18 citations · 36 across the 25 of their papers we have counts for
4 papers · 1 filter
A sparsity-constrained sampling method with applications to communications and inverse scattering
Isaac Harris, Jacob D Rezac
We introduce the sparse direct sampling method (DSM) to estimate properties of a region from signals that probe the region. We demonstrate the sparse-DSM on two separate problems:…
Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem
Isaac Harris
In this paper, we consider the numerical approximation of the Steklov eigenvalue problem that arises in inverse acoustic scattering. The underlying scattering problem is for an inh…
Dirichlet spectral-Galerkin approximation method for the simply supported vibrating plate eigenvalues
Isaac Harris
In this paper, we analyze and implement the Dirichlet spectral-Galerkin method for approximating simply supported vibrating plate eigenvalues with variable coefficients. This is a…
The direct and inverse problem for sub-diffusion equations with a generalized impedance subregion
Isaac Harris
In this paper, we consider the direct and inverse problem for time-fractional diffusion in a domain with an impenetrable subregion. Here we assume that on the boundary of the subre…