The technique of the boundary element method consists of subdividing
the boundary of the field of a function into a series of
discrete elements, over which the function can vary. This technique
offers important advantages over domain type solutions such as finite
elements and finite differences. One of the most important
features of the method is the much smaller system of equations and the
considerable reduction in data required to run a program. Furthermore,
the method is well-suited to problems with an infinite domain.
Boundary element methods can be formulated using two different
approaches called the ‘direct’ and the ‘indirect’ methods. [Continues.]
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.