The boundary element method (BEM) can be applied to a wide range of physical problems and is particularly efficient and accurate for problems defined over unbounded regions, problems with stress concentrations or singularities and moving boundaries. Since it can provide a complete solution in terms of boundary values only, the BEM has become a viable alternative to more traditional computational methods of mathematical engineering that offers substantial savings in computing time and data preparation effort. This book focuses on explanations of the BEM from an engineering perspective rather than a mathematical one to clarify the method. It also shows that programming the BEM need not be complicated when using a modern programming language such as FORTRAN 95.
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Providing an easy introduction to the boundary element method, this book is ideal for any reader wishing to work in this field or use this method for the solution of engineering problems. From the beginning, the emphasis is on the implementation of the method into computer programs which can be used to solve real problems. The book covers two–andthree–dimensional linear and non–linear analysis in potential flow (heat flow and seepage) and static elasticity. Several computer programs are listed in the book and may be downloaded free of charge via the Internet. They include programs and subroutines for:
∗ 2–D analysis of potential problems using the Trefftz method
∗ 2–D and 3–D linear analysis of potential and static elasticity problems using isoparametric elements (single and multiple regions)
∗ implementation of non–linear problems
∗ coupling to finite elements
The programs (written in FORTRAN 90) are well documented, and can be employed by the user to gain experience with the method through the solution of small test examples. Furthermore, readers may use them as a starting point for developing their own boundary element package. In addition, exercises are included in most chapters involving the use of the programs with answers given in an Appendix, and a number of interesting industrial applications in the areas of mechanical, civil and geotechnical engineering are presented.
GERNOT BEER is Professor of Structural Analysis at the University of Technology Graz, Austria. He has worked in the area of numerical modelling for more than two decades and has done some pioneering work in the coupling of the FEM and BEM. He is the author of the BEFE program, still the only commercial software available which completely integrates both these methods. This is his second book on the topic.
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