DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Doosung | ko |
dc.contributor.author | Kim, Junbeom | ko |
dc.contributor.author | Lim, Mikyoung | ko |
dc.date.accessioned | 2021-11-04T06:40:38Z | - |
dc.date.available | 2021-11-04T06:40:38Z | - |
dc.date.created | 2020-07-27 | - |
dc.date.issued | 2021-12 | - |
dc.identifier.citation | MATHEMATISCHE ANNALEN, v.381, no.3-4, pp.1837 - 1867 | - |
dc.identifier.issn | 0025-5831 | - |
dc.identifier.uri | http://hdl.handle.net/10203/288744 | - |
dc.description.abstract | A conductivity inclusion, inserted in a homogeneous background, induces a perturbation in the background potential. This perturbation admits a multipole expansion whose coefficients are the so-called generalized polarization tensors (GPTs). GPTs can be obtained from multistatic measurements. As a modification of GPTs, the Faber polynomial polarization tensors (FPTs) were recently introduced in two dimensions. In this study, we design two novel analytical non-iterative methods for recovering the shape of a simply connected inclusion from GPTs by employing the concept of FPTs. First, we derive an explicit expression for the coefficients of the exterior conformal mapping associated with an inclusion in a simple form in terms of GPTs, which allows us to accurately reconstruct the shape of an inclusion with extreme or near-extreme conductivity. Secondly, we provide an explicit asymptotic formula in terms of GPTs for the shape of an inclusion with arbitrary conductivity by considering the inclusion as a perturbation of its equivalent ellipse. With this formula, one can non-iteratively approximate an inclusion of general shape with arbitrary conductivity, including a straight or asymmetric shape. Numerical experiments demonstrate the validity of the proposed analytical approaches. | - |
dc.language | English | - |
dc.publisher | SPRINGER HEIDELBERG | - |
dc.title | Analytical shape recovery of a conductivity inclusion based on Faber polynomials | - |
dc.type | Article | - |
dc.identifier.wosid | 000547228200001 | - |
dc.identifier.scopusid | 2-s2.0-85088953216 | - |
dc.type.rims | ART | - |
dc.citation.volume | 381 | - |
dc.citation.issue | 3-4 | - |
dc.citation.beginningpage | 1837 | - |
dc.citation.endingpage | 1867 | - |
dc.citation.publicationname | MATHEMATISCHE ANNALEN | - |
dc.identifier.doi | 10.1007/s00208-020-02041-1 | - |
dc.contributor.localauthor | Lim, Mikyoung | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | 30C35 | - |
dc.subject.keywordAuthor | 35J05 | - |
dc.subject.keywordAuthor | 45P05 | - |
dc.subject.keywordPlus | GENERALIZED POLARIZATION TENSORS | - |
dc.subject.keywordPlus | PART I | - |
dc.subject.keywordPlus | REGULARITY | - |
dc.subject.keywordPlus | SERIES | - |
dc.subject.keywordPlus | RECONSTRUCTION | - |
dc.subject.keywordPlus | PERTURBATIONS | - |
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