3 papers
math.NA2024
The Helmholtz Dirichlet and Neumann problems on piecewise smooth open curves
Johan Helsing, Shidong Jiang
A numerical scheme is presented for solving the Helmholtz equation with Dirichlet or Neumann boundary conditions on piecewise smooth open curves, where the curves may have corners…
math.NA2024
Recursive reduction quadrature for the evaluation of Laplace layer potentials in three dimensions
Shidong Jiang, Hai Zhu
A high-order quadrature scheme is constructed for the evaluation of Laplace single and double layer potentials and their normal derivatives on smooth surfaces in three dimensions.…
physics.comp-ph2023
Design of perfectly conducting objects that are invisible to an incident plane wave
Johan Helsing, Shidong Jiang, Anders Karlsson
This work concerns the design of perfectly conducting objects that are invisible to an incident transverse magnetic plane wave. The object in question is a finite planar waveguide…