An explicit kernel-split panel-based Nyström scheme for integral equations on axially symmetric surfaces
Provides a high-accuracy numerical method for solving Helmholtz problems in axially symmetric geometries, which is incremental for computational electromagnetics and acoustics.
Developed a high-order accurate Nyström scheme for Helmholtz integral equations on axially symmetric surfaces, achieving very high accuracy including near-boundary field evaluation.
A high-order accurate, explicit kernel-split, panel-based, Fourier-Nyström discretization scheme is developed for integral equations associated with the Helmholtz equation in axially symmetric domains. Extensive incorporation of analytic information about singular integral kernels and on-the-fly computation of nearly singular quadrature rules allow for very high achievable accuracy, also in the evaluation of fields close to the boundary of the computational domain.