The Boundary Element Method
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Boundary Elements
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Author : C. A. Brebbia
language : en
Publisher: WIT Press
Release Date : 1994-05-31
Boundary Elements written by C. A. Brebbia and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-31 with Mathematics categories.
This best-selling text provides a simple introduction to the Boundary Element Method. Based on the authors' long teaching experience it is designed to convey in the most effective manner the fundamentals of the method. The book is presented in a way which makes it accessible to both undergraduate and graduate students as well as to practising engineers who want to learn the foundations of the technique. Of particular interest is the way in which Boundary Element concepts are introduced and immediately applied in simple, but useful, computer codes to facilitate understanding. A CD with the complete listing of program codes in Fortran is also included.
The Boundary Element Method In Geophysics
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Author : Shi-zhe Xu
language : en
Publisher: SEG Books
Release Date : 2001
The Boundary Element Method In Geophysics written by Shi-zhe Xu and has been published by SEG Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The boundary element method (BEM) divides only the boundaries of the region under investigation into elements, so it diminishes the dimensionality of the problem, e.g., the 3D problem becomes a 2D problem, and the 2D problem becomes a 1D problem. This simplifies inputting the model into a computer and greatly reduces the number of algebraic equations. The advantage of this is even more evident for some 3D and infinite regional problems that often are encountered in geophysics. Originally published in China, this well-organized book is likely the most comprehensive work on the subject of solving applied geophysical problems. Basic mathematical principles are introduced in Chapter 1, followed by a general yet thorough discussion of BEM in Chapter 2. Chapters 3 through 7 introduce the applications of BEM to solve problems of potential-field continuation and transformation, gravity and magnetic anomalies modeling, electric resistivity and induced polarization field modeling, magnetotelluric modeling, and various seismic modeling problems. Finally, in Chapter 8, a brief discussion is provided on how to incorporate BEM and the finite-element method (FEM) together. In each chapter, detailed practical examples are given, and comparisons to both analytic and other numerical solutions are presented. This is an excellent book for numerically oriented geophysicists and for use as a textbook in numerical-analysis classes.
The Boundary Element Method For Engineers
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Author : C. A. Brebbia
language : en
Publisher:
Release Date : 1978
The Boundary Element Method For Engineers written by C. A. Brebbia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Mathematics categories.
Dual Reciprocity Boundary Element Method
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Author : P.W. Partridge
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Dual Reciprocity Boundary Element Method written by P.W. Partridge 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.
The boundary element method (BEM) is now a well-established numerical technique which provides an efficient alternative to the prevailing finite difference and finite element methods for the solution of a wide range of engineering problems. The main advantage of the BEM is its unique ability to provide a complete problem solution in terms of boundary values only, with substantial savings in computer time and data preparation effort. An initial restriction of the BEM was that the fundamental solution to the original partial differential equation was required in order to obtain an equivalent boundary in tegral equation. Another was that non-homogeneous terms accounting for effects such as distributed loads were included in the formulation by means of domain integrals, thus making the technique lose the attraction of its "boundary-only" character. Many different approaches have been developed to overcome these problems. It is our opinion that the most successful so far is the dual reciprocity method (DRM), which is the subject matter of this book. The basic idea behind this approach is to employ a fundamental solution corresponding to a simpler equation and to treat the remaining terms, as well as other non-homogeneous terms in the original equation, through a procedure which involves a series expansion using global approximating functions and the application of reciprocity principles.
The Boundary Element Method
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Author : W.S. Hall
language : en
Publisher: Springer
Release Date : 1994
The Boundary Element Method written by W.S. Hall and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
The Boundary Element Method is a simple, efficient and cost effective computational technique which provides numerical solutions - for objects of any shap- for a wide range of scientific and engineering problems. In dealing with the development of the mathematics of the Boundary Element Method the aim has been at every stage, only to present new material when sufficient experience and practice of simpler material has been gained. Since the usual background of many readers will be of differential equations, the connection of differential equations with integral equations is explained in Chapter 1, together with analytical and numerical methods of solution. This information on integral equations provides a base for the work of subsequent chapters. The mathematical formulation of boundary integral equations for potential problems - derived from the more familiar Laplace partial differential equation which governs many important physical problems - is set out in Chapter 2. It should be noted here that this initial formulation of the boundary integral equations reduces the dimensionality of the problem. In the key Chapter 3, the essentials of the Boundary Element Method are presented. This first presentation of the Boundary Element Method is in its simplest and most approachable form - two dimensional, with the shape of the boundary approximated by straight lines and the functions approximated by constants over each of the straight lines.
A Practical Guide To Boundary Element Methods With The Software Library Bemlib
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Author : C. Pozrikidis
language : en
Publisher: CRC Press
Release Date : 2002-05-15
A Practical Guide To Boundary Element Methods With The Software Library Bemlib written by C. Pozrikidis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-15 with Mathematics categories.
The boundary-element method is a powerful numerical technique for solving partial differential equations encountered in applied mathematics, science, and engineering. The strength of the method derives from its ability to solve with notable efficiency problems in domains with complex and possibly evolving geometry where traditional methods can be d
The Complex Variable Boundary Element Method
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Author : T. V. Hromadka
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12
The Complex Variable Boundary Element Method written by T. V. Hromadka 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 2013-03-12 with Mathematics categories.
The Complex Variable Boundary Element Method or CVBEM is a generalization of the Cauchy integral formula into a boundary integral equation method or BIEM. This generalization allows an immediate and extremely valuable transfer of the modeling techniques used in real variable boundary integral equation methods (or boundary element methods) to the CVBEM. Consequently, modeling techniques for dissimilar materials, anisotropic materials, and time advancement, can be directly applied without modification to the CVBEM. An extremely useful feature offered by the CVBEM is that the pro duced approximation functions are analytic within the domain enclosed by the problem boundary and, therefore, exactly satisfy the two-dimensional Laplace equation throughout the problem domain. Another feature of the CVBEM is the integrations of the boundary integrals along each boundary element are solved exactly without the need for numerical integration. Additionally, the error analysis of the CVBEM approximation functions is workable by the easy-to-understand concept of relative error. A sophistication of the relative error analysis is the generation of an approximative boundary upon which the CVBEM approximation function exactly solves the boundary conditions of the boundary value problem' (of the Laplace equation), and the goodness of approximation is easily seen as a closeness-of-fit between the approximative and true problem boundaries.
The Boundary Element Method Applied To Inelastic Problems
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Author : J.C.F. Telles
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Boundary Element Method Applied To Inelastic Problems written by J.C.F. Telles 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.
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.
Boundary Elements And Other Mesh Reduction Methods
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Author : C.A. Brebbia
language : en
Publisher: WIT Press
Release Date : 2018-02-01
Boundary Elements And Other Mesh Reduction Methods written by C.A. Brebbia and has been published by WIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-01 with Mathematics categories.
Formed of presented papers this volume contains research from the 40th International Conference on Boundary Elements and other Mesh Reduction Methods, recognised as THE international forum for the latest advances in these techniques and their applications in science and engineering. The ongoing success of this series is a result of the strength of research being carried out all over the world and the coverage has continually evolved in line with the latest developments in the field. The books originating from this conference series constitute a record of the development of BEM/MRM, running from the initial successful development of boundary integral techniques into the boundary element method, a technique that eliminates the need for an internal mesh, to the recent and most sophisticated Mesh Reduction and even Meshless Methods. Since these methods are used in many engineering and scientific fields the 2017 book, Boundary Elements and other Mesh Reduction Methods XXXX, like the series before, will be of great interest to those working within the areas of numerical analysis, boundary elements and meshless methods. The research papers included in this volume cover: Advanced formulations; Advanced meshless and mesh reduction methods; Structural mechanics applications; Solid mechanics; Heat and mass transfer; Electrical engineering and electromagnetics; Computational methods; Fluid flow modelling; Damage mechanics and fracture; Dynamics and vibrations; Engineering applications; Interfacing with other methods; Coupling with design and manufacturing; Solution of large systems of equations.