20 citations · 26 across the 9 of their papers we have counts for
4 papers · 1 filter
Quadrature by Parity Asymptotic eXpansions (QPAX) for scattering by high aspect ratio particles
Camille Carvalho, Arnold D. Kim, Lori Lewis +1
We study scattering by a high aspect ratio particle using boundary integral equation methods. This problem has important applications in nanophotonics problems, including sensing a…
Asymptotic approximations for the close evaluation of double-layer potentials
Camille Carvalho, Shilpa Khatri, Arnold D. Kim
When using the boundary integral equation method to solve a boundary value problem, the evaluation of the solution near the boundary is challenging to compute because the layer pot…
Close evaluation of layer potentials in three dimensions
S. Khatri, A. D. Kim, Ricado Cortez +1
We present a simple and effective method for evaluating double-and single-layer potentials for Laplace's equation in three dimensions close to the boundary. The close evaluation of…
Asymptotic analysis for close evaluation of layer potentials
Camille Carvalho, Shilpa Khatri, Arnold D Kim
We study the evaluation of layer potentials close to the domain boundary. Accurate evaluation of layer potentials near boundaries is needed in many applications, including fluid-st…