Programming the Boundary Element Method

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.Randwertmethoden wendet man zur Lösung vielfältiger physikalischer Probleme an. Da man auf diese Weise eine vollständige Lösung ausschließlich in Abhängigkeit von Randwerten erhalten kann, werden diese zeitsparenden und zuverlässigen Verfahren auch in der Technik immer beliebter. Dieser Band erklärt Randwertmethoden weniger mathematisch als aus der Sicht des Anwenders. Programmiert wird mit FORTRAN 95. (07/00) Preface.
Acknowledgements.
Preliminaries.
Programming.

Discretisation and Interpolation.
Material Modelling and Fundamental Solutions.
Boundary Integral Equations.
Boundary Element Methods -
Numerical Implementation.
Assembly and Solution.
Postprocessing.
Test Examples.
Multiple Regions.
Edges and Corners.
Body Forces.
Non-Linear Problems.
Coupled Boundary Element/Finite Element Analysis.
Industrial Applications.
Appendix A: Program Libraries.
Appendix B: Answers to Exercises.
Index. 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. 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.