1 citations · 1 across the 6 of their papers we have counts for
11 papers
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…
Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains
Rubén Aylwin, Carlos Jerez-Hanckes
We consider the problem of domain approximation in finite element methods for Maxwell equations on curved domains, i.e., when affine or polynomial meshes fail to exactly cover the…
Shape differentiability of Helmholtz scattering problems via explicit shape calculus
Paul Escapil-Inchauspé, Carlos Jerez-Hanckes
We consider the time-harmonic scalar wave scattering problems with Dirichlet, Neumann, impedance and transmission boundary conditions. Under this setting, we analyze how sensitive…
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…
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…
The effect of quadrature rules on finite element solutions of Maxwell variational problems. Consistency estimates on meshes with straight and curved elements
Rubén Aylwin, Carlos Jerez-Hanckes
We study the effects of numerical quadrature rules on error convergence rates when solving Maxwell-type variational problems via the curl-conforming or edge finite element method.…