activity
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

collaborators

51 papers

math.NA2026

ROMNet: a hybrid reduced order modeling and machine learning approach to waveform inversion

Liliana Borcea, Alexander Mamonov, Kui Ren +2

Waveform inversion seeks to estimate the wave speed of a heterogeneous, inaccessible medium, from time-resolved measurements of the waves at user controlled sensors. We consider th…

math.NA2026

Quantitative synthetic aperture radar inversion

Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1

We study an inverse scattering problem for monostatic synthetic aperture radar (SAR): Estimate the wave speed in a heterogeneous, isotropic and nonmagnetic medium probed by waves e…

math.NA2025★ 2 cited

Reduced Order Modeling for First Order Hyperbolic Systems with Application to Multiparameter Acoustic Waveform Inversion

Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1

Waveform inversion seeks to estimate an inaccessible heterogeneous medium from data gathered by sensors that emit probing signals and measure the generated waves. It is an inverse…

math.NA2024

Electromagnetic inverse wave scattering in anisotropic media via reduced order modeling

Liliana Borcea, Yiyang Liu, Jörn Zimmerling

The inverse wave scattering problem seeks to estimate a heterogeneous, inaccessible medium, modeled by unknown variable coefficients in wave equations, from transient recordings of…

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.NA2023

When data driven reduced order modeling meets full waveform inversion

Liliana Borcea, Josselin Garnier, Alexander V. Mamonov +1

Waveform inversion is concerned with estimating a heterogeneous medium, modeled by variable coefficients of wave equations, using sources that emit probing signals and receivers th…