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Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems

In: Integral Methods in Science and Engineering, Volume 1

Author

Listed:
  • C. E. Athanasiadis

    (National and Kapodistrian University of Athens)

  • V. Sevroglou

    (University of Piraeus)

  • I. G. Stratis

    (National and Kapodistrian University of Athens)

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].

Suggested Citation

  • C. E. Athanasiadis & V. Sevroglou & I. G. Stratis, 2010. "Dyadic Elastic Scattering by Point Sources: Direct and Inverse Problems," Springer Books, in: Christian Constanda & M.E. Pérez (ed.), Integral Methods in Science and Engineering, Volume 1, chapter 3, pages 21-28, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-4899-2_3
    DOI: 10.1007/978-0-8176-4899-2_3
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