Finite Element Implementation
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Application And Implementation Of Finite Element Methods
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Author : J. E. Akin
language : en
Publisher:
Release Date : 1984
Application And Implementation Of Finite Element Methods written by J. E. Akin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
Mathematics of Computing -- Numerical Analysis.
Finite Element Implementation
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Author : Y. K. Cheung
language : en
Publisher: Wiley-Blackwell
Release Date : 1996-01-30
Finite Element Implementation written by Y. K. Cheung and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-30 with Technology & Engineering categories.
The finite-element method is a powerful tool for engineers to obtain numerical results for an analytical model. Previously available books focused mainly on the method's theory and derivation for different classes of engineering problems. And, on the other hand, commercial codes aimed to give numerical results quickly after an engineering problem was defined. This book, however, bridges the gap between theories and numerical results by dealing with the aspect of implementation itself.
The Finite Element Method Theory Implementation And Applications
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Author : Mats G. Larson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-13
The Finite Element Method Theory Implementation And Applications written by Mats G. Larson 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 2013-01-13 with Computers categories.
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.
Finite Element Method
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Author : Pin Tong
language : en
Publisher: MIT Press (MA)
Release Date : 1977
Finite Element Method written by Pin Tong and has been published by MIT Press (MA) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
Understanding And Implementing The Finite Element Method
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Author : Mark S. Gockenbach
language : en
Publisher: SIAM
Release Date : 2006-01-01
Understanding And Implementing The Finite Element Method written by Mark S. Gockenbach and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Understanding and Implementing the Finite Element Method Mark S. Gockenbach "Upon completion of this book a student or researcher would be well prepared to employ finite elements for an application problem or proceed to the cutting edge of research in finite element methods. The accuracy and the thoroughness of the book are excellent." --Anthony Kearsley, research mathematician, National Institute of Standards and Technology The infinite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. Understanding and Implementing the Finite Element Method is essential reading for those interested in understanding both the theory and the implementation of the finite element method for equilibrium problems. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics.
Introduction To The Finite Element Method And Implementation With Matlab
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Author : Gang Li
language : en
Publisher: Cambridge University Press
Release Date : 2020-07-30
Introduction To The Finite Element Method And Implementation With Matlab written by Gang Li and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-30 with Science categories.
An introductory textbook for engineering students, connecting finite element theory with practical application and implementation.
Aspects Of Finite Element Implementation Of Critical State Models
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Author : Daichao Sheng
language : en
Publisher:
Release Date : 1999
Aspects Of Finite Element Implementation Of Critical State Models written by Daichao Sheng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Finite element method categories.
Implementation Of Finite Element Methods For Navier Stokes Equations
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Author : F. Thomasset
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Implementation Of Finite Element Methods For Navier Stokes Equations written by F. Thomasset 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 Science categories.
In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.
The Finite Element Method
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Author : Patrick Ciarlet
language : en
Publisher: John Wiley & Sons
Release Date : 2023-08-29
The Finite Element Method written by Patrick Ciarlet 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 2023-08-29 with Mathematics categories.
The finite element method, which emerged in the 1950s to deal with structural mechanics problems, has since undergone continuous development. Using partial differential equation models, it is now present in such fields of application as mechanics, physics, chemistry, economics, finance and biology. It is also used in most scientific computing software, and many engineers become adept at using it in their modeling and numerical simulation activities. This book presents all the essential elements of the finite element method in a progressive and didactic way: the theoretical foundations, practical considerations of implementation, algorithms, as well as numerical illustrations created in MATLAB. Original exercises with detailed answers are provided at the end of each chapter.
Computer Implementation Of The Finite Element Method
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Author : John Alan George
language : en
Publisher:
Release Date : 1971
Computer Implementation Of The Finite Element Method written by John Alan George and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Boundary value problems categories.