Hypersingular boundary integral equations have an additional free term
The paper is devoted to the boundary element method based on the hypersingular formulation. In such a case boundary integral equations have hypersingular kernels. Generally, free terms arise in boundary integral equations when the source (collocation) point is located at a non-smooth boundary point. Free terms for the hypersingular case were considered by several researchers. It was overlooked that in some particular case (typically corner points between curved boundaries) some additional free terms may arise. In this paper it is shown that hypersingular boundary integral equations may have an additional free term which has been erroneously omitted in former analyses.
hypersingular boundary integral equations
scientific article; zbMATH DE number 797298