Mattei, Ornella; Milton, Graeme W.; Putinar, Mihai An extremal problem arising in the dynamics of two-phase materials that directly reveals information about the internal geometry. (English) Zbl 07749387 Commun. Pure Appl. Math. 76, No. 10, 2372-2409 (2023). MSC: 74E30 PDFBibTeX XMLCite \textit{O. Mattei} et al., Commun. Pure Appl. Math. 76, No. 10, 2372--2409 (2023; Zbl 07749387) Full Text: DOI arXiv
Morassi, Antonino; Rosset, Edi; Sincich, Eva; Vessella, Sergio Size estimates for nanoplates. (English) Zbl 07690467 Inverse Probl. 39, No. 6, Article ID 065005, 26 p. (2023). Reviewer: Carlos A. de Moura (Rio de Janeiro) MSC: 74G75 74K20 74E05 74M25 PDFBibTeX XMLCite \textit{A. Morassi} et al., Inverse Probl. 39, No. 6, Article ID 065005, 26 p. (2023; Zbl 07690467) Full Text: DOI arXiv
Fernandez, L.; Novotny, A. A.; Prakash, R.; Sokołowski, J. Pollution sources reconstruction based on the topological derivative method. (English) Zbl 1473.49046 Appl. Math. Optim. 84, No. 2, 1493-1525 (2021). MSC: 49Q10 49N45 PDFBibTeX XMLCite \textit{L. Fernandez} et al., Appl. Math. Optim. 84, No. 2, 1493--1525 (2021; Zbl 1473.49046) Full Text: DOI
Arens, Tilo; Griesmaier, Roland; Knöller, Marvin Maximizing the electromagnetic chirality of thin dielectric tubes. (English) Zbl 1478.78071 SIAM J. Appl. Math. 81, No. 5, 1979-2006 (2021). MSC: 78M50 49Q10 78A45 78M35 PDFBibTeX XMLCite \textit{T. Arens} et al., SIAM J. Appl. Math. 81, No. 5, 1979--2006 (2021; Zbl 1478.78071) Full Text: DOI
Ji, Yong-Gwan; Kang, Hyeonbae; Li, Xiaofei; Sakaguchi, Shigeru Neutral inclusions, weakly neutral inclusions, and an over-determined problem for confocal ellipsoids. (English) Zbl 1475.35212 Ferone, Vincenzo (ed.) et al., Geometric properties for parabolic and elliptic PDE’s. Contributions of the 6th Italian-Japanese workshop, Cortona, Italy, May 20–24, 2019. Cham: Springer. Springer INdAM Ser. 47, 151-181 (2021). MSC: 35N05 35J15 PDFBibTeX XMLCite \textit{Y.-G. Ji} et al., Springer INdAM Ser. 47, 151--181 (2021; Zbl 1475.35212) Full Text: DOI arXiv
Capdeboscq, Yves; Griesmaier, Roland; Knöller, Marvin An asymptotic representation formula for scattering by thin tubular structures and an application in inverse scattering. (English) Zbl 1470.35128 Multiscale Model. Simul. 19, No. 2, 846-885 (2021). Reviewer: Giovanni S. Alberti (Genova) MSC: 35C20 65N21 78A46 35Q61 35P25 PDFBibTeX XMLCite \textit{Y. Capdeboscq} et al., Multiscale Model. Simul. 19, No. 2, 846--885 (2021; Zbl 1470.35128) Full Text: DOI arXiv
Novotny, Antonio André; Sokołowski, Jan; Żochowski, Antoni Topological derivatives of shape functionals. part III: second-order method and applications. (English) Zbl 1419.35016 J. Optim. Theory Appl. 181, No. 1, 1-22 (2019). MSC: 35J15 35Q74 PDFBibTeX XMLCite \textit{A. A. Novotny} et al., J. Optim. Theory Appl. 181, No. 1, 1--22 (2019; Zbl 1419.35016) Full Text: DOI
Allaire, Grégoire; Ghosh, Tuhin; Vanninathan, Muthusamy Homogenization of Stokes system using Bloch waves. (English) Zbl 1375.35355 Netw. Heterog. Media 12, No. 4, 525-550 (2017). MSC: 35Q35 35B27 49J45 76D07 76M50 PDFBibTeX XMLCite \textit{G. Allaire} et al., Netw. Heterog. Media 12, No. 4, 525--550 (2017; Zbl 1375.35355) Full Text: DOI arXiv
Ammari, Habib; Kang, Hyeonbae Expansion methods. 2nd edition. (English) Zbl 1331.00037 Scherzer, Otmar (ed.), Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer (ISBN 978-1-4939-0789-2/print; 978-1-4939-0790-8/ebook; 978-1-4939-0791-5/print+ebook; 978-3-642-27795-5/online (updated continuously)). Springer Reference, 535-590 (2015). MSC: 00A71 92C55 94A08 PDFBibTeX XMLCite \textit{H. Ammari} and \textit{H. Kang}, in: Handbook of mathematical methods in imaging. In 3 volumes. New York, NY: Springer. 535--590 (2015; Zbl 1331.00037) Full Text: DOI
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
Beretta, Elena; Francini, Elisa; Vessella, Sergio Size estimates for the EIT problem with one measurement: the complex case. (English) Zbl 1317.35293 Rev. Mat. Iberoam. 30, No. 2, 551-580 (2014). Reviewer: Chiu Yeung Chan (Lafayette) MSC: 35R30 35R25 35B60 92C55 PDFBibTeX XMLCite \textit{E. Beretta} et al., Rev. Mat. Iberoam. 30, No. 2, 551--580 (2014; Zbl 1317.35293) Full Text: DOI arXiv
Kang, Hyeonbae; Kim, Eunjoo; Milton, Graeme W. Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method. (English) Zbl 1252.35281 Calc. Var. Partial Differ. Equ. 45, No. 3-4, 367-401 (2012). MSC: 35R30 35A15 78A30 PDFBibTeX XMLCite \textit{H. Kang} et al., Calc. Var. Partial Differ. Equ. 45, No. 3--4, 367--401 (2012; Zbl 1252.35281) Full Text: DOI arXiv
Milton, Graeme W. Universal bounds on the electrical and elastic response of two-phase bodies and their application to bounding the volume fraction from boundary measurements. (English) Zbl 1244.74050 J. Mech. Phys. Solids 60, No. 1, 139-155 (2012). MSC: 74F15 78A30 78A45 PDFBibTeX XMLCite \textit{G. W. Milton}, J. Mech. Phys. Solids 60, No. 1, 139--155 (2012; Zbl 1244.74050) Full Text: DOI arXiv
Ammari, Habib; Garapon, Pierre; Guadarrama Bustos, Lili; Kang, Hyeonbae Transient anomaly imaging by the acoustic radiation force. (English) Zbl 1197.35309 J. Differ. Equations 249, No. 7, 1579-1595 (2010). MSC: 35R30 35B30 35B40 35C20 74J25 PDFBibTeX XMLCite \textit{H. Ammari} et al., J. Differ. Equations 249, No. 7, 1579--1595 (2010; Zbl 1197.35309) Full Text: DOI
Ammari, Habib; Garapon, Pierre; Kang, Hyeonbae; Lee, Hyundae A method of biological tissues elasticity reconstruction using magnetic resonance elastography measurements. (English) Zbl 1143.35384 Q. Appl. Math. 66, No. 1, 139-175 (2008). MSC: 35R30 74B05 35Q30 74F15 PDFBibTeX XMLCite \textit{H. Ammari} et al., Q. Appl. Math. 66, No. 1, 139--175 (2008; Zbl 1143.35384) Full Text: DOI Link
Ammari, Habib; Griesmaier, Roland; Hanke, Martin Identification of small inhomogeneities asymptotic factorization. (English) Zbl 1119.35111 Math. Comput. 76, No. 259, 1425-1448 (2007). Reviewer: Andrey L. Karchevsky (Novosibirsk) MSC: 35R30 35C20 35J25 PDFBibTeX XMLCite \textit{H. Ammari} et al., Math. Comput. 76, No. 259, 1425--1448 (2007; Zbl 1119.35111) Full Text: DOI
Ammari, Habib; Kang, Hyeonbae; Kim, Kyoungsun Polarization tensors and effective properties of anisotropic composite materials. (English) Zbl 1073.35019 J. Differ. Equations 215, No. 2, 401-428 (2005). MSC: 35B27 35B30 35C20 PDFBibTeX XMLCite \textit{H. Ammari} et al., J. Differ. Equations 215, No. 2, 401--428 (2005; Zbl 1073.35019) Full Text: DOI
Capdeboscq, Yves; Vogelius, Michael S. A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction. (English) Zbl 1137.35346 M2AN, Math. Model. Numer. Anal. 37, No. 1, 159-173 (2003). MSC: 35J20 35B27 35R30 PDFBibTeX XMLCite \textit{Y. Capdeboscq} and \textit{M. S. Vogelius}, M2AN, Math. Model. Numer. Anal. 37, No. 1, 159--173 (2003; Zbl 1137.35346) Full Text: DOI Numdam EuDML