The boundary element method (BEM) is now a well-established
numerical technique which provides an efficient alternative to the
prevailing finite difference and finite element methods for the
solution of a wide range of engineering problems. The main
advantage of the BEM is its unique ability to provide a complete
problem solution in terms of boundary values only, with substantial
savings in computer time and data preparation effort. An initial
restriction of the BEM was that the fundamental solution to the
original partial differential equation was required in order to
obtain an equivalent boundary in tegral equation. Another was that
non-homogeneous terms accounting for effects such as distributed
loads were included in the formulation by means of domain
integrals, thus making the technique lose the attraction of its
"boundary-only" character. Many different approaches have been
developed to overcome these problems. It is our opinion that the
most successful so far is the dual reciprocity method (DRM), which
is the subject matter of this book. The basic idea behind this
approach is to employ a fundamental solution corresponding to a
simpler equation and to treat the remaining terms, as well as other
non-homogeneous terms in the original equation, through a procedure
which involves a series expansion using global approximating
functions and the application of reciprocity principles.
General
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