Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems

C. E. Athanasiadis (), V. Sevroglou () and I. G. Stratis ()
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C. E. Athanasiadis: National and Kapodistrian University of Athens
V. Sevroglou: University of Piraeus
I. G. Stratis: National and Kapodistrian University of Athens

Chapter 3 in Integral Methods in Science and Engineering, Volume 1, 2010, pp 21-28 from Springer

Abstract: Abstract This chapter is concerned with the scattering of elastic point sources by a bounded obstacle, as well as with a related near-field inverse problem for small scatterers. We consider the Dirichlet problem, where the displacement field is vanishing on the surface of the scatterer. A dyadic formulation for the aforementioned scattering problem is considered in order to gain the symmetry–compactness of the dyadic analysis [TAI94]. For acoustic and electromagnetic scattering, results on incident waves generated by a point source appear in [DK00], [AMS02]; see also references therein. In all these studies, scattering relations by point sources are established; related simple inversion algorithms for small scatterers can be found in [AMS01]. For elasticity, related problems such as the location and identification of a small three-dimensional elastic inclusion, using arrays of elastic source transmitters and receivers, are considered in [AK04], [ACI08].

Keywords: Elastic Scattering; Boundary Integral Equation; Boundary Integral Equation Method; Small Scatterer; Navier Equation (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4899-2_3

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DOI: 10.1007/978-0-8176-4899-2_3

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