/5 (89 Downloads) |
Synopsis Least-Squares Finite Element Method - Theory and Applications in Computational Fluid Dynamics by : B. N. Jiang
Author |
: Mats G. Larson |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 403 |
Release |
: 2013-01-13 |
ISBN-10 |
: 9783642332876 |
ISBN-13 |
: 3642332870 |
Rating |
: 4/5 (76 Downloads) |
Synopsis The Finite Element Method: Theory, Implementation, and Applications by : Mats G. Larson
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.
Author |
: John Wolberg |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 257 |
Release |
: 2006-02-08 |
ISBN-10 |
: 9783540317203 |
ISBN-13 |
: 3540317201 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Data Analysis Using the Method of Least Squares by : John Wolberg
Develops the full power of the least-squares method Enables engineers and scientists to apply the method to their specific problem Deals with linear as well as with non-linear least-squares, parametric as well as non-parametric methods
Author |
: Shiang-Jiun Chen |
Publisher |
: |
Total Pages |
: 260 |
Release |
: 2000 |
ISBN-10 |
: OCLC:45046488 |
ISBN-13 |
: |
Rating |
: 4/5 (88 Downloads) |
Synopsis The Finite Element Method of Least Squares Type by : Shiang-Jiun Chen
Author |
: National Aeronautics and Space Administration (NASA) |
Publisher |
: Createspace Independent Publishing Platform |
Total Pages |
: 38 |
Release |
: 2018-07-05 |
ISBN-10 |
: 1722337842 |
ISBN-13 |
: 9781722337841 |
Rating |
: 4/5 (42 Downloads) |
Synopsis Least-Squares Finite Element Method for Fluid Dynamics by : National Aeronautics and Space Administration (NASA)
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...