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Finite And Boundary Element Methods In Engineering


Finite And Boundary Element Methods In Engineering
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The Boundary Element Method In Engineering


The Boundary Element Method In Engineering
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Author : Adib A. Becker
language : en
Publisher: McGraw-Hill Companies
Release Date : 1992

The Boundary Element Method In Engineering written by Adib A. Becker and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Business & Economics categories.




The Boundary Element Method With Programming


The Boundary Element Method With Programming
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Author : Gernot Beer
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-03

The Boundary Element Method With Programming written by Gernot Beer 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 2008-09-03 with Technology & Engineering categories.


This thorough yet understandable introduction to the boundary element method presents an attractive alternative to the finite element method. It not only explains the theory but also presents the implementation of the theory into computer code, the code in FORTRAN 95 can be freely downloaded. The book also addresses the issue of efficiently using parallel processing hardware in order to considerably speed up the computations for large systems. The applications range from problems of heat and fluid flow to static and dynamic elasto-plastic problems in continuum mechanics.



An Introduction To Linear And Nonlinear Finite Element Analysis


An Introduction To Linear And Nonlinear Finite Element Analysis
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Author : Prem Kythe
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-17

An Introduction To Linear And Nonlinear Finite Element Analysis written by Prem Kythe 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 2003-10-17 with Mathematics categories.


Modern finite element analysis has grown into a basic mathematical tool for almost every field of engineering and the applied sciences. This introductory textbook fills a gap in the literature, offering a concise, integrated presentation of methods, applications, software tools, and hands-on projects. Included are numerous exercises, problems, and Mathematica/Matlab-based programming projects. The emphasis is on interdisciplinary applications to serve a broad audience of advanced undergraduate/graduate students with different backgrounds in applied mathematics, engineering, physics/geophysics. The work may also serve as a self-study reference for researchers and practitioners seeking a quick introduction to the subject for their research.



Finite Element And Boundary Methods In Structural Acoustics And Vibration


Finite Element And Boundary Methods In Structural Acoustics And Vibration
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Author : Noureddine Atalla
language : en
Publisher: CRC Press
Release Date : 2015-04-17

Finite Element And Boundary Methods In Structural Acoustics And Vibration written by Noureddine Atalla and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-17 with Technology & Engineering categories.


Effectively Construct Integral Formulations Suitable for Numerical ImplementationFinite Element and Boundary Methods in Structural Acoustics and Vibration provides a unique and in-depth presentation of the finite element method (FEM) and the boundary element method (BEM) in structural acoustics and vibrations. It illustrates the principles using a



Finite And Boundary Element Methods In Engineering


Finite And Boundary Element Methods In Engineering
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Author : O.P. Gupta
language : en
Publisher: Routledge
Release Date : 2022-03-23

Finite And Boundary Element Methods In Engineering written by O.P. Gupta and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-23 with Technology & Engineering categories.


The interest in finite element method as a solution technique of the computer age is reflected in the availability of many general and special purpose software based on this technique. This work aims to provide a complete and detailed explanation of the basics of the application areas.



The Boundary Element Method For Engineers And Scientists


The Boundary Element Method For Engineers And Scientists
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Author : John T. Katsikadelis
language : en
Publisher: Academic Press
Release Date : 2016-10-10

The Boundary Element Method For Engineers And Scientists written by John T. Katsikadelis and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-10 with Technology & Engineering categories.


The Boundary Element Method for Engineers and Scientists: Theory and Applications is a detailed introduction to the principles and use of boundary element method (BEM), enabling this versatile and powerful computational tool to be employed for engineering analysis and design. In this book, Dr. Katsikadelis presents the underlying principles and explains how the BEM equations are formed and numerically solved using only the mathematics and mechanics to which readers will have been exposed during undergraduate studies. All concepts are illustrated with worked examples and problems, helping to put theory into practice and to familiarize the reader with BEM programming through the use of code and programs listed in the book and also available in electronic form on the book's companion website. - Offers an accessible guide to BEM principles and numerical implementation, with worked examples and detailed discussion of practical applications - This second edition features three new chapters, including coverage of the dual reciprocity method (DRM) and analog equation method (AEM), with their application to complicated problems, including time dependent and non-linear problems, as well as problems described by fractional differential equations - Companion website includes source code of all computer programs developed in the book for the solution of a broad range of real-life engineering problems



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



The Scaled Boundary Finite Element Method


The Scaled Boundary Finite Element Method
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Author : John P. Wolf
language : en
Publisher: John Wiley & Sons
Release Date : 2003-03-14

The Scaled Boundary Finite Element Method written by John P. Wolf 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 2003-03-14 with Technology & Engineering categories.


A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.



Boundary Element Techniques


Boundary Element Techniques
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Author : C. A. Brebbia
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Boundary Element Techniques written by C. A. Brebbia 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 Technology & Engineering categories.


VI SOCRATES: I think that we ought to stress that we will write only about things that we have first hand experience in, in a coherent way that will be useful to engineers and other scientists and stressing the formulation without being too mathematical. We should write with integrity and honesty, giving reference to other authors where reference is due, but avoiding mentioning everybody just to be certain that our book is widely advertised. Above all, the book should be clear and useful. PLATO: I think we should include a good discussion of fundamental ideas, of how integral equations are formed, pointing out that they are like two dimensional shadows of three dimensional objects, ... SOCRATES: Stop there! Remember you are not 'the' Plato! PLATO: Sorry, I was carried away. ARISTOTLE: I think that the book should have many applications so that the reader can learn by looking at them how to use the method. SOCRATES: I agree. But we should be careful. It is easy to include many illustra tions and examples in a book in order to disguise its meagre contents. All examples should be relevant. ARISTOTLE: And we should also include a full computer program to give the reader if so he wishes, a working experience of the technique.



Matlab And C Programming For Trefftz Finite Element Methods


Matlab And C Programming For Trefftz Finite Element Methods
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Author : Qing-Hua Qin
language : en
Publisher: CRC Press
Release Date : 2008-07-21

Matlab And C Programming For Trefftz Finite Element Methods written by Qing-Hua Qin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-21 with Mathematics categories.


Although the Trefftz finite element method (FEM) has become a powerful computational tool in the analysis of plane elasticity, thin and thick plate bending, Poisson's equation, heat conduction, and piezoelectric materials, there are few books that offer a comprehensive computer programming treatment of the subject. Collecting results scattered in t