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Problems In Finite Element Methods


Problems In Finite Element Methods
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Problems In Finite Element Methods


Problems In Finite Element Methods
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Author : Aref Jeribi
language : en
Publisher: Springer Nature
Release Date : 2024-11-01

Problems In Finite Element Methods written by Aref Jeribi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Mathematics categories.


This book discusses major topics and problems in finite element methods. It is targeted to graduate students and researchers in applied mathematics, physics, and engineering, wishing to learn and familiarize themselves with finite element theory. The book describes the nodal method for squares or rectangles and triangles, as well as an increase of the error between exact solution and approximate solution. It discusses an approximation of positive symmetric first-order systems in the Friedrichs sense by finite element methods. In addition, the book also explains the continuous and discontinuous approximation methods, adapted to the structure of the transport equation, leading to linear systems of quasi-explicit resolution, and therefore commonly used in practice.



The Finite Element Method In Engineering


The Finite Element Method In Engineering
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Author : Singiresu S. Rao
language : en
Publisher: Butterworth-Heinemann
Release Date : 2005

The Finite Element Method In Engineering written by Singiresu S. Rao and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


With the revolution in readily available computing power, the finite element method has become one of the most important tools for the modern engineer. This book offers a comprehensive introduction to the principles involved.



Finite Element Analysis In Engineering Design


Finite Element Analysis In Engineering Design
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Author : Rajasekaran S.
language : en
Publisher: S. Chand Publishing
Release Date : 2008

Finite Element Analysis In Engineering Design written by Rajasekaran S. and has been published by S. Chand Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Technology & Engineering categories.


During the past three decades,the finite element method of analysis has rapidly become a very popular tool for computer solution of complex problems in engineering.With the advent of digital computers the finite element method has greatly enlarged the range of engineering problems.The finite element method is very sucessful because of its generality,the formulation of the problem in variational or weighted residual form,discretization of the formulation and the solution of resulting finite element equations.The book is divided into sixteen chapters.In the first chapter,the historical background and the fundamentals of solid mechanics are discussed.The second chapter covers the discrete finite element method or direct stiffness approach to solve trusses which is quite often discussed in computer statics course.These structural concepts are necessary for the basic understanding of the method to a continuum.



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.


In recent years there have been significant developments in the development of stable and accurate finite element procedures for the numerical approximation of a wide range of fluid mechanics problems. Taking an engineering rather than a mathematical bias, this valuable reference resource details the fundamentals of stabilised finite element methods for the analysis of steady and time-dependent fluid dynamics problems. Organised into six chapters, this text combines theoretical aspects and practical applications and offers coverage of the latest research in several areas of computational fluid dynamics. * Coverage includes new and advanced topics unavailable elsewhere in book form * Collection in one volume of the widely dispersed literature reporting recent progress in this field * Addresses the key problems and offers modern, practical solutions Due to the balance between the concise explanation of the theory and the detailed description of modern practical applications, this text is suitable for a wide audience including academics, research centres and government agencies in aerospace, automotive and environmental engineering.



The Finite Element Method For Engineers


The Finite Element Method For Engineers
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Author : Kenneth H. Huebner
language : en
Publisher: John Wiley & Sons
Release Date : 2001-09-07

The Finite Element Method For Engineers written by Kenneth H. Huebner 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 2001-09-07 with Technology & Engineering categories.


A useful balance of theory, applications, and real-world examples The Finite Element Method for Engineers, Fourth Edition presents a clear, easy-to-understand explanation of finite element fundamentals and enables readers to use the method in research and in solving practical, real-life problems. It develops the basic finite element method mathematical formulation, beginning with physical considerations, proceeding to the well-established variation approach, and placing a strong emphasis on the versatile method of weighted residuals, which has shown itself to be important in nonstructural applications. The authors demonstrate the tremendous power of the finite element method to solve problems that classical methods cannot handle, including elasticity problems, general field problems, heat transfer problems, and fluid mechanics problems. They supply practical information on boundary conditions and mesh generation, and they offer a fresh perspective on finite element analysis with an overview of the current state of finite element optimal design. Supplemented with numerous real-world problems and examples taken directly from the authors' experience in industry and research, The Finite Element Method for Engineers, Fourth Edition gives readers the real insight needed to apply the method to challenging problems and to reason out solutions that cannot be found in any textbook.



Finite Element Methods For Incompressible Flow Problems


Finite Element Methods For Incompressible Flow Problems
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Author : Volker John
language : en
Publisher: Springer
Release Date : 2016-10-27

Finite Element Methods For Incompressible Flow Problems written by Volker John and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-27 with Mathematics categories.


This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.



Finite Element Methods For Eigenvalue Problems


Finite Element Methods For Eigenvalue Problems
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Author : Jiguang Sun
language : en
Publisher: CRC Press
Release Date : 2016-08-19

Finite Element Methods For Eigenvalue Problems written by Jiguang Sun and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Mathematics categories.


This book covers finite element methods for several typical eigenvalues that arise from science and engineering. Both theory and implementation are covered in depth at the graduate level. The background for typical eigenvalue problems is included along with functional analysis tools, finite element discretization methods, convergence analysis, techniques for matrix evaluation problems, and computer implementation. The book also presents new methods, such as the discontinuous Galerkin method, and new problems, such as the transmission eigenvalue problem.



Finite Element Methods In Mechanics


Finite Element Methods In Mechanics
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Author : Noboru Kikuchi
language : en
Publisher: CUP Archive
Release Date : 1986-06-12

Finite Element Methods In Mechanics written by Noboru Kikuchi and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-06-12 with Mathematics categories.


This is a textbook written for mechanical engineering students at first-year graduate level. As such, it emphasizes the development of finite element methods used in applied mechanics. The book starts with fundamental formulations of heat conduction and linear elasticity and derives the weak form (i.e. the principle of virtual work in elasticity) from a boundary value problem that represents the mechanical behaviour of solids and fluids. Finite element approximations are then derived from this weak form. The book contains many useful exercises and the author appropriately provides the student with computer programs in both BASIC and FORTRAN for solving them. Furthermore, a workbook is available with additional computer listings, and also an accompanying disc that contains the BASIC programs for use on IBM-PC microcomputers and their compatibles. Thus the usefulness and versatility of this text is enhanced by the student's ability to practise problem solving on accessible microcomputers.



Finite Element Solution Of Boundary Value Problems


Finite Element Solution Of Boundary Value Problems
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Author : O. Axelsson
language : en
Publisher: SIAM
Release Date : 2001-01-01

Finite Element Solution Of Boundary Value Problems written by O. Axelsson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.


a thorough, balanced introduction to both the theoretical and the computational aspects of the topic.



Graded Finite Element Methods For Elliptic Problems In Nonsmooth Domains


Graded Finite Element Methods For Elliptic Problems In Nonsmooth Domains
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Author : Hengguang Li
language : en
Publisher: Springer Nature
Release Date : 2022-09-01

Graded Finite Element Methods For Elliptic Problems In Nonsmooth Domains written by Hengguang Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Mathematics categories.


This book develops a class of graded finite element methods to solve singular elliptic boundary value problems in two- and three-dimensional domains. It provides an approachable and self-contained presentation of the topic, including both the mathematical theory and numerical tools necessary to address the major challenges imposed by the singular solution. Moreover, by focusing upon second-order equations with constant coefficients, it manages to derive explicit results that are accessible to the broader computation community. Although written with mathematics graduate students and researchers in mind, this book is also relevant to applied and computational mathematicians, scientists, and engineers in numerical methods who may encounter singular problems.