2 papers
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.…
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…