Bonnetier, E.; Dapogny, Charles; Vogelius, Michael S. Small perturbations in the type of boundary conditions for an elliptic operator. (English. French summary) Zbl 1500.35127 J. Math. Pures Appl. (9) 167, 101-174 (2022). MSC: 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Capdeboscq, Yves; Ong, Shaun Chen Yang Extending representation formulas for boundary voltage perturbations of low volume fraction to very contrasted conductivity inhomogeneities. (English) Zbl 1489.35048 C. R., Math., Acad. Sci. Paris 360, 127-150 (2022). MSC: 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Dapogny, Charles The topological ligament in shape optimization: a connection with thin tubular inhomogeneities. (English) Zbl 1482.35069 SMAI J. Comput. Math. 7, 185-266 (2021). MSC: 35C20 35J25 49Q10 65K10 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Dapogny, Charles A connection between topological ligaments in shape optimization and thin tubular inhomogeneities. (English. French summary) Zbl 1448.74086 C. R., Math., Acad. Sci. Paris 358, No. 2, 119-127 (2020). MSC: 74P10 74K99 74E05 74G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Nguyen, Hoai-Minh; Vogelius, Michael S. Approximate cloaking using transformation optics for acoustic and electromagnetic waves. (English) Zbl 1433.35384 Acta Math. Vietnam. 45, No. 1, 261-280 (2020). MSC: 35Q60 35A15 35B40 78A10 35-02 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen, Hoai-Minh; Nguyen, Tu Approximate cloaking for the heat equation via transformation optics. (English) Zbl 1436.35218 Math. Eng. (Springfield) 1, No. 4, 775-788 (2019). MSC: 35K05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Nguyen, Hoai-Minh; Tran, Loc X. Approximate cloaking for time-dependent Maxwell equations via transformation optics. (English) Zbl 1428.35567 SIAM J. Math. Anal. 51, No. 5, 4142-4171 (2019). MSC: 35Q61 35A15 35B40 35F10 78A40 78M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dapogny, Charles; Vogelius, Michael S. Uniform asymptotic expansion of the voltage potential in the presence of thin inhomogeneities with arbitrary conductivity. (English) Zbl 1368.35095 Chin. Ann. Math., Ser. B 38, No. 1, 293-344 (2017). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35J25 74G10 74G75 × Cite Format Result Cite Review PDF Full Text: DOI
Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae; Shin, Jaemin; Yu, Sanghyeon Spectral properties of the Neumann-Poincaré operator and uniformity of estimates for the conductivity equation with complex coefficients. (English) Zbl 1337.35047 J. Lond. Math. Soc., II. Ser. 93, No. 2, 519-545 (2016). MSC: 35J47 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ammari, Habib; Deng, Youjun; Millien, Pierre Surface plasmon resonance of nanoparticles and applications in imaging. (English) Zbl 1342.35391 Arch. Ration. Mech. Anal. 220, No. 1, 109-153 (2016). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q82 82D80 82D35 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lim, Mikyoung; Yu, Sanghyeon Asymptotics of the solution to the conductivity equation in the presence of adjacent circular inclusions with finite conductivities. (English) Zbl 1311.35307 J. Math. Anal. Appl. 421, No. 1, 131-156 (2015). MSC: 35Q60 35B40 35B44 35Q74 74E30 78A48 78A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Perrussel, Ronan; Poignard, Clair Asymptotic expansion of steady-state potential in a high contrast medium with a thin resistive layer. (English) Zbl 1329.78060 Appl. Math. Comput. 221, 48-65 (2013). MSC: 78A70 35C20 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI Link
Ammari, Habib; Kang, Hyeonbae; Kim, Kyoungsun; Lee, Hyundae Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions. (English) Zbl 1284.35422 J. Differ. Equations 254, No. 12, 4446-4464 (2013). MSC: 35Q74 74B05 35B40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen, Hoai-Minh; Vogelius, Michael S. Full range scattering estimates and their application to cloaking. (English) Zbl 1257.78011 Arch. Ration. Mech. Anal. 203, No. 3, 769-807 (2012). Reviewer: Victor Péron (Pau) MSC: 78A45 35Q60 35P25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Nguyen, Hoai-Minh Approximate cloaking for the Helmholtz equation via transformation optics and consequences for perfect cloaking. (English) Zbl 1231.35310 Commun. Pure Appl. Math. 65, No. 2, 155-186 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 35R30 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link