162 citations · 509 across the 21 of their papers we have counts for
8 papers · 1 filter
Restarted inverse Born series for the Schrödinger problem with discrete internal measurements
Patrick Bardsley, Fernando Guevara Vasquez
Convergence and stability results for the inverse Born series [Moskow and Schotland, Inverse Problems, 24:065005, 2008] are generalized to mappings between Banach spaces. We show t…
Characterization and Synthesis of Rayleigh Damped Elastodynamic Networks
Alessandro Gondolo, Fernando Guevara Vasquez
We consider damped elastodynamic networks where the damping matrix is assumed to be a non-negative linear combination of the stiffness and mass matrices (also known as Rayleigh or…
Mathematical analysis of the two dimensional active exterior cloaking in the quasistatic regime
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei
We design a device that generates fields canceling out a known probing field inside a region to be cloaked while generating very small fields far away from the device. The fields w…
Resistor network approaches to electrical impedance tomography
Liliana Borcea, Vladimir Druskin, Fernando Guevara Vasquez +1
We review a resistor network approach to the numerical solution of the inverse problem of electrical impedance tomography (EIT). The networks arise in the context of finite volume…
Transformation elastodynamics and active exterior acoustic cloaking
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei +1
This chapter consists of three parts. In the first part we recall the elastodynamic equations under coordinate transformations. The idea is to use coordinate transformations to man…
Study of noise effects in electrical impedance tomography with resistor networks
Liliana Borcea, Fernando Guevara Vasquez, Alexander V. Mamonov
We present a study of the numerical solution of the two dimensional electrical impedance tomography problem, with noisy measurements of the Dirichlet to Neumann map. The inversion…
Broadband Exterior Cloaking
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei
It is shown how a recently proposed method of cloaking is effective over a broad range of frequencies. The method is based on three or more active devices. The devices, while not r…
Active Exterior Cloaking
Fernando Guevara Vasquez, Graeme W. Milton, Daniel Onofrei
A new method of cloaking is presented. For two-dimensional quasistatics it is proven how a single active exterior cloaking device can be used to shield an object from surrounding f…