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Least-Squares Finite Element Methods

2009-04-28 Mathematics
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Release : 2009-04-28
Genre : Mathematics
Kind : eBook
Book Rating : 222/5 ( reviews)

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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. This book was released on 2009-04-28. 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

1998-06-22 Computers
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Release : 1998-06-22
Genre : Computers
Kind : eBook
Book Rating : 343/5 ( reviews)

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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. This book was released on 1998-06-22. 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.

The Finite Element Method for Boundary Value Problems

2016-11-17 Science
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Release : 2016-11-17
Genre : Science
Kind : eBook
Book Rating : 512/5 ( reviews)

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Book Synopsis The Finite Element Method for Boundary Value Problems by : Karan S. Surana

Download or read book The Finite Element Method for Boundary Value Problems written by Karan S. Surana. This book was released on 2016-11-17. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Least-Squares Finite Element Method

2013-03-14 Science
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Release : 2013-03-14
Genre : Science
Kind : eBook
Book Rating : 408/5 ( reviews)

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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. This book was released on 2013-03-14. 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.

Introduction to Numerical Methods for Variational Problems

2019-09-26 Mathematics
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Release : 2019-09-26
Genre : Mathematics
Kind : eBook
Book Rating : 885/5 ( reviews)

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Book Synopsis Introduction to Numerical Methods for Variational Problems by : Hans Petter Langtangen

Download or read book Introduction to Numerical Methods for Variational Problems written by Hans Petter Langtangen. This book was released on 2019-09-26. Available in PDF, EPUB and Kindle. Book excerpt: This textbook teaches finite element methods from a computational point of view. It focuses on how to develop flexible computer programs with Python, a programming language in which a combination of symbolic and numerical tools is used to achieve an explicit and practical derivation of finite element algorithms. The finite element library FEniCS is used throughout the book, but the content is provided in sufficient detail to ensure that students with less mathematical background or mixed programming-language experience will equally benefit. All program examples are available on the Internet.

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