Reconstruction of Closely Spaced Small Inclusions
In this paper we establish an explicit asymptotic formula for the steady state voltage perturbations caused by closely spaced small conductivity inhomogeneities. Based on this new formula we design a very effective numerical method to identify the location and some geometric features of these inhomo...
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| Veröffentlicht in: | SIAM journal on numerical analysis 2005-01, Vol.42 (6), p.2408-2428 |
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| container_title | SIAM journal on numerical analysis |
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| creator | Ammari, Habib Kang, Hyeonbae Eunjoo Kim Mikyoung Lim |
| description | In this paper we establish an explicit asymptotic formula for the steady state voltage perturbations caused by closely spaced small conductivity inhomogeneities. Based on this new formula we design a very effective numerical method to identify the location and some geometric features of these inhomogeneities from a finite number of boundary measurements. The viability of our approach is documented by numerical examples. |
| doi_str_mv | 10.1137/s0036142903422752 |
| format | Article |
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| ispartof | SIAM journal on numerical analysis, 2005-01, Vol.42 (6), p.2408-2428 |
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| language | eng |
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| source | SIAM Journals Online; Jstor Complete Legacy; JSTOR Mathematics & Statistics |
| subjects | Algorithms Applied mathematics Conductivity Differential equations Eigenvalues Electric potential Ellipses Exact sciences and technology Harmonic functions Inhomogeneity Inverse problems Mathematical analysis Mathematics Numerical analysis Partial differential equations Sciences and techniques of general use Tensors |
| title | Reconstruction of Closely Spaced Small Inclusions |
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