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This introductory course on the classical Boundary Element Method also contains advanced topics such as the Dual Reciprocity and the Hybrid Boundary Element Methods. The latter methods are extensions that permit the application of BME to anisotropic materials, as well as multi-field problems and fluid-structure interaction. The class-tested textbook offers a clear and easy-to-understand introduction to the subject, including worked-out examples that describe all the basic features of the method. The first two chapters not only establish the mathematical basis for BEM but also review the basics of continuum mechanics for field problems, perhaps a unique feature for a text on numerical methods. This helps the reader to understand the physical principles of the field problems, to apply the method judiciously, and toe critically evaluate the results.
Over the past decades, the Boundary Element Method has emerged as a
ver satile and powerful tool for the solution of engineering
problems, presenting in many cases an alternative to the more
widely used Finite Element Method. As with any numerical method,
the engineer or scientist who applies it to a practical problem
needs to be acquainted with, and understand, its basic principles
to be able to apply it correctly and be aware of its limitations.
It is with this intention that we have endeavoured to write this
book: to give the student or practitioner an easy-to-understand
introductory course to the method so as to enable him or her to
apply it judiciously. As the title suggests, this book not only
serves as an introductory course, but also cov ers some advanced
topics that we consider important for the researcher who needs to
be up-to-date with new developments. This book is the result of our
teaching experiences with the Boundary Element Method, along with
research and consulting activities carried out in the field. Its
roots lie in a graduate course on the Boundary Element Method given
by the authors at the university of Stuttgart. The experiences
gained from teaching and the remarks and questions of the students
have contributed to shaping the 'Introductory course' (Chapters
1-8) to the needs of the stu dents without assuming a background in
numerical methods in general or the Boundary Element Method in
particular."
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