Boundary Element Methods
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Boundary Element Methods
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Author : Goong Chen
language : en
Publisher:
Release Date : 1992
Boundary Element Methods written by Goong Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Boundary element methods categories.
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.
Boundary Element Methods In Engineering Science
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Author : P. K. Banerjee
language : en
Publisher: McGraw-Hill (UK)
Release Date : 1981
Boundary Element Methods In Engineering Science written by P. K. Banerjee and has been published by McGraw-Hill (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
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.
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 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.
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 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.
Boundary Element Methods
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Author : Stefan A. Sauter
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-01
Boundary Element Methods written by Stefan A. Sauter 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 2010-11-01 with Mathematics categories.
This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $\mathbb{R}^3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way.
The Boundary Element Method For Engineers
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Author : C. A. Brebbia
language : en
Publisher:
Release Date : 1984
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 1984 with Mathematics categories.