@Presentation {vanleeuwen2013SINBADsda,
title = {Solving the data-augmented wave equation},
journal = {SINBAD Fall consortium talks},
year = {2013},
publisher = {SINBAD},
abstract = {The recently proposed penalty method promises to mitigate some of the non-linearity inherent in full-waveform inversion by relaxing the requirement that the wave-equation needs to be solved exactly. The basic workflow of this new method is as follows; i) solve an overdetermined wave-equation (the data-augmented wave-equation), where the data serves as additional constraints for the wavefields, ii) compute the wavefield-residual by substituting this wavefield in the wave-equation, and iii) correlate the wavefield with the wavefield-residual to obtain a model-update. As opposed to the conventional workflow, no explicit adjoint solve is needed to compute the model-update. However, instead of solving a wave-equation, we need to solve a data-augmented wave-equation. In this talk we explore some of the challenges of solving this data-augmented wave-equation and review some possible solution strategies for both time and frequency-domain applications.},
keywords = {Presentation, private, SINBAD, SINBADFALL2013, SLIM},
url = {https://slim.gatech.edu/Publications/Private/Conferences/SINBAD/2013/Fall/vanleeuwen2013SINBADsda/vanleeuwen2013SINBADsda.pdf},
author = {Tristan van Leeuwen and Bas Peters and Felix J. Herrmann}
}