Preface
The boundary element method originated at Southampton
University from previous work on classical integral equations and
finite elements. The new method has the advantages of both tech-
niques, that is, it reduces the dimensions of the problem by one as
boundary integral equations and it allows for complex surface
elements to define the external surface of the domain. It represents
an advance over classical finite elements and overcomes many of the
main disadvantages such as the difficulty of defining with accuracy
domains extending to infinity, having to solve large systems of
equations and the need to define complicated data structure.
The method is ideally suited to the solution of many two- and three-
dimensional problems in elasticity and potential theory for which
finite elements, although popular, are inefficient. In the authors'
opinion, finite elements are appropriate for problems such as shells,
highly anisotropic media, some non-linear and convective problems
but their applicability to a wide range of problems has been over-
stated. This is doubtless due to the energy of finite element researchers
as well as to the coincidental appearance of the method with the
development of the first generation of powerful computers. The
authors are also aware that the boundary element may not appeal to
present-day finite element-oriented engineers and consequently
dedicate this book to the coming generation with the warning that
they should never take any written work as definitive. Therefore we
not only expect but clearly hope that this book will be superseded
in due course and that, when this happens, we shall be able to bow
gracefully rather than enter into fruitless argument.
It is suggested that readers who wish to have an introduction to
boundary elements and a basic knowledge of how boundary element
programs are developed should refer to the main author's earlier book,
The Boundary Element Method for Engineers (Pentech Press, London,
1978).
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