A3 FORESIGHT PROGRAM:
Modeling and Computation of Applied Inverse Problems

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Achievements

【Academic publication】

■Japan：Masahiro Yamamoto (PI)

Book：

Bellassoued, Mourad and Yamamoto, Masahiro,

Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems, Springer-Japan, Tokyo, 2017, 260pp.

Year 2019

[1] P. Cannarsa, G. Floridia, F. Golgeleyen, M. Yamamoto, Inverse coefficient problems for a transport equation by local Carleman estimate. to appear in Inverse Problems (IOS Science), 2019,

https://doi.org/10.1088/1361-6420/ab1c69, http://arxiv.org/abs/1902.06355.pdf

[2] P. Cannarsa, G. Floridia, M. Yamamoto, Observability inequalities for transport equations through Carleman estimates, Springer INdAM series, Vol. 32 (2019) doi:10.1007/978-3-030-17949-6,

https://arxiv.org/abs/1807.05005.pdf

[3] Li, Zhiyuan; Yamamoto, Masahiro, Unique continuation principle for the one-dimensional time-fractional diffusion equation. Fract. Calc. Appl. Anal. 22 (2019), 644-657.

https://arxiv.org/pdf/1806.06164.pdf

[4] Dou, Fangfang; Yamamoto, Masahiro, Logarithmic stability for a coefficient inverse problem of coupled Schroedinger equations. Inverse Problems 35 (2019), 075006, 17 pp.

https://arxiv.org/pdf/1812.07820.pdf

[5] Li, Zhiyuan; Yamamoto, Masahiro, Inverse problems of determining coefficients of the fractional partial differential equations. Handbook of fractional calculus with applications. Vol. 2, pp. 443-464, De Gruyter, Berlin, 2019.

https://arxiv.org/pdf/1904.05505.pdf

[6] Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro, Inverse problems of determining parameters of the fractional partial differential equations. Handbook of fractional calculus with applications. Vol. 2, 431-442, De Gruyter, Berlin, 2019.

https://arxiv.org/pdf/1904.05502.pdf

[7] Liu, Yikan; Li, Zhiyuan; Yamamoto, Masahiro Inverse problems of determining sources of the fractional partial differential equations. Handbook of fractional calculus with applications. Vol. 2, 411-429, De Gruyter, Berlin, 2019.

https://arxiv.org/pdf/1904.05501.pdf

[8] Luchko, Yuri; Yamamoto, Masahiro, Maximum principle for the time-fractional PDEs. Handbook of fractional calculus with applications. Vol. 2, 299-325, De Gruyter, Berlin, 2019.

[9] Huang, Xinchi; Li, Zhiyuan; Yamamoto, Masahiro,

Carleman estimates for the time-fractional advection-diffusion equations and applications. Inverse Problems 35 (2019), 045003, 36 pp.

https://arxiv.org/pdf/1704.06011.pdf

[10] Hoemberg, Dietmar; Lu, Shuai; Yamamoto, Masahiro, Uniqueness for an inverse problem for a nonlinear parabolic system with an integral term by one-point Dirichlet data. J. Differential Equations 266 (2019), 7525-7544.

[11] Romanov, Vladimir G.; Yamamoto, Masahiro, Recovering two coefficients in an elliptic equation via phaseless information. Inverse Probl. Imaging 13 (2019), 81-91.

[12] Huang, Xinchi; Kian, Yavar; Soccorsi, Eric; Yamamoto, Masahiro, Carleman estimate for the Schroedinger equation and application to magnetic inverse problems. J. Math. Anal. Appl. 474 (2019), 116-142.

Year 2018

[13] Kian, Yavar, Soccorsi, Eric; Yamamoto, Masahiro, On time-fractional diffusion equations with space-dependent variable order. Ann. Henri Poincar\'e 19 (2018) 3855-3881.

https://arxiv.org/pdf/1701.04046.pdf

[14] Romanov, Vladimir G.; Yamamoto, Masahiro, Phaseless inverse problems with interference waves. J. Inverse Ill-Posed Probl. 26 (2018) 681-688.

https://arxiv.org/pdf/1801.10062.pdf

[15] Kubica, Adam; Yamamoto, Masahiro; Initial-boundary value problems for fractional diffusion equations with time-dependent coefficients. Fract. Calc. Appl. Anal. 21 (2018) 276-311.

https://arxiv.org/pdf/1703.07160.pdf

[16] Yu, Jie; Liu, Yikan; Yamamoto, Masahiro Theoretical stability in coefficient inverse problems for general hyperbolic equations with numerical reconstruction. Inverse Problems 34 (2018) 045001, 30 pp.

https://arxiv.org/pdf/1705.06396.pdf

[17] Luchko, Yuri and Yamamoto, Masahiro, Maximum principles for the time-fractional diffusion equations. Chapter 10 of "Frontiers in Fractional Calculus", Bentham Science Publishers, Chiba, Japan, 2018.

[18] Yamamoto, Masahiro, Weak solutions to non-homogeneous boundary value problems for time-fractional diffusion equations. J. Math. Anal. Appl. 460 (2018), 365-381.

[19] Kian, Y.; Oksanen, L.; Soccorsi, E.; Yamamoto, M. Global uniqueness in an inverse problem for time fractional diffusion equations. J. Differential Equations 264 (2018), 1146-1170.

https://arxiv.org/pdf/1601.00810.pdf

[20] Beilina, L.; Cristofol, M.; Li, S.; Yamamoto, M., Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations. Inverse Problems 34 (2018), 015001, 27 pp.

Year 2017

[21] Loreti, Paola; Sforza, Daniela; Yamamoto, Masahiro, Carleman estimates for integro-differential parabolic equations with singular memory kernels. J. Elliptic Parabol. Equ. 3 (2017), 53-64.

[22] Loreti, Paola; Sforza, Daniela; Yamamoto, Masahiro Carleman estimate and application to an inverse source problem for a viscoelasticity model in anisotropic case. Inverse Problems 33 (2017), 125014, 28 pp.

https://arxiv.org/pdf/1701.03052.pdf

[23] Luchko, Yuri; Yamamoto, Masahiro, On the maximum principle for a time-fractional diffusion equation. Fract. Calc. Appl. Anal. 20 (2017), 1131-1145.

https://arxiv.org/pdf/1702.07591.pdf

[24] Lorenzi, Alfredo; Lorenzi, Luca; Yamamoto, Masahiro, Continuous dependence and uniqueness for lateral Cauchy problems for linear integro-differential parabolic equations. J. Inverse Ill-Posed Probl. 25 (2017), 617-631.

[25] Hussein, S. O.; Lesnic, D.; Yamamoto, M. Reconstruction of space-dependent potential and/or damping coefficients in the wave equation. Comput. Math. Appl. 74 (2017), 1435-1454.

[26] Amirov, Arif; Golgeleyen, Fikret; Yamamoto, Masahiro, Uniqueness in an integral geometry problem and an inverse problem for the kinetic equation. Appl. Anal. 96 (2017), 2236-2249.

https://arxiv.org/pdf/1502.05152.pdf

[27] Jiang, Daijun; Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro, Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations. Inverse Problems 33 (2017), 055013, 22 pp.

https://arxiv.org/pdf/1607.05917.pdf

[28] Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem. Comput. Math. Appl. 73 (2017), 1041-1052.

[29] Cheng, Xing; Li, Zhiyuan; Yamamoto, Masahiro, Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations. Math. Methods Appl. Sci. 40 (2017), 1019-1031.

https://arxiv.org/pdf/1505.06965.pdf

[30] Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Yamamoto, Masahiro, Source reconstruction by partial measurements for a class of hyperbolic systems in cascade. Mathematical paradigms of climate science, 35-50, Springer INdAM Ser., 15, Springer, 2017.

[31] Jiang, Daijun; Liu, Yikan; Yamamoto, Masahiro; Inverse source problem for the hyperbolic equation with a time-dependent principal part. J. Differential Equations 262 (2017), 653-681.

https://arxiv.org/pdf/1509.04453.pdf

[32] Imanuvilov, Oleg; Yamamoto, Masahiro; On Calderon's problem for a system of elliptic equations. Publ. Res. Inst. Math. Sci. 53 (2017), 141-186.

[33] Kian, Yavar; Yamamoto, Masahiro; On existence and uniqueness of solutions for semilinear fractional wave equations. Fract. Calc. Appl. Anal. 20 (2017), no. 1, 117-138.

https://arxiv.org/pdf/1510.03478.pdf

Year 2016

[34] Luchko, Yuri; Yamamoto, Masahiro General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems.

Fract. Calc. Appl. Anal. 19 (2016), no. 3, 676-695.

[35] Liu, Yikan; Rundell, William; Yamamoto, Masahiro, Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Fract. Calc. Appl. Anal. 19 (2016), no. 4, 888-906.

https://arxiv.org/pdf/1507.00845.pdf

[36] Golgeleyen, Fikret; Yamamoto, Masahiro, Stability for some inverse problems for transport equations. SIAM J. Math. Anal. 48 (2016), no. 4, 2319-2344.

https://arxiv.org/pdf/1508.07549.pdf

[37] Imanuvilov, Oleg Y.; Yamamoto, Masahiro Calder\'on problem for Maxwell's equations in two dimensions. J. Inverse Ill-Posed Probl. 24 (2016), no. 3, 351-355.

[38] Bellassoued, Mourad; Imanuvilov, Oleg; Yamamoto, Masahiro Carleman estimate for the Navier-Stokes equations and an application to a lateral Cauchy problem. Inverse Problems 32 (2016), no. 2, 025001, 23 pp.

https://arxiv.org/pdf/1506.02534.pdf

[39] Liu, J. J.; Yamamoto, M.; Yan, L. L. On the reconstruction of unknown time-dependent boundary sources for time fractional diffusion process by distributing measurement. Inverse Problems 32 (2016), no. 1, 015009, 25 pp.

[40] Li, Zhiyuan; Imanuvilov, Oleg Yu.; Yamamoto, Masahiro Uniqueness in inverse boundary value problems for fractional diffusion equations. Inverse Problems 32 (2016), no. 1, 015004, 16 pp.

https://arxiv.org/pdf/1404.7024.pdf

[41] Uesaka, Masaaki; Yamamoto, Masahiro Carleman estimate and unique continuation for a structured population model. Appl. Anal. 95 (2016), no. 3, 599-614. https://arxiv.org/pdf/1412.7402.pdf

Year 2015

[42] Liu, Yikan; Jiang, Daijun; Yamamoto, Masahiro Inverse source problem for a double hyperbolic equation describing the three-dimensional time cone model. SIAM J. Appl. Math. 75 (2015), no. 6, 2610-2635.

[43] Hu, Guanghui; Yamamoto, Masahiro H\"older stability estimate of Robin coefficient in corrosion detection with a single boundary measurement. Inverse Problems 31 (2015), no. 11, 115009, 20 pp.

[44] Blasten, Eemeli; Imanuvilov, Oleg Yu.; Yamamoto, Masahiro, Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials. Inverse Probl. Imaging 9 (2015), no. 3, 709-723.

[45] Imanuvilov, O. Yu.; Yamamoto, M. Remark on boundary data for inverse boundary value problems for the Navier-Stokes equations [Addendum to MR3319370]. Inverse Problems 31 (2015), no. 10, 109401, 4 pp.

[46] Baudouin, Lucie; Yamamoto, Masahiro, Inverse problem on a tree-shaped network: unified approach for uniqueness. Appl. Anal. 94 (2015), no. 11, 2370-2395.

https://arxiv.org/pdf/1407.5566.pdf

[47] Imanuvilov, O. Yu.; Yamamoto, M., Calder\'on problem for Maxwell's equations in the waveguide. Spectral theory and partial differential equations, 137-168, Contemp. Math., 640, Amer. Math. Soc., Providence, RI, 2015.

[48] Golgeleyen, Fikret; Yamamoto, Masahiro, An inverse problem for the Vlasov-Poisson system. J. Inverse Ill-Posed Probl. 23 (2015), no. 4, 363-372.

[49] Imanuvilov, O. Yu.; Uhlmann, Gunther; Yamamoto, M. The Neumann-to-Dirichlet map in two dimensions. Adv. Math. 281 (2015), 578-593.

[50] Gorenflo, Rudolf; Luchko, Yuri; Yamamoto, Masahiro Time-fractional diffusion equation in the fractional Sobolev spaces. Fract. Calc. Appl. Anal. 18 (2015), no. 3, 799-820.

https://arxiv.org/pdf/1411.7289.pdf

[51] Li, Zhiyuan; Liu, Yikan; Yamamoto, Masahiro Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients. Appl. Math. Comput. 257 (2015), 381-397.

https://arxiv.org/pdf/1312.2112.pdf

[52] Imanuvilov, O. Yu.; Yamamoto, M., Global uniqueness in inverse boundary value problems for the Navier-Stokes equations and Lam\'e system in two dimensions. Inverse Problems 31 (2015), no. 3, 035004, 46 pp.

[53] Li, Zhiyuan; Yamamoto, Masahiro Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation. Appl. Anal. 94 (2015), no. 3, 570-579.

https://arxiv.org/pdf/1403.1721.pdf

[54] Elschner, Johannes; Hu, Guanghui; Yamamoto, Masahiro Uniqueness in inverse elastic scattering from unbounded rigid surfaces of rectangular type. Inverse Probl. Imaging 9 (2015), no. 1, 127-141.

[55] Liu, J. J.; Yamamoto, M.; Yan, L. On the uniqueness and reconstruction for an inverse problem of the fractional diffusion process. Appl. Numer. Math. 87 (2015), 1-19.

Year 2014

[56] Imanuvilov, Oleg Yu.; Yamamoto, Masahiro Calderon problem for Maxwell's equations in cylindrical domain. Inverse Probl. Imaging 8 (2014), no. 4, 1117-1137.

[57] Fujishiro, Kenichi; Yamamoto, Masahiro Approximate controllability for fractional diffusion equations by interior control. Appl. Anal. 93 (2014), no. 9, 1793-1810.

[58] Li, Zhiyuan; Luchko, Yuri; Yamamoto, Masahiro Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations. Fract. Calc. Appl. Anal. 17 (2014), no. 4, 1114-1136.

[59] Imanuvilov, Oleg Yu.; Yamamoto, Masahiro Conditional stability in a backward parabolic system. Appl. Anal. 93 (2014), no. 10, 2174-2198.

[60] Golgeleyen, Fikret; Yamamoto, Masahiro Stability of inverse problems for ultrahyperbolic equations. Chin. Ann. Math. Ser. B 35 (2014), no. 4, 527-556.

[61] Wang, Wenyan; Yamamoto, Masahiro; Han, Bo Two-dimensional parabolic inverse source problem with final overdetermination in reproducing kernel space. Chin. Ann. Math. Ser. B 35 (2014), no. 3, 469-482.

[62] Liu, Yikan; Yamamoto, Masahiro On the multiple hyperbolic systems modelling phase transformation kinetics. Appl. Anal. 93 (2014), no. 6, 1297-1318.

https://arxiv.org/pdf/1305.1741.pdf

[63] Machida, Manabu; Yamamoto, Masahiro Global Lipschitz stability in determining coefficients of the radiative transport equation. Inverse Problems 30 (2014), no. 3, 035010, 16 pp.

[64] Hoemberg, Dietmar; Lu, Shuai; Sakamoto, Kenichi; Yamamoto, Masahiro Parameter identification in non-isothermal nucleation and growth processes. Inverse Problems 30 (2014), no. 3, 035003, 24 pp.

[65] Beauchard, K.; Cannarsa, P.; Yamamoto, M. Inverse source problem and null controllability for multidimensional parabolic operators of Grushin type. Inverse Problems 30 (2014), no. 2, 025006, 26 pp.

https://arxiv.org/pdf/1309.0950.pdf

[66] Hoemberg, Dietmar; Lu, Shuai; Sakamoto, Kenichi; Yamamoto, Masahiro, Nucleation rate identification in binary phase transition. The impact of applications on mathematics, 227-243, Math. Ind. (Tokyo), 1, Springer, Tokyo, 2014.

■China：Gang Bao(PI)

Year 2019

[1] Bao, Gang; Liu, Huayan; Li, Peijun; Zhang, Lei: Inverse obstacle scattering in an unbounded structure. Commun. Comput. Phys. 26 (2019), no. 5, 1274-1306.

doi: 10.4208/cicp.2019.js60.01

[2] Bao, Gang; Yin, Tao; Zeng, Fang: Multifrequency iterative methods for the inverse medium scattering problems in elasticity. SIAM J. Sci. Comput. 41 (2019), no. 4, B721-B745.

doi: 10.1137/18M1220844 [arXiv]

[3] Bao, Gang; Xu, Liwei; Yin, Tao: Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions. Comput. Methods Appl. Mech. Engrg. 354 (2019), 464-486.

doi: 10.1016/j.cma.2019.05.027 [arXiv]

[4] Bao, Gang; Cao, Yanzhao; Lin, Junshan; Van Wyk, Hans Werner: Computational optimal design of random rough surfaces in thin-film solar cells. Commun. Comput. Phys. 25 (2019), no. 5, 1591-1612.

doi: 10.4208/cicp.OA-2018-0013

Year 2018

[5] Bao, Gang; Hu, Guanghui; Yin, Tao: Time-harmonic acoustic scattering from locally perturbed half-planes. SIAM J. Appl. Math. 78 (2018), no. 5, 2672-2691.

doi: 10.1137/18M1164068

[6] Bao, Gang; Cao, Yanzhao; Hao, Yongle; Zhang, Kai: A robust numerical method for the random interface grating problem via shape calculus, weak Galerkin method, and low-rank approximation. J. Sci. Comput. 77 (2018), no. 1, 419-442.

doi: 10.1007/s10915-018-0712-z

[7] Bao, Gang; Hu, Guanghui; Sun, Jiguang; Yin, Tao: Direct and inverse elastic scattering from anisotropic media. J. Math. Pures Appl. (9) 117 (2018), 263-301.

doi: 10.1016/j.matpur.2018.01.007 [arXiv]

[8] Bao, Gang; Gao, Yixian; Li, Peijun: Time-domain analysis of an acoustic-elastic interaction problem. Arch. Ration. Mech. Anal. 229 (2018), no. 2, 835-884.

doi: 10.1007/s00205-018-1228-2

[9] Bao, Gang; Hu, Guanghui; Kian, Yavar; Yin, Tao: Inverse source problems in elastodynamics. Inverse Problems 34 (2018), no. 4, 045009, 31 pp.

doi: 10.1088/1361-6420/aaaf7e [arXiv]

[10] Bao, Gang; Zhang, Lei: Uniqueness results for scattering and inverse scattering by infinite rough surfaces with tapered wave incidence. SIAM J. Imaging Sci. 11 (2018), no. 1, 361-375.

doi: 10.1137/17M1138996

Year 2017

[11] Bao, Gang; Chen, Chuchu; Li, Peijun: Inverse random source scattering for elastic waves. SIAM J. Numer. Anal. 55 (2017), no. 6, 2616-2643.

doi: 10.1137/16M1088922 [arXiv]

[12] Bao, Gang; Xu, Liwei; Yin, Tao: An accurate boundary element method for the exterior elastic scattering problem in two dimensions. J. Comput. Phys. 348 (2017), 343-363.

doi: 10.1016/j.jcp.2017.07.032 [arXiv]

[13] Bao, Gang; Zhang, Hai: Stability for the lens rigidity problem. Arch. Ration. Mech. Anal. 225 (2017), no. 3, 1127-1160.

doi: 10.1007/s00205-017-1123-2 [arXiv]

Year 2016

[14] Bao, Gang; Chen, Chuchu; Li, Peijun: Inverse random source scattering problems in several dimensions. SIAM/ASA J. Uncertain. Quantif. 4 (2016), no. 1, 1263-1287.

doi: 10.1137/16M1067470

[15] Bao, Gang; Zhang, Lei: Shape reconstruction of the multi-scale rough surface from multi-frequency phaseless data. Inverse Problems 32 (2016), no. 8, 085002, 16 pp.

doi: 10.1088/0266-5611/32/8/085002

[16] Bao, Gang; Li, Peijun; Wang, Yuliang: Near-field imaging with far-field data. Appl. Math. Lett. 60 (2016), 36-42.

doi: 10.1016/j.aml.2016.03.023

[17] Bao, Gang; Liu, Di; Luo, Songting: Multiscale modeling and computation of optically manipulated nano devices. J. Comput. Phys. 316 (2016), 558-572.

doi: 10.1016/j.jcp.2016.04.033

[18] Bao, Gang; Yun, KiHyun: Stability for the electromagnetic scattering from large cavities. Arch. Ration. Mech. Anal. 220 (2016), no. 3, 1003-1044.

doi: 10.1007/s00205-015-0947-x

[19] Bao, Gang; Hu, Guanghui; Liu, Di: Towards translational invariance of total energy with finite element methods for Kohn-Sham equation. Commun. Comput. Phys. 19 (2016), no. 1, 1-23.

doi: 10.4208/cicp.190115.200715a

Year 2015

[20] Bao, Gang; Xu, Xiang: Identification of the material properties in nonuniform nanostructures. Inverse Problems 31 (2015), no. 12, 125003, 11 pp.

doi: 10.1088/0266-5611/31/12/125003

[21] Bao, Gang; Li, Peijun; Lin, Junshan; Triki, Faouzi: Inverse scattering problems with multi-frequencies. Inverse Problems 31 (2015), no. 9, 093001, 21 pp.

doi: 10.1088/0266-5611/31/9/093001

[22] Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi: A recursive algorithm for multifrequency acoustic inverse source problems. SIAM J. Numer. Anal. 53 (2015), no. 3, 1608-1628.

doi: 10.1137/140993648

[23] Wang, Zhoufeng; Bao, Gang; Li, Jiaqing; Li, Peijun; Wu, Haijun: An adaptive finite element method for the diffraction grating problem with transparent boundary condition. SIAM J. Numer. Anal. 53 (2015), no. 3, 1585-1607.

doi: 10.1137/140969907

[24] Bao, Gang; Hu, Guanghui; Liu, Di: Real-time adaptive finite element solution of time-dependent Kohn-Sham equation. J. Comput. Phys. 281 (2015), 743-758.

doi: 10.1016/j.jcp.2014.10.052

[25] Bao, Gang; Lai, Jun: Radar cross section reduction of a cavity in the ground plane: TE polarization. Discrete Contin. Dyn. Syst. Ser. S 8 (2015), no. 3, 419-434.

doi: 10.3934/dcdss.2015.8.419

Year 2014

[26] Bao, Gang; Li, Peijun: Convergence analysis in near-field imaging. Inverse Problems 30 (2014), no. 8, 085008, 26 pp.

doi: 10.1088/0266-5611/30/8/085008

[27] Bao, Gang; Zhang, Hai: Sensitivity analysis of an inverse problem for the wave equation with caustics. J. Amer. Math. Soc. 27 (2014), no. 4, 953-981.

doi: 10.1090/S0894-0347-2014-00787-6 [arXiv]

[28] .Bao, Gang; Lai, Jun: Optimal shape design of a cavity for radar cross section reduction. SIAM J. Control Optim. 52 (2014), no. 4, 2122-2140.

doi: 10.1137/130905708

[29] Bao, Gang; Huang, Kai; Li, Peijun; Zhao, Hongkai: A direct imaging method for inverse scattering using the generalized Foldy-Lax formulation. Inverse problems and applications, 49-70, Contemp. Math., 615, Amer. Math. Soc., Providence, RI, 2014.

doi: 10.1090/conm/615/12264

[30] Bao, Gang; Liu, Hongyu: Nearly cloaking the electromagnetic fields. SIAM J. Appl. Math. 74 (2014), no. 3, 724-742.

doi: 10.1137/130939298

[31] Bao, Gang; Li, Peijun: Near-field imaging of infinite rough surfaces in dielectric media. SIAM J. Imaging Sci. 7 (2014), no. 2, 867-899.

doi: 10.1137/130944485

[32] Bao, Gang; Liu, Hongyu; Zou, Jun: Nearly cloaking the full Maxwell equations: cloaking active contents with general conducting layers. J. Math. Pures Appl. (9) 101 (2014), no. 5, 716-733.

doi: 10.1016/j.matpur.2013.10.010 [arXiv]

[33] Bao, Gang; Lin, Junshan; Mefire, Séraphin M.: Numerical reconstruction of electromagnetic inclusions in three dimensions. SIAM J. Imaging Sci. 7 (2014), no. 1, 558-577.

doi: 10.1137/130937640

[34] Bao, Gang; Lai, Jun; Qian, Jianliang: Fast multiscale Gaussian beam methods for wave equations in bounded convex domains. J. Comput. Phys. 261 (2014), 36-64.

doi: 10.1016/j.jcp.2013.12.034

[35] Bao, Gang; Zhang, Hai; Zou, Jun: Unique determination of periodic polyhedral structures by scattered electromagnetic fields II: The resonance case. Trans. Amer. Math. Soc. 366 (2014), no. 3, 1333-1361.

doi: 10.1090/S0002-9947-2013-05761-3

[36] Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin: An inverse random source problem for the Helmholtz equation. Math. Comp. 83 (2014), no. 285, 215-233.

doi: 10.1090/S0025-5718-2013-02730-5

■Korea：Jin-Keun Seo(PI)

peer reviewing

Year 2019

[1] Seo, Jin Keun; Kim, Kang Cheol; Jargal, Ariungerel; Lee, Kyounghun; Harrach, Bastian: A learning-based method for solving ill-posed nonlinear inverse problems: a simulation study of lung EIT. SIAM J. Imaging Sci. 12 (2019), no. 3, 1275-1295.

doi: 10.1137/18M1222600 [arXiv]

Year 2018

[2] Zhang, Tingting; Li, Rihui; Potter, Thomas; Seo, Jin Keun; Li, Guanglin; Zhang, Yingchun: Frequency-dependent anisotropic modeling and analysis using mfEIT: a computer simulation study. Int. J. Numer. Methods Biomed. Eng. 34 (2018), no. 7, e2980, 12 pp.

doi: 10.1002/cnm.2980

[3] Zhou, Liangdong; Harrach, Bastian; Seo, Jin Keun: Monotonicity-based electrical impedance tomography for lung imaging. Inverse Problems 34 (2018), no. 4, 045005, 25 pp.

doi: 10.1137/17M1138996 [arXiv]

Year 2017

[4] Park, Hyoung Suk; Choi, Jae Kyu; Seo, Jin Keun: Characterization of metal artifacts in X-ray computed tomography. Comm. Pure Appl. Math. 70 (2017), no. 11, 2191-2217.

doi: 10.1002/cpa.21680 [arXiv]

[5]. Ammari, Habib; Kwon, Hyeuknam; Lee, Seungri; Seo, Jin Keun: Mathematical framework for abdominal electrical impedance tomography to assess fatness. SIAM J. Imaging Sci. 10 (2017), no. 2, 900-919.

doi: 10.1137/16M1085826 [arXiv]

[6] Chipot, Michel; Lee, Kyounghun; Seo, Jin Keun: Mathematical model of conductive fabric-based flexible pressure sensor. Appl. Math. Model. 48 (2017), 775-786.

doi: 10.1016/j.apm.2017.02.027

[7] Song, Yizhuang; Ammari, Habib; Seo, Jin Keun: Fast magnetic resonance electrical impedance tomography with highly undersampled data. SIAM J. Imaging Sci. 10 (2017), no. 2, 558-577.

doi: 10.1137/16M1071468

[8] Ammari, Habib; Giovangigli, Laure; Nguyen, Loc Hoang; Seo, Jin-Keun: Admittivity imaging from multi-frequency micro-electrical impedance tomography. J. Math. Anal. Appl. 449 (2017), no. 2, 1601-1618.

doi: 10.1016/j.jmaa.2017.01.004 [arXiv]

Year 2016

[9] Ammari, Habib; Seo, Jin Keun; Zhang, Tingting: Mathematical framework for multi-frequency identification of thin insulating and small conductive inhomogeneities. Inverse Problems 32 (2016), no. 10, 105001, 23 pp.

doi: 10.1088/0266-5611/32/10/105001 [arXiv]

[10] Park, Hyoung Suk; Gao, Hao; Lee, Sung Min; Seo, Jin Keun: Towards beam hardening correction for polychromatic x-ray CT. J. Comput. Math. 34 (2016), no. 6, 671-682.

doi: 10.4208/jcm.1607-m2016-0531

[11] Ammari, Habib; Giovangigli, Laure; Kwon, Hyeuknam; Seo, Jin-Keun; Wintz, Timothée: Spectroscopic conductivity imaging of a cell culture. Asymptot. Anal. 100 (2016), no. 1-2, 87-109.

doi: 10.3233/ASY-161387

[12] Alberti, Giovanni S.; Ammari, Habib; Jin, Bangti; Seo, Jin-Keun; Zhang, Wenlong: The linearized inverse problem in multifrequency electrical impedance tomography. SIAM J. Imaging Sci. 9 (2016), no. 4, 1525-1551.

doi: 10.1137/16M1061564 [arXiv]

[13] Jang, Jaeseong; Ahn, Chi Young; Choi, Jung-Il; Seo, Jin Keun: Inverse problem for color Doppler ultrasound-assisted intracardiac blood flow imaging. Comput. Math. Methods Med. 2016, Art. ID 6371078, 10 pp.

doi: 10.1155/2016/6371078

[14] Ammari, Habib; Garnier, Josselin; Giovangigli, Laure; Jing, Wenjia; Seo, Jin-Keun: Spectroscopic imaging of a dilute cell suspension. J. Math. Pures Appl. (9) 105 (2016), no. 5, 603-661.

doi: 10.1016/j.matpur.2015.11.009 [arXiv]

Year 2015

[15] Ammari, Habib; Seo, Jin Keun; Zhou, Liangdong: Viscoelastic modulus reconstruction using time harmonic vibrations. Math. Model. Anal. 20 (2015), no. 6, 836-851.

doi: 10.3846/13926292.2015.1117531 [arXiv]

[16] Seo, Jin Keun; Kwon, Hyeuknam; Woo, Eung Je; Zhang, Tingting: Mathematical models and methods for noninvasive bioimpedance imaging. Proceedings of the 8th International Congress on Industrial and Applied Mathematics, 345-364, Higher Ed. Press, Beijing, 2015.

[17] Ammari, Habib; Kwon, Hyeuknam; Lee, Yoonseop; Kang, Kyungkeun; Seo, Jin Keun: Magnetic resonance-based reconstruction method of conductivity and permittivity distributions at the Larmor frequency. Inverse Problems 31 (2015), no. 10, 105001, 24 pp.

doi: 10.1088/0266-5611/31/10/105001 [arXiv]

[18] Ammari, Habib; Kang, Kyungkeun; Lee, Kyounghun; Seo, Jin Keun: A pressure distribution imaging technique with a conductive membrane using electrical impedance tomography. SIAM J. Appl. Math. 75 (2015), no. 4, 1493-1512.

doi: 10.1137/140984671

[19] Jang, Jaeseong; Ahn, Chi Young; Jeon, Kiwan; Heo, Jung; Lee, DongHak; Joo, Chulmin; Choi, Jung-il; Seo, Jin Keun: A reconstruction method of blood flow velocity in left ventricle using color flow ultrasound. Comput. Math. Methods Med. 2015, Art. ID 108274, 15 pp.

doi: 10.1155/2015/108274

[20] Ammari, Habib; Lee, Eunjung; Kwon, Hyeuknam; Seo, Jin Keun; Woo, Eung Je: Mathematical modeling of mechanical vibration-assisted conductivity imaging. SIAM J. Appl. Math. 75 (2015), no. 3, 1031-1046.

doi: 10.1137/140964618 [arXiv]

[21] Ammari, Habib; Bretin, Elie; Millien, Pierre; Seppecher, Laurent; Seo, Jin-Keun: Mathematical modeling in full-field optical coherence elastography. SIAM J. Appl. Math. 75 (2015), no. 3, 1015-1030.

doi: 10.1137/140970409 [arXiv]

[22] Ammari, Habib; Grasland-Mongrain, Pol; Millien, Pierre; Seppecher, Laurent; Seo, Jin-Keun: A mathematical and numerical framework for ultrasonically-induced Lorentz force electrical impedance tomography. J. Math. Pures Appl. (9) 103 (2015), no. 6, 1390-1409.

doi: 10.1016/j.matpur.2014.11.003 [arXiv]

Year 2014

[23] Choi, Jae Kyu; Park, Hyoung Suk; Wang, Shuai; Wang, Yi; Seo, Jin Keun: Inverse problem in quantitative susceptibility mapping. SIAM J. Imaging Sci. 7 (2014), no. 3, 1669-1689.

doi: 10.1137/140957433