Recursive reduction quadrature for the evaluation of Laplace layer
potentials in three dimensions
Recursive reduction quadrature for the evaluation of Laplace layer
potentials in three dimensions
A high-order quadrature rule is constructed for the evaluation of Laplace single and double layer potentials and their normal derivatives on smooth surfaces in three dimensions. The construction begins with a harmonic approximation of the density {\it on each patch}, which allows for a natural harmonic polynomial extension in a …