LAUSR

Increasing stability for the inverse source problem in elastic waves with attenuation

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1 Published in 2023 at "European Journal of Applied Mathematics"

DOI: 10.1017/s0956792523000116

Abstract: This paper is concerned with the increasing stability of the inverse source problem for the elastic wave equation with attenuation in three dimensions. The stability estimate consists of the Lipschitz type data discrepancy and the… read more here.

Keywords: stability inverse; inverse source; source problem; source ... See more keywords

An inverse space-dependent source problem for hyperbolic equations and the Lipschitz-like convergence of the quasi-reversibility method

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0 Published in 2019 at "Inverse Problems"

DOI: 10.1088/1361-6420/aafe8f

Abstract: We propose in this paper a new numerical method to solve an inverse source problem for general hyperbolic equations. This is the problem of reconstructing sources from the lateral Cauchy data of the wave field… read more here.

Keywords: source problem; reversibility method; quasi reversibility; method ... See more keywords

A Fourier approach to the inverse source problem in an absorbing and anisotropic scattering medium

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1 Published in 2019 at "Inverse Problems"

DOI: 10.1088/1361-6420/ab4d98

Abstract: We revisit the inverse source problem in a two dimensional absorbing and scattering medium and present a non-iterative reconstruction method using measurements of the radiating flux at the boundary. The attenuation and scattering coefficients are… read more here.

Keywords: source problem; inverse; source; scattering medium ... See more keywords

An inverse source problem for distributed order time-fractional diffusion equation

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0 Published in 2020 at "Inverse Problems"

DOI: 10.1088/1361-6420/ab762c

Abstract: We consider an inverse time-dependent source problem governed by a distributed time-fractional diffusion equation using interior measurement data. Such a problem arises in some ultra-slow diffusion phenomena in many applied areas. Based on the regularity… read more here.

Keywords: diffusion; source problem; time fractional; time ... See more keywords

The Source of the Problem.

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0 Published in 2019 at "Acute medicine"

DOI: 10.52964/amja.0745

Abstract: A 58-year-old lady presented to the Emergency Department with a two-day history of shortness of breath and confusion, on a background of one week's history of general malaise, vomiting, fevers and chills. Her past medical… read more here.

Keywords: medicine; history; source problem;