3 papers
math.NA2022
Spectral Galerkin method for solving elastic wave scattering problems with multiple open arcs
Carlos Jerez-Hanckes, Jose Pinto, Tao Yin
We study the elastic time-harmonic wave scattering problems on unbounded domains with boundaries composed of finite collections of disjoints finite open arcs (or cracks) in two dim…
math.NA2020
Fast Galerkin Method for Solving Helmholtz Boundary Integral Equations on Screens
Jose Pinto, Carlos Jerez-Hanckes
We solve first-kind Fredholm boundary integral equations arising from Helmholtz and Laplace problems on bounded, smooth screens in three-dimensions with either Dirichlet or Neumann…
math.NA2020
Fast Solver for Quasi-Periodic 2D-Helmholtz Scattering in Layered Media
José Pinto, Rubén Aylwin, Carlos Jerez-Hanckes
We present a fast spectral Galerkin scheme for the discretization of boundary integral equations arising from two-dimensional Helmholtz transmission problems in multi-layered perio…