Choi, Doosung; Helsing, Johan; Kang, Sangwoo; Lim, Mikyoung Inverse problem for a planar conductivity inclusion. (English) Zbl 1521.30022 SIAM J. Imaging Sci. 16, No. 2, 969-995 (2023). MSC: 30C35 35J05 35J25 PDFBibTeX XMLCite \textit{D. Choi} et al., SIAM J. Imaging Sci. 16, No. 2, 969--995 (2023; Zbl 1521.30022) Full Text: DOI arXiv
Ledger, P. D.; Lionheart, W. R. B. Minimal object characterizations using harmonic generalized polarizability tensors and symmetry groups. (English) Zbl 1512.35668 SIAM J. Appl. Math. 82, No. 6, 2057-2079 (2022). MSC: 35R30 35B30 20C30 PDFBibTeX XMLCite \textit{P. D. Ledger} and \textit{W. R. B. Lionheart}, SIAM J. Appl. Math. 82, No. 6, 2057--2079 (2022; Zbl 1512.35668) Full Text: DOI arXiv
Choi, Doosung; Kim, Junbeom; Lim, Mikyoung Analytical shape recovery of a conductivity inclusion based on Faber polynomials. (English) Zbl 1486.30024 Math. Ann. 381, No. 3-4, 1837-1867 (2021). MSC: 30C35 35J05 45P05 PDFBibTeX XMLCite \textit{D. Choi} et al., Math. Ann. 381, No. 3--4, 1837--1867 (2021; Zbl 1486.30024) Full Text: DOI arXiv
Baldassari, Lorenzo; Scapin, Andrea Multi-scale classification for electrosensing. (English) Zbl 1479.35870 SIAM J. Imaging Sci. 14, No. 1, 26-57 (2021). MSC: 35Q92 35R30 94A12 15A10 65F20 68T37 62C12 92C47 92C05 PDFBibTeX XMLCite \textit{L. Baldassari} and \textit{A. Scapin}, SIAM J. Imaging Sci. 14, No. 1, 26--57 (2021; Zbl 1479.35870) Full Text: DOI arXiv
Baldassari, Lorenzo Scattering coefficients of inhomogeneous objects and their application in target classification in wave imaging. (English) Zbl 1505.65288 Eur. J. Appl. Math. 31, No. 4, 553-573 (2020). MSC: 65N21 35B30 35C20 35J05 78A46 78M50 35R30 PDFBibTeX XMLCite \textit{L. Baldassari}, Eur. J. Appl. Math. 31, No. 4, 553--573 (2020; Zbl 1505.65288) Full Text: DOI arXiv
Darbas, Marion; Heleine, Jérémy; Lohrengel, Stephanie Sensitivity analysis for 3D Maxwell’s equations and its use in the resolution of an inverse medium problem at fixed frequency. (English) Zbl 1486.65228 Inverse Probl. Sci. Eng. 28, No. 4, 459-496 (2020). Reviewer: José Augusto Ferreira (Coimbra) MSC: 65N21 65N20 65N30 65D18 65R32 65J20 65K10 78A25 78M10 78M50 35Q61 PDFBibTeX XMLCite \textit{M. Darbas} et al., Inverse Probl. Sci. Eng. 28, No. 4, 459--496 (2020; Zbl 1486.65228) Full Text: DOI arXiv
Scapin, Andrea Electrocommunication for weakly electric fish. (English) Zbl 1431.35248 Inverse Probl. Imaging 14, No. 1, 97-115 (2020). MSC: 35R30 35J05 31B10 35C20 78A30 PDFBibTeX XMLCite \textit{A. Scapin}, Inverse Probl. Imaging 14, No. 1, 97--115 (2020; Zbl 1431.35248) Full Text: DOI arXiv
Ammari, Habib; Putinar, Mihai; Steenkamp, Andries; Triki, Faouzi Reconstruction of domains with algebraic boundaries from generalized polarization tensors. (English) Zbl 1442.35540 SIAM J. Imaging Sci. 12, No. 4, 2097-2118 (2019). MSC: 35R30 35C20 35J15 PDFBibTeX XMLCite \textit{H. Ammari} et al., SIAM J. Imaging Sci. 12, No. 4, 2097--2118 (2019; Zbl 1442.35540) Full Text: DOI arXiv
Ammari, Habib; Putinar, Mihai; Steenkamp, Andries; Triki, Faouzi Identification of an algebraic domain in two dimensions from a finite number of its generalized polarization tensors. (English) Zbl 1479.35937 Math. Ann. 375, No. 3-4, 1337-1354 (2019). Reviewer: Matias Ruiz (London) MSC: 35R30 35C20 PDFBibTeX XMLCite \textit{H. Ammari} et al., Math. Ann. 375, No. 3--4, 1337--1354 (2019; Zbl 1479.35937) Full Text: DOI arXiv
Scapin, Andrea Electro-sensing of inhomogeneous targets. (English) Zbl 1412.35321 J. Math. Anal. Appl. 472, No. 2, 1872-1901 (2019). MSC: 35Q60 35Q92 78A70 92C05 92D50 PDFBibTeX XMLCite \textit{A. Scapin}, J. Math. Anal. Appl. 472, No. 2, 1872--1901 (2019; Zbl 1412.35321) Full Text: DOI arXiv
Ammari, Habib; Putinar, Mihai; Ruiz, Matias; Yu, Sanghyeon; Zhang, Hai Shape reconstruction of nanoparticles from their associated plasmonic resonances. (English. French summary) Zbl 1406.35482 J. Math. Pures Appl. (9) 122, 23-48 (2019). Reviewer: Eric Stachura (Marietta) MSC: 35R30 35C20 31B10 PDFBibTeX XMLCite \textit{H. Ammari} et al., J. Math. Pures Appl. (9) 122, 23--48 (2019; Zbl 1406.35482) Full Text: DOI arXiv Link
Li, Jingzhi; Liu, Hongyu; Sun, Hongpeng On a gesture-computing technique using electromagnetic waves. (English) Zbl 1395.35218 Inverse Probl. Imaging 12, No. 3, 677-696 (2018). MSC: 35R30 35P25 78A46 PDFBibTeX XMLCite \textit{J. Li} et al., Inverse Probl. Imaging 12, No. 3, 677--696 (2018; Zbl 1395.35218) Full Text: DOI arXiv
Choi, Doo Sung; Helsing, Johan; Lim, Mikyoung Corner effects on the perturbation of an electric potential. (English) Zbl 1391.35411 SIAM J. Appl. Math. 78, No. 3, 1577-1601 (2018). MSC: 35R30 30C35 35J57 PDFBibTeX XMLCite \textit{D. S. Choi} et al., SIAM J. Appl. Math. 78, No. 3, 1577--1601 (2018; Zbl 1391.35411) Full Text: DOI arXiv
Bonnetier, Eric; Triki, Faouzi; Tsou, Chun-Hsiang On the electro-sensing of weakly electric fish. (English) Zbl 1516.35496 J. Math. Anal. Appl. 464, No. 1, 280-303 (2018). MSC: 35R30 35J25 78A46 PDFBibTeX XMLCite \textit{E. Bonnetier} et al., J. Math. Anal. Appl. 464, No. 1, 280--303 (2018; Zbl 1516.35496) Full Text: DOI HAL
Liu, Hongyu; Wang, Yuliang; Yang, Can Mathematical design of a novel gesture-based instruction/input device using wave detection. (English) Zbl 1432.94016 SIAM J. Imaging Sci. 9, No. 2, 822-841 (2016). MSC: 94A08 35R30 35P25 78A46 PDFBibTeX XMLCite \textit{H. Liu} et al., SIAM J. Imaging Sci. 9, No. 2, 822--841 (2016; Zbl 1432.94016) Full Text: DOI arXiv
Fang, Xiaoping; Deng, Youjun Numerical implementation for reconstruction of inhomogeneous conductivities via generalized polarization tensors. (English) Zbl 1329.35348 Math. Methods Appl. Sci. 38, No. 15, 3229-3245 (2015). MSC: 35R30 35C20 PDFBibTeX XMLCite \textit{X. Fang} and \textit{Y. Deng}, Math. Methods Appl. Sci. 38, No. 15, 3229--3245 (2015; Zbl 1329.35348) Full Text: DOI arXiv
Ammari, Habib; Chow, Yat Tin; Liu, Keji; Zou, Jun Optimal shape design by partial spectral data. (English) Zbl 1328.49040 SIAM J. Sci. Comput. 37, No. 6, B855-B883 (2015). MSC: 49Q10 49J20 49N45 49M15 47A75 47A60 35R30 35B30 PDFBibTeX XMLCite \textit{H. Ammari} et al., SIAM J. Sci. Comput. 37, No. 6, B855--B883 (2015; Zbl 1328.49040) Full Text: DOI arXiv
Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung Construction of conformal mappings by generalized polarization tensors. (English) Zbl 1317.30008 Math. Methods Appl. Sci. 38, No. 9, 1847-1854 (2015). MSC: 30C30 65E05 PDFBibTeX XMLCite \textit{H. Kang} et al., Math. Methods Appl. Sci. 38, No. 9, 1847--1854 (2015; Zbl 1317.30008) Full Text: DOI arXiv
Ammari, Habib; Chung, Daewon; Kang, Hyeonbae; Wang, Han Invariance properties of generalized polarization tensors and design of shape descriptors in three dimensions. (English) Zbl 1304.35759 Appl. Comput. Harmon. Anal. 38, No. 1, 140-147 (2015). Reviewer: Matthias Schlottbom (Münster) MSC: 35R30 35B30 33C55 PDFBibTeX XMLCite \textit{H. Ammari} et al., Appl. Comput. Harmon. Anal. 38, No. 1, 140--147 (2015; Zbl 1304.35759) Full Text: DOI arXiv
Ammari, Habib; Boulier, Thomas; Garnier, Josselin; Wang, Han Shape recognition and classification in electro-sensing. (English) Zbl 1355.92056 Proc. Natl. Acad. Sci. USA 111, No. 32, 11652-11657 (2014). MSC: 92C55 68T10 PDFBibTeX XMLCite \textit{H. Ammari} et al., Proc. Natl. Acad. Sci. USA 111, No. 32, 11652--11657 (2014; Zbl 1355.92056) Full Text: DOI arXiv
Li, Jingzhi; Liu, Hongyu; Zou, Jun Locating multiple multiscale acoustic scatterers. (English) Zbl 1328.35135 Multiscale Model. Simul. 12, No. 3, 927-952 (2014). MSC: 35P25 35Q60 76Q05 78A46 PDFBibTeX XMLCite \textit{J. Li} et al., Multiscale Model. Simul. 12, No. 3, 927--952 (2014; Zbl 1328.35135) Full Text: DOI
Beilina, Larisa; Klibanov, Michael V. Relaxation property for the adaptivity for ill-posed problems. (English) Zbl 1286.35146 Appl. Anal. 93, No. 2, 223-253 (2014). MSC: 35L10 35K10 94A40 PDFBibTeX XMLCite \textit{L. Beilina} and \textit{M. V. Klibanov}, Appl. Anal. 93, No. 2, 223--253 (2014; Zbl 1286.35146) Full Text: DOI
Ammari, Habib; Garnier, Josselin; Kang, Hyeonbae; Lim, Mikyoung; Yu, Sanghyeon Generalized polarization tensors for shape description. (English) Zbl 1284.65072 Numer. Math. 126, No. 2, 199-224 (2014). MSC: 65K10 49Q10 49M27 PDFBibTeX XMLCite \textit{H. Ammari} et al., Numer. Math. 126, No. 2, 199--224 (2014; Zbl 1284.65072) Full Text: DOI
Ammari, Habib; Chen, Junqing; Chen, Zhiming; Garnier, Josselin; Volkov, Darko Target detection and characterization from electromagnetic induction data. (English) Zbl 1280.35145 J. Math. Pures Appl. (9) 101, No. 1, 54-75 (2014). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q60 35R30 35B30 PDFBibTeX XMLCite \textit{H. Ammari} et al., J. Math. Pures Appl. (9) 101, No. 1, 54--75 (2014; Zbl 1280.35145) Full Text: DOI arXiv
Ammari, Habib; Kang, Hyeonbae; Lee, Hyundae; Lim, Mikyoung Enhancement of near cloaking using generalized polarization tensors vanishing structures. I: The conductivity problem. (English) Zbl 1303.35108 Commun. Math. Phys. 317, No. 1, 253-266 (2013). MSC: 35Q60 78A45 35P25 78A20 78A48 PDFBibTeX XMLCite \textit{H. Ammari} et al., Commun. Math. Phys. 317, No. 1, 253--266 (2013; Zbl 1303.35108) Full Text: DOI arXiv