12 citations · 41 across the 7 of their papers we have counts for
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Sensitivity analysis for active control of the Helmholtz equation
Mark Hubenthal, Daniel Onofrei
The results in \cite{O2} (see \cite{O1} for the quasistatics regime) consider the Helmholtz equation with fixed frequency and, in particular imply that, for outside a discr…
The Broken Ray Transform in Dimensions with Flat Reflecting Boundary
Mark Hubenthal
We study the broken ray transform on -dimensional Euclidean domains where the reflecting parts of the boundary are flat and establish injectivity and stability under certain con…
The Broken Ray Transform On The Square
Mark Hubenthal
We study a particular broken ray transform on the Euclidean unit square and establish injectivity and stability for perturbations of the constant unit weight. Given an…
Numerical Recovery of Source Singularities via the Radiative Transfer Equation with Partial Data
Mark Hubenthal
The inverse source problem for the radiative transfer equation is considered, with partial data. Here we demonstrate numerical computation of the normal operator w…
An Inverse Source Problem in Radiative Transfer with Partial Data
Mark Hubenthal
The inverse source problem for the radiative transfer equation is considered, with partial data. Here it is shown that under certain smoothness conditions on the scattering and abs…