Abstract: The limiting process that leads to the formulation of hypersingular boundary integral equations is first discussed in detail. It is shown that boundary integral equations with hypersingular kernels ...

Abstract: This paper discusses the application of the Boundary Integral Equation method for the numerical solution of radiation problems governed by Helmholtz’s equation. In particular, we introduce an ...

Abstract: The properties of hypersingular integrals, which arise when the gradient of conventional boundary integrals is taken, are discussed. Interpretation in terms of Hadamard finite-part integrals, even ...