35 citations · 67 across the 8 of their papers we have counts for
9 papers
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…
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…
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…
Efficient Computation of Extended Surface Sources
William W. Symes
Source extension is a reformulation of inverse problems in wave propagation, that at least in some cases leads to computationally tractable iterative solution methods. The core sub…
Solution of an Acoustic Transmission Inverse Problem by Extended Inversion
William W. Symes, Huiyi Chen, Susan E. Minkoff
Study of a simple single-trace transmission example shows how an extended source formulation of full-waveform inversion can produce an optimization problem without spurious local m…
Error Bounds for Extended Source Inversion applied to an Acoustic Transmission Inverse Problem
William W. Symes
A simple inverse problem for the wave equation requires determination of both the wave velocity in a homogenous acoustic material and the transient waveform of an isotropic point r…
Full Waveform Inversion by Source Extension: Why it works
William W. Symes
An extremely simple single-trace transmission example shows how an extended source formulation of full waveform inversion can produce an optimization problem without spurious local…
Wavefield Reconstruction Inversion: an example
William W. Symes
Nonlinear least squares data-fitting driven by physical process simulation is a classic and widely successful technique for the solution of inverse problems in science and engineer…
A mathematical framework for inverse wave problems in heterogeneous media
Kirk D. Blazek, Christiaan C. Stolk, William W. Symes
This paper provides a theoretical foundation for some common formulations of inverse problems in wave propagation, based on hyperbolic systems of linear integro-differential equati…