activity
20152025
most citedGeneralized linear sampling method for elastic-wave sensing of heterogeneous fractures

29 citations · 83 across the 15 of their papers we have counts for

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8 papers · 1 filter

math.NA2025

Deep regularization networks for inverse problems with noisy operators

Fatemeh Pourahmadian, Yang Xu

A supervised learning approach is proposed for regularization of large inverse problems where the main operator is built from noisy data. This is germane to superresolution imaging…

math.NA2024

Ensemble WSINDy for Data Driven Discovery of Governing Equations from Laser-based Full-field Measurements

Abigail C. Schmid, Alireza Doostan, Fatemeh Pourahmadian

This work leverages laser vibrometry and the weak form of the sparse identification of nonlinear dynamics (WSINDy) for partial differential equations to learn macroscale governing…

math.NA2023★ 12 cited

Deep learning for full-field ultrasonic characterization

Yang Xu, Fatemeh Pourahmadian, Jian Song +1

This study takes advantage of recent advances in machine learning to establish a physics-based data analytic platform for distributed reconstruction of mechanical properties in lay…

math.NA2022★ 2 cited

Time- vs. frequency- domain inverse elastic scattering: Theory and experiment

Xiaoli Liu, Jian Song, Fatemeh Pourahmadian +1

This study formally adapts the time-domain linear sampling method (TLSM) for ultrasonic imaging of stationary and evolving fractures in safety-critical components. The TLSM indicat…

math.NA2021★ 4 cited

Poroelastic near-field inverse scattering

Fatemeh Pourahmadian, Kevish Napal

A multiphysics data analytic platform is established for imaging poroelastic interfaces of finite permeability (e.g., hydraulic fractures) from elastic waveforms and/or acoustic po…

math.NA2019

Differential tomography of micromechanical evolution in elastic materials of unknown micro/macrostructure

Fatemeh Pourahmadian, Houssem Haddar

Differential evolution indicators are introduced for 3D spatiotemporal imaging of micromechanical processes in complex materials where progressive variations due to manufacturing a…

math.NA2018

Real-time imaging of interfacial damage in layered composites

Fatemeh Pourahmadian, Irene de Teresa

A theoretical platform is developed for active elastic-wave sensing of (stationary and advancing) fractures along bi-material interfaces in layered composites. Damaged contact surf…

math.NA2016★ 14 cited

A synoptic approach to the seismic sensing of heterogeneous fractures: from geometric reconstruction to interfacial characterization

Fatemeh Pourahmadian, Bojan B. Guzina, Houssem Haddar

A non-iterative waveform sensing approach is proposed toward (i) geometric reconstruction of penetrable fractures, and (ii) quantitative identification of their heterogeneous conta…