Solution of Two Dimensional Stationary and Non-stationary Electromagnetic Field Problems by Using Boundary Element Method PDF Download

Author: Said Mohamed El-Halafawy
Publisher:
ISBN:
Category :
Languages : cs
Pages : 133

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Author: BREBBIA
Publisher: Springer Science & Business Media
ISBN: 147576300X
Category : Science
Languages : en
Pages : 226

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Book Description
A substantial amount of research on Boundary Elements has taken place since publication of the first Volume of this series. Most of the new work has concentrated on the solution of non-linear and time dependent problems and the development of numerical techniques to increase the efficiency of the method. Chapter 1 of this Volume deals with the solution of non-linear potential problems, for which the diffusivity coefficient is a function of the potential and the boundary conditions are also non-linear. The recent research reported here opens the way for the solution of a: large range of non-homogeneous problems by using a simple transformation which linearizes the governing equations and consequently does not require the use of internal cells. Chapter 2 summarizes the main integral equations for the solution of two-and three dimensional scalar wave propagation problems. This is a type of problem that is well suited to boundary elements but generally gives poor results when solved using finite elements. The problem of fracture mechanics is studied in Chapter 3, where the ad vantages of using boundary integral equations are demonstrated. One of the most interesting features of BEM i~ the possibility of describing the problem only as a function of the boundary unknowns, even in the presence of body, centrifugal and temperature induced forces. Chapter 4 explains how this can be done for two-and three-dimensional elastostatic problems.

Author: S. Kobayashi
Publisher: Springer Science & Business Media
ISBN: 3662061538
Category : Technology & Engineering
Languages : en
Pages : 422

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The Boundary Element Methods (BEM) has become one of the most efficient tools for solving various kinds of problems in engineering science. The International Association for Boundary Element Methods (IABEM) was established in order to promote and facilitate the exchange of scientific ideas related to the theory and applications of boundary element methods. The aim of this symposium is to provide a forum for researchers in boundary element methods and boundary-integral formulations in general to present contemporary concepts and techniques leading to the advancement of capabilities and understanding of this com putational methodology. The topics covered in this symposium include mathematical and computational aspects, applications to solid mechanics, fluid mechanics, acoustics, electromagnetics, heat transfer, optimization, control, inverse problems and other interdisciplinary problems. Papers deal ing with the coupling of the boundary element method with other computational methods are also included. The editors hope that this volume presents some innovative techniques and useful knowl edge for the development of the boundary element methods. February, 1992 S. Kobayashi N. Nishimura Contents Abe, K.

Author: C. Pozrikidis
Publisher: CRC Press
ISBN: 1420035258
Category : Mathematics
Languages : en
Pages : 438

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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

Author: Ghodratollah Karami
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 264

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Author: Carlos A. Brebbia
Publisher: Springer
ISBN: 9783540506072
Category : Mathematics
Languages : en
Pages : 256

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General Applications of BEM to electromagnetic problems are comparatively new although the method is ideally suited to solve these problems, which usually involve unbounded domains. The present volume comprises contributions by eminent researchers working on applications of boundary elements in electromagnetic problems. The volume deals with the solutions of Maxwell's equation for three-dimensional as well as two-dimensional cases. It also discusses combination of BEM with FEM particularly in the case of saturated media. Some chapters specifically deal with the design of electromagnetic devices. The book is essential reading to those engineers and scientists, who are interested in the state of the art for electrical and electromagnetic application of boundary elements. It is also an important reference for those engineers who are working on the design of electromagnetic components many of which can be advantageously carried out using BEM.

Author: C. A. Brebbia
Publisher:
ISBN:
Category : Boundary element methods
Languages : en
Pages : 332

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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 704

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Author: Ghodratollah Karami
Publisher: Springer
ISBN: 9783642838989
Category : Technology & Engineering
Languages : en
Pages : 243

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The Boundary Element Method (BEM) has been established as a powerful numerical tool for the analysis of continua in recent years. The method is based on an attempt to transfer the governing differential equations into integral equations over the boundary. Thus, the discretization scheme or the intro duction of any approximations must be done over the boundary. This book presents a BEM for two-dimensional elastic, thermo -elastic and body-force contact problems. The formulation is implemented for the general case of contact with various fric tional conditions. The analysis is limited to linear elasto statics and small strain theory. Following a review of the basic nature of contact problems, the analytical basis of the direct formulation of the BEM method is described. The numerical implementation employs three-noded isoparametric line elements for the representa tion of the boundary of the bodies in contact. Opposite nodal points in equi-Iength element-pairs are defined on the two surfaces in the area which is expected to come into contact under an increasing load. The use of appropriate contact IV conditions enables the integral equations for the two bodies to be coupled together. To find the proper contact dimensions and the contact load a combined incremental and iterative approach is utilised. With this approach, the loads are applied progressively, and the sliding and adhering portion of the contact region is established for each load increment using an iterative procedure. A coulomb type of friction law is assumed.

Author: A. Ali
Publisher: CRC Press
ISBN: 9789058096579
Category : Mathematics
Languages : en
Pages : 212

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The Boundary Element Method, or BEM, is a powerful numerical analysis tool with particular advantages over other analytical methods. With research in this area increasing rapidly and more uses for the method appearing, this timely book provides a full chronological review of all techniques that have been proposed so far, covering not only the fundamentals of the BEM but also a wealth of information on related computational analysis techniques and formulations, and their applications in engineering, physics and mathematics. An indispensable handbook and source of inspiration for researchers and professionals in these fields, this book is also an ideal textbook for graduate engineering students.