CPV and HFP integrals and their applications in the boundary element method

The subject of this paper is Hadamard Finite Part (HFP) and Cauchy Principal Value (CPV) representations of certain singular integrals. Of primary concern here are HFP interpretations of strongly singular integrals for which CPV interpretations also exist. A relationship between the two is stated and proved. This matter is then illustrated by two examples and also discussed in the context of singular boundary integral equations (BIEs) for linear elasticity