[02377] Accurate approximation of layer potentials evaluated near surfaces of spherical topology
Session Time & Room : 4C (Aug.24, 13:20-15:00) @E704
Type : Contributed Talk
Abstract : Layer potentials, integrals representing the solution of a PDE when solved using boundary integral methods, are notoriously difficult to accurately evaluate close to the boundary of the domain due to a rapidly varying integrand. The presented quadrature method resolves this key challenge by factoring the integrand into a smooth and a simpler nearly singular part, then efficiently expanding the smooth part in a new basis and treating the remaining nearly singular integrals analytically.
