Acoustic inverse scattering via Helmholtz operator factorization and optimization

@article{Wang2010AcousticIS,
  title={Acoustic inverse scattering via Helmholtz operator factorization and optimization},
  author={Shen Yun Wang and Maarten V. de Hoop and Jianlin Xia},
  journal={J. Comput. Physics},
  year={2010},
  volume={229},
  pages={8445-8462}
}
We present a joint acoustic/seismic inverse scattering and finite-frequency (reflection) tomography program, formulated as a coupled set of optimization problems, in terms of inhomogeneous Helmholtz equations. We use a higher order finite difference scheme for these Helmholtz equations to guarantee sufficient accuracy. We adapt a structured approximate direct solver for the relevant systems of algebraic equations, which addresses storage requirements through compression, to yield a complexity… CONTINUE READING
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