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The inverse medium problem with discontinuous refractive index is a kind of challenging inverse problem.
We present a fast computational framework for the inverse medium problem in scattering, i.e. we look at discretization, reconstruction and numerical performance.
We consider the time-harmonic inverse medium problem, which finds many applications in science and engineering (e.g. optical tomography, seismic imaging, and non-destructive testing).
We discuss the potential of the inversion method for a multi-layered inverse medium problem arising in seismic imaging and computational results are reported for seismic inversion examples on up to 1,024 cores of a Cray XE6.
Based on the equivalence principle, unknown equivalent electric and magnetic surface current densities on a closed surface are utilized to decompose the inverse medium problem into two parts: a linear radiation problem and a nonlinear cavity problem.
We cast the problem of finding the spacial distribution of the elastic soil properties as an inverse medium problem, directly in the time domain, and use perfectly-matched-layers (PMLs) to account for the semi-infinite extent of the site under investigation.
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We propose an algorithm to compute an approximate singular value decomposition (SVD) of least-squares operators related to linearized inverse medium problems with multiple events.
It is shown that the derived formulation can be interpreted as an extension of formulation 1 and 1A of Farassat based on the Ffowcs Williams and Hawkings (FW H) equation for moving medium problems.
Therefore, it can be concluded that the proposed algorithm is appropriate for solving large and medium problems.
Contrary to our assumptions, increased social support was related to increased sickness absence in departments that reported low and medium problem-confrontation behavior in their leader.
A so-called direct mixed-body boundary element method (BEM) has recently been developed to model the two-medium problem in a single-domain fashion.
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CEO of Professional Science Editing for Scientists @ prosciediting.com