Prof. LIU Hongyu (劉宏宇)

Research Output

  1. 2021
  2. Online published

    On an artificial neural network for inverse scattering problems

    Gao, Y., Liu, H., Wang, X. & Zhang, K., 1 Jan 2022, In: Journal of Computational Physics. 448, 110771.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  3. Published

    On a local geometric property of the generalized elastic transmission eigenfunctions and application

    Diao, H., Liu, H. & Sun, B., Oct 2021, In: Inverse Problems. 37, 10, 105015.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  4. Published

    Mathematical analysis of plasmon resonances for curved nanorods

    Deng, Y., Liu, H. & Zheng, G., Sep 2021, In: Journal des Mathematiques Pures et Appliquees. 153, p. 248-280

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  5. Published

    On a Novel Numerical Scheme for Riesz Fractional Partial Differential Equations

    Lai, J. & Liu, H., Aug 2021, In: Mathematics. 9, 16, 2014.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 1
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  6. Published

    On Calderón's inverse inclusion problem with smooth shapes by a single partial boundary measurement

    Liu, H., Tsou, C. & Yang, W., May 2021, In: Inverse Problems. 37, 5, 055005.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 1
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  7. Published

    Unique continuation from a generalized impedance edge-corner for Maxwell's system and applications to inverse problems

    Diao, H., Liu, H., Zhang, L. & Zou, J., Mar 2021, In: Inverse Problems. 37, 3, 035004.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 2
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  8. Published

    Design and finite element simulation of information-open cloaking devices

    Wang, H., Yang, W., He, B. & Liu, H., 1 Feb 2021, In: Journal of Computational Physics. 426, 109944.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  9. Published

    Determining a Random Schrödinger Operator: Both Potential and Source are Random

    Li, J., Liu, H. & Ma, S., Jan 2021, In: Communications in Mathematical Physics. 381, 2, p. 527–556

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 4
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  10. Published

    Sharp estimate of electric field from a conductive rod and application

    Fang, X., Deng, Y. & Liu, H., Jan 2021, In: Studies in Applied Mathematics. 146, 1, p. 279-297 19 p.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 1
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  11. Published

    Three-Dimensional Elastic Scattering Coefficients and Enhancement of the Elastic Near Cloaking

    Liu, H., Tsui, W. Y., Wahab, A. & Wang, X., Jan 2021, In: Journal of Elasticity. 143, 1, p. 111-146

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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  12. Published

    On corners scattering stably and stable shape determination by a single far-field pattern

    Blasten, E. & Liu, H., 2021, In: Indiana University Mathematics Journal. 70, 3, p. 907-947

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 3
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  13. Published

    ON NOVEL GEOMETRIC STRUCTURES OF LAPLACIAN EIGENFUNCTIONS IN ℝ3 AND APPLICATIONS TO INVERSE PROBLEMS

    CAO, X., DIAO, H., LIU, H. & ZOU, J., 2021, In: SIAM Journal on Mathematical Analysis. 53, 2, p. 1263-1294

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 1
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  14. Published

    On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications

    Diao, H., Cao, X. & Liu, H., 2021, In: Communications in Partial Differential Equations. 46, 4, p. 630-679

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 7
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  15. Published

    Scattering by curvatures, radiationless sources, transmission eigenfunctions, and inverse scattering problems

    BLÅSTEN, E. L. K. & LIU, H., 2021, In: SIAM Journal on Mathematical Analysis. 53, 4, p. 3801-3837

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 4
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  16. 2020
  17. Online published

    On local and global structures of transmission eigenfunctions and beyond

    Liu, H., 7 Nov 2020, (Online published) In: Journal of Inverse and Ill-Posed Problems.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 3
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  18. Published

    IDENTIFYING VARYING MAGNETIC ANOMALIES USING GEOMAGNETIC MONITORING

    Deng, Y., Liu, H. & Tsui, W., Nov 2020, In: Discrete and Continuous Dynamical Systems. 40, 11, p. 6411-6440

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 2
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  19. Published

    On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems

    Cao, X., Diao, H., Liu, H. & Zou, J., Nov 2020, In: Journal de Mathematiques Pures et Appliquees. 143, p. 116-161

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 8
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  20. Published

    On generalized Holmgren’s principle to the Lamé operator with applications to inverse elastic problems

    Diao, H., Liu, H. & Wang, L., Oct 2020, In: Calculus of Variations and Partial Differential Equations. 59, 5, 179.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 8
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  21. Published

    A neural network scheme for recovering scattering obstacles with limited phaseless far-field data

    Yin, W., Yang, W. & Liu, H., 15 Sep 2020, In: Journal of Computational Physics. 417, 109594.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 7
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  22. Published

    Recovering piecewise constant refractive indices by a single far-field pattern

    Blasten, E. & Liu, H., Aug 2020, In: Inverse Problems. 36, 8, 085005.

    Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

    Scopus citations: 12
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