A high-order accurate accelerated direct solver for acoustic scattering from surfaces

We describe an accelerated direct solver for the integral equations which model low-frequency acoustic scattering from curved surfaces. Surfaces are specified via a collection of smooth parameterizations given on triangles, a setting which generalizes the typical one of triangulated surfaces, and the integral equations are discretized via a high-order Nyström method. This allows for rapid convergence in cases in which high-order surface...