Abstract | ||
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We consider the inverse scattering problem of determining the shape of a cavity with impedance boundary condition from sources and measurements placed on a curve inside the cavity. It is shown that both the shape $\partial D$ of the cavity and the surface impedance 驴 are uniquely determined by the measured data and numerical methods are given for determining both $\partial D$ and 驴 where neither one is known a priori. Numerical examples are given showing the viability of our method. |
Year | DOI | Venue |
---|---|---|
2012 | 10.1007/s10444-011-9179-2 | Adv. Comput. Math. |
Keywords | Field | DocType |
Inverse scattering problem,Impedance boundary condition,Shape of a cavity,Surface impedance,35R30,65J22,78A46 | Mathematical optimization,Mathematical analysis,A priori and a posteriori,Surface impedance,Numerical analysis,Mathematics,Inverse scattering problem,Impedance boundary condition | Journal |
Volume | Issue | ISSN |
36 | 2 | 1019-7168 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hai-Hua Qin | 1 | 8 | 1.97 |
David Colton | 2 | 33 | 15.98 |