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math.NA2025
Optimal Space-Variant Anisotropic Tikhonov Regularization for Full Waveform Inversion of Sparse Data
Ali Gholami, Silvia Gazzola
Full waveform inversion (FWI) is a challenging, ill-posed nonlinear inverse problem that requires robust regularization techniques to stabilize the solution and yield geologically…
math.NA2024
Automatic nonstationary anisotropic Tikhonov regularization through bilevel optimization
Silvia Gazzola, Ali Gholami
Regularization techniques are necessary to compute meaningful solutions to discrete ill-posed inverse problems. The well-known 2-norm Tikhonov regularization method equipped with a…
math.NA2024
Robust elastic full-waveform inversion using an alternating direction method of multipliers with reconstructed wavefields
Kamal Aghazade, Ali Gholami, Hossein S. Aghamiry +1
Elastic full-waveform inversion (EFWI) is a process used to estimate subsurface properties by fitting seismic data while satisfying wave propagation physics. The problem is formula…