Institut für Numerische und Angewandte Mathematik - Arbeitsgruppe Inverse Probleme
Quyen Tran Nhan Tam



Institut für Numerische und Angewandte Mathematik
Lotzestraße 16-18
37083 Göttingen

Raum 304
Telefon 0551 39 4509
Email quyen.tran@math.uni-goettingen.de

  • September, 2017 - present: Institute for Numerical and Applied Mathematics, University of Goettingen. Host: Prof. Dr. Thorsten Hohage

  • March, 2015 - August, 2017: Department of Mathematics, University of Hamburg . Host: Prof. Dr. Michael Hinze

  • October, 2007 - July, 2012: PhD Student (Dissertation submission: August, 2011; Defenses: November, 2011 and July, 2012), Institute of Mathematics, Vietnam Academy of Science and Technology. Supervised by: Prof. Dr. Dinh Nho Hào




    Research interests


    • Inverse problems in partial differential equations (PDEs)

    • Optimal control of PDEs

    • Numerical analysis of discretized control problems and inverse problems in PDEs

    • Bayesian approach to inverse problems of parameter identification in mathematical physics




    Publications


      Recent material

    • [9] Hinze M., Hofmann B., Quyen T.N.T. 2017. Variational method for reconstructing the source in elliptic systems from boundary observations. arXiv file

    • [8] Quyen T.N.T. 2017. Variational method for multiple parameter identification in elliptic PDEs. arXiv file


      Articles


      • [7] Hinze M., Kaltenbacher B., Quyen T.N.T. 2017. Identifying conductivity in electrical impedance tomography with total variation regularization. Numerische Mathematik. pp. 43. https://doi.org/10.1007/s00211-017-0920-8
      • [6] Hinze M., Quyen T.N.T. 2016. Matrix coefficient identification in an elliptic equation with the convex energy functional method. Inverse problems 32: 085007, pp. 29. http://dx.doi.org/10.1088/0266-5611/32/8/085007
      • [5] Hào D.N., Quyen T.N.T. 2014. Finite element methods for coefficient identification in an elliptic equation. Applicable Analysis 93: 1533-1566. https://doi.org/10.1080/00036811.2013.840365
      • [4] Hào D.N., Quyen T.N.T. 2012. Convergence rates for Tikhonov regularization of a two-coefficient identification problem in an elliptic boundary value problem. Numerische Mathematik 120: 45-77. https://doi.org/10.1007/s00211-011-0406-z
      • [3] Hào D.N., Quyen T.N.T. 2012. Convergence rates for total variation regularization of coefficient identification problems in elliptic equations II. Journal of Mathematical Analysis and Applications 388: 593-616. http://dx.doi.org/10.1016/j.jmaa.2011.11.008
      • [2] Hào D.N., Quyen T.N.T. 2011. Convergence rates for total variation regularization of coefficient identification problems in elliptic equations I. Inverse Problems 27: 075008, pp. 28. http://dx.doi.org/10.1088/0266-5611/27/7/075008
      • [1] Hào D.N., Quyen T.N.T. 2010. Convergence rates for Tikhonov regularization of coefficient identification problems in Laplace-type equations. Inverse Problems 26: 125014, pp. 23. http://dx.doi.org/10.1088/0266-5611/26/12/125014



      All publications as BibTeX-file: bibtex



    Awards and offers



    Teaching


    • Ordinary differential equations, Partial differential equaions
    • Convex analysis and variational problems, Function Analysis
    • Differential calculus in Banach spaces
    • Computational Probability & Statistics




    Conferences and Workshops



    Upcoming



    Reports

    • [10] Inverse source problem in elliptic equations from boundary observations, Young Researchers Meeting & Computational Science and Engineering (CSE) Workshop, Plön, Germany, March 21-24, 2017

    • [9] Independent parameter identification in elliptic partial differential equations, Gesellschaft für Angewandte Mathematik und Mechanik (GAMM), Bahaus Universität Weimar and Technische Universität, Weimar, Germany, March 6-10, 2017

    • [8] Variational method for reconstruction source and state in elliptic systems from boundary observations, IFIP Workshop: Optimal Control Meets Inverse Problems, Universität Duisburg-Essen, Essen, Germany, September 5-9, 2016

    • [7] Parameter identification in partial differential equations, Young Researchers Meeting & Computational Science and Engineering (CSE) Workshop, Plön, Germany, March 21-24, 2016

    • [6] Energy functional approach for identifying simultaneously the diffusion matrix, reaction coefficient and source term in an elliptic PDE, Gesellschaft für Angewandte Mathematik und Mechanik (GAMM), Braunschweig, Germany, March 7-11, 2016

    • [5] Matrix coefficient identification in an elliptic equation, Jahrestagung der Deutschen Mathematiker Vereinigung (DMV), University of Hamburg, Germany, September 21-25, 2015

    • [4] Computational Methods for Coefficient Inverse Problems in Partial Differential Equations, Alexander von Humboldt Conference, University of Bremen, Germany, April 15-17, 2015

    • [3] Convergence Rates for the Tikhonov Regularization of a Coefficient Identification Problem in an Elliptic Boundary Value Problem, Vietnam Mathematical Society–French Mathematical Society Joint Congress, Hue University, Vietnam, August 20–24, 2012

    • [2] Convergence Rates for the Tikhonov Regularization of Coefficient Identification Problems in Elliptic Equations, 5th International Conference on Hight Performance Scientific Computing, Institute of Mathematics, Vietnam – Universität Heidelberg, Germany–Joint Congress, Hanoi, Vietnam, March 5–9, 2012



    Conference papers

    • [1] Total variation regularization of coefficient identification problems in elliptic equations, in Proceedings of the 1st International Conference on Analysis and Applied Mathematics, SaiGon University, HoChiMinh City, Vietnam, March 14-15, 2011, pages: 89–107 (with Dinh Nho Hào)