3 papers
math.AP2025
Well-posed Questions for Ill-posed Inverse Problems: a Note in Memory of Pierre Sabatier
Gaoming Chen, Fadil Santosa, William W. Symes
Professor Pierre Sabatier contributed much to the study of inverse problems in theory and practice. Two of these contributions were a focus on theory that actually supports practic…
math.OC2024
Adaptive waveform inversion for transmitted wave data
William W. Symes
Adaptive Waveform Inversion (AWI) applied to transient transmitted wave data can yield estimates of index of refraction (or wave velocity) similar to those obtained by travel time…
math.OC2024
A numerical investigation of Matched Source Waveform Inversion applied to acoustic transmission data
William W. Symes, Huiyi Chen, Susan E. Minkoff
Iterative inversion of seismic, ultrasonic, and other wave data by local gradient-based optimization of mean-square data prediction error (Full Waveform Inversion or FWI) can fail…