Robust Algorithms for Boundary-Element Integrals on Curved Surfaces

This paper presents a new approach to computing 1=r singularities on curved panels. By using carefully chosen mapping techniques, a curved panel with curved edges is mapped to a at panel with straight edges. An-alytical formulas for at panel integrals are then used to give approximate curved panel integration solution. For those curved panels with reasonably large curvatures and smooth edges, this method can eÆciently achieve excellent accuracy(10 5 % error)