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20112026
most citedA model reduction approach to numerical inversion for a parabolic partial differential equation

31 citations · 213 across the 40 of their papers we have counts for

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5 papers · 1 filter

math-ph2024

Enhanced wave transmission in random media with mirror symmetry

Liliana Borcea, Josselin Garnier

We present an analysis of enhanced wave transmission through random media with mirror symmetry about a reflecting barrier. The mathematical model is the acoustic wave equation and…

math-ph2016

Imaging in random media with convex optimization

Liliana Borcea, Ilker Kocyigit

We study an inverse problem for the wave equation where localized wave sources in random scattering media are to be determined from time resolved measurements of the waves at an ar…

math-ph2013★ 1 cited

Electromagnetic wave propagation in random waveguides

Ricardo Alonso, Liliana Borcea

We study long range propagation of electromagnetic waves in random waveguides with rectangular cross-section and perfectly conducting boundaries. The waveguide is filled with an is…

math-ph2011★ 16 cited

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…

math-ph2011★ 6 cited

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…