EFFECTIVE MEDIUM THEORY FOR EMBEDDED OBSTACLES IN ELASTICITY WITH APPLICATIONS TO INVERSE PROBLEMS
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
Original language | English |
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Pages (from-to) | 720-749 |
Journal / Publication | SIAM Journal on Applied Mathematics |
Volume | 82 |
Issue number | 2 |
Online published | 27 Apr 2022 |
Publication status | Published - 2022 |
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DOI | DOI |
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Attachment(s) | Documents
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Link to Scopus | https://www.scopus.com/record/display.uri?eid=2-s2.0-85126940745&origin=recordpage |
Permanent Link | https://scholars.cityu.edu.hk/en/publications/publication(9bd6c361-b35d-47a3-ab2f-04e5c109fa01).html |
Abstract
We consider the time-harmonic elastic wave scattering from a general (possibly anisotropic) inhomogeneous medium with an embedded impenetrable obstacle. We show that the impenetrable obstacle can be effectively approximated by an isotropic elastic medium with a particular choice of material parameters. We derive sharp estimates to rigorously verify such an effective approximation. Our study is strongly motivated by the related studies of two challenging inverse elastic problems including the inverse boundary problem with partial data and the inverse scattering problem of recovering mediums with buried obstacles. The proposed effective medium theory readily yields some interesting applications of practical significance to these inverse problems.
Research Area(s)
- asymptotic analysis, effective medium theory, elastic scattering, embedded obstacle, inverse elastic problems, variational analysis
Citation Format(s)
EFFECTIVE MEDIUM THEORY FOR EMBEDDED OBSTACLES IN ELASTICITY WITH APPLICATIONS TO INVERSE PROBLEMS. / MENG, Qingle; BAI, Zhengjian; DIAO, Huaian et al.
In: SIAM Journal on Applied Mathematics, Vol. 82, No. 2, 2022, p. 720-749.
In: SIAM Journal on Applied Mathematics, Vol. 82, No. 2, 2022, p. 720-749.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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