6 papers
A surrogate-Bayesian algorithm for scatterer shape identification from phaseless data
Erik Garcia Neefjes, Stuart C. Hawkins, Mahadevan Ganesh
This work addresses the reconstruction of a scatterer's shape from phaseless far field-intensity data arising from multiple incident waves interacting with the scatterer. We formul…
Far-Field Sensitivity to Local Boundary Perturbations in 2D Wave Scattering
Erik García Neefjes, Stuart C. Hawkins
We numerically investigate the sensitivity of the scattered wave field to perturbations in the shape of a scattering body illuminated by an incident plane wave. This study is motiv…
Machine learning on manifolds for inverse scattering: Lipschitz stability analysis
Mahadevan Ganesh, Stuart C. Hawkins, Darko Volkov
Establishing Lipschitz stability estimates is crucial for ensuring the mathematical robustness of neural network (NN) approximations in machine learning (ML)-based parameter estima…
An all-frequency stable integral system for Maxwell's equations in 3-D penetrable media: continuous and discrete model analysis
Mahadevan Ganesh, Stuart C. Hawkins, Darko Volkov
We introduce a new system of surface integral equations for Maxwell's transmission problem in three dimensions. This system has two remarkable features, both of which we prove. Fir…
An efficient epistemic uncertainty quantification algorithm for a class of stochastic models: A post-processing and domain decomposition framework
Mahadevan Ganesh, Stuart C Hawkins, Alexandre Tartakovsky +1
Partial differential equations (PDEs) are fundamental for theoretically describing numerous physical processes that are based on some input fields in spatial configurations. Unders…
A well-posed surface currents and charges system for electromagnetism in dielectric media
M. Ganesh, S. C. Hawkins, C. Jeznach +1
The free space Maxwell dielectric problem can be reduced to a system of surface integral equations (SIE). A numerical formulation for the Maxwell dielectric problem using an SIE sy…