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The transformation of domain integrals to the boundary is one of the most challenging and important parts of boundary element research. Numerous problems involve the treatment of different types of domain integrals and this has led many researchers to develop techniques that convert domain into boundary integrals. These range from the use of an alytical solutions to the more innovative Dual and Multiple Reciprocity Methods. This book presents a review of existing methods as well as a series of new developments in analytical and numerical methods to treat domain integrals.