On the Separation of Singularities in the Numerical Solution of Integral Equations of the Potential Theory

Аннотация

We propose new procedures for the separation of singularities in the kernel and in the potential density for weakly singular Fredholm integral equations for the simple-layer potential in the case where the boundary surface has edges, ribs, and corner points. These procedures are based on the projection methods for the solution of these equations and finite-element approximations of the required potential density.