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The Essentials Of Finite Element Modeling And Adaptive Refinement


The Essentials Of Finite Element Modeling And Adaptive Refinement
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The Essentials Of Finite Element Modeling And Adaptive Refinement


The Essentials Of Finite Element Modeling And Adaptive Refinement
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Author : John O. Dow
language : en
Publisher: Momentum Press, LLC
Release Date : 2012

The Essentials Of Finite Element Modeling And Adaptive Refinement written by John O. Dow and has been published by Momentum Press, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Technology & Engineering categories.


Finite Element Analysis is a very popular, computer-based tool that uses a complex system of points called nodes to make a grid called a "mesh". The mesh contains the material and structural properties that define how the structure will react to certain loading conditions, allowing virtual testing and analysis of stresses or changes applied to the material or component design. This groundbreaking text extends the usefulness of finite element analysis by helping both beginners and advanced users alike. It simplifies, improves, and extends both the finite element method while at the same time advancing adaptive refinement procedures. The book presents: A more simplified approach to finite element analysis based on computational continuum mechanics Physically interpretable notation that identifies a common basis for the finite element and the finite difference methods New point-wise error estimators that identify errors in terms of quantities of direct interest in solid mechanics



The Finite Element Method


The Finite Element Method
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Author : Darrell W. Pepper
language : en
Publisher: CRC Press
Release Date : 2017-04-11

The Finite Element Method written by Darrell W. Pepper and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Business & Economics categories.


This self-explanatory guide introduces the basic fundamentals of the Finite Element Method in a clear manner using comprehensive examples. Beginning with the concept of one-dimensional heat transfer, the first chapters include one-dimensional problems that can be solved by inspection. The book progresses through more detailed two-dimensional elements to three-dimensional elements, including discussions on various applications, and ending with introductory chapters on the boundary element and meshless methods, where more input data must be provided to solve problems. Emphasis is placed on the development of the discrete set of algebraic equations. The example problems and exercises in each chapter explain the procedure for defining and organizing the required initial and boundary condition data for a specific problem, and computer code listings in MATLAB and MAPLE are included for setting up the examples within the text, including COMSOL files. Widely used as an introductory Finite Element Method text since 1992 and used in past ASME short courses and AIAA home study courses, this text is intended for undergraduate and graduate students taking Finite Element Methodology courses, engineers working in the industry that need to become familiar with the FEM, and engineers working in the field of heat transfer. It can also be used for distance education courses that can be conducted on the web. Highlights of the new edition include: - Inclusion of MATLAB, MAPLE code listings, along with several COMSOL files, for the example problems within the text. Power point presentations per chapter and a solution manual are also available from the web. - Additional introductory chapters on the boundary element method and the meshless method. - Revised and updated content. -Simple and easy to follow guidelines for understanding and applying the Finite Element Method.



The Finite Element Method Set


The Finite Element Method Set
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Author : O. C. Zienkiewicz
language : en
Publisher: Elsevier
Release Date : 2005-11-25

The Finite Element Method Set written by O. C. Zienkiewicz and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-25 with Technology & Engineering categories.


The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics.* This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference



The Finite Element Method Its Basis And Fundamentals


The Finite Element Method Its Basis And Fundamentals
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Author : O. C. Zienkiewicz
language : en
Publisher: Butterworth-Heinemann
Release Date : 2013-08-31

The Finite Element Method Its Basis And Fundamentals written by O. C. Zienkiewicz and has been published by Butterworth-Heinemann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-31 with Technology & Engineering categories.


The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book's content to enable clearer development of the finite element method, with major new chapters and sections added to cover: - Weak forms - Variational forms - Multi-dimensional field problems - Automatic mesh generation - Plate bending and shells - Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. - A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development - Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience - Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms



Finite Element Method The Its Fundamentals And Applications In Engineering


Finite Element Method The Its Fundamentals And Applications In Engineering
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Author : John Zhangxin Chen
language : en
Publisher: World Scientific Publishing Company
Release Date : 2011-10-06

Finite Element Method The Its Fundamentals And Applications In Engineering written by John Zhangxin Chen and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-06 with Technology & Engineering categories.


This Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract. Various finite elements in one, two, and three space dimensions are introduced, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics, fluid mechanics, and porous media flow problems are addressed. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. Illustrative computer programs in Fortran and C++ are described. An extensive set of exercises are provided in each chapter. This book serves as a text a for one-semester course for upper-level undergraduates and beginning graduate students and as a professional reference for engineers, mathematicians, and scientists.



Fundamentals Of The Finite Element Method For Heat And Mass Transfer


Fundamentals Of The Finite Element Method For Heat And Mass Transfer
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Author : Perumal Nithiarasu
language : en
Publisher: John Wiley & Sons
Release Date : 2016-03-07

Fundamentals Of The Finite Element Method For Heat And Mass Transfer written by Perumal Nithiarasu 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 2016-03-07 with Science categories.


Fundamentals of the Finite Element Method for Heat and Mass Transfer, Second Edition is a comprehensively updated new edition and is a unique book on the application of the finite element method to heat and mass transfer. • Addresses fundamentals, applications and computer implementation • Educational computer codes are freely available to download, modify and use • Includes a large number of worked examples and exercises • Fills the gap between learning and research



Applied Mechanics Reviews


Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1991

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mechanics, Applied categories.




Computational Modeling Of Objects Presented In Images Fundamentals Methods And Applications


Computational Modeling Of Objects Presented In Images Fundamentals Methods And Applications
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Author : Yongjie Jessica Zhang
language : en
Publisher: Springer
Release Date : 2014-07-23

Computational Modeling Of Objects Presented In Images Fundamentals Methods And Applications written by Yongjie Jessica Zhang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-23 with Computers categories.


This book constitutes the refereed proceedings of the 4th International Conference on Computational Modeling of Objects Presented in Images, CompIMAGE 2014, held in Pittsburgh, PA, USA, in September 2014. The 29 revised full papers presented together with 10 short papers and 6 keynote talks were carefully reviewed and selected from 54 submissions. The papers cover the following topics: medical treatment, imaging and analysis; image registration, denoising and feature identification; image segmentation; shape analysis, meshing and graphs; medical image processing and simulations; image recognition, reconstruction and predictive modeling; image-based modeling and simulations; and computer vision and data-driven investigations.



The Finite Element Method For Fluid Dynamics


The Finite Element Method For Fluid Dynamics
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Author : R. L. Taylor
language : en
Publisher: Elsevier
Release Date : 2024-11-20

The Finite Element Method For Fluid Dynamics written by R. L. Taylor and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-20 with Technology & Engineering categories.


The Finite Element Method for Fluid Dynamics provides a comprehensive introduction to the application of the finite element method in fluid dynamics. The book begins with a useful summary of all relevant partial differential equations, progressing to the discussion of convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations. In this expanded eighth edition, the book starts by explaining the character-based split (CBS) scheme, followed by an exploration of various other methods, including SUPG/PSPG, space-time, and VMS methods. Emphasising the fundamental knowledge, mathematical, and analytical tools necessary for successful implementation of computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics stands as the authoritative introduction of choice for graduate level students, researchers, and professional engineers. - A proven keystone reference in the library for engineers seeking to grasp and implement the finite element method in fluid dynamics - Founded by a prominent pioneer in the field, this eighth edition has been updated by distinguished academics who worked closely with Olgierd C. Zienkiewicz - Includes new chapters on data-driven computational fluid dynamics and independent adaptive mesh and buoyancy driven flow chapters.



Finite Element And Boundary Element Applications In Quantum Mechanics


Finite Element And Boundary Element Applications In Quantum Mechanics
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Author : L. Ramdas Ram-Mohan
language : en
Publisher: Oxford University Press, USA
Release Date : 2002

Finite Element And Boundary Element Applications In Quantum Mechanics written by L. Ramdas Ram-Mohan and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


This book introduces the finite element and boundary element methods (FEM and BEM) for applications to quantum mechanical systems. A discretization of the action integral with finite elements, followed by application of variational principles, brings a very general approach to the solution of Schroedinger's equation for physical systems in arbitrary geometries with complex mixed boundary conditions. The variational approach is a common thread through the book and is used for the improvement of solutions to spectroscopic accuracy, to adaptively improve finite element meshs, to develop a time-dependent theory, and also to generate the solution of large sparse matrix eigenvalue problems. A thorough introduction to BEM is given using the modelling of surface plasmons, quantum electron waveguides, and quantum scattering as illustrative examples. The book should be useful to graduate students and researchers in basic quantum theory, quantum semiconductor modeling, computational physics, mathematics and chemistry