Curriculum Vitae


Mrs. Larisa Beilina, Ph.D. in Mathematics


 Professor  of Applied Mathematics


Department of Mathematical Sciences


Chalmers University of Technology and University of Gothenburg, Sweden


 

Education

 

Degree Date School
PhD in Mathematics 2003

 

Chalmers University of Technology  and GU, Gothenburg, Sweden

 

Ph.Lic. in Mathematics 2002

Chalmers University of Technology and GU,  Gothenburg, Sweden

M.Sc. in Mathematics 1994

 

University of Latvia, Riga, Latvia

 


 

Thesis

• Adaptive Finite Element/Dierence Methods for Time-Dependent Inverse Scattering problems. Doctoral Dissertation, Chalmers University of Technology, University, Gothenburg,Sweden, 2003. Thesis Advisor Professor Claes Johnson.

• Adaptive Hybrid FEM/FDM methods for Inverse Scattering problems. Thesis for the Degree of LICENTIATE of Engineering, Chalmers University of Technology, University, Gothenburg, Sweden, 2002. Thesis Advisor Professor Claes Johnson.

 

Scientific professional experience

  • 2018 - present    Professor at the Department of Mathematical Sciences at Chalmers University of Technology and University of Gothenburg, Sweden.
  • 2011 -  2017     Associate Professor, Docent at the Department of Mathematical Sciences at Chalmers University of Technology and University of Gothenburg, Sweden.
  • 2009 - 2010          Associate Lecturer at the Department of Mathematical Sciences at Chalmers University of Technology and Gothenburg University, Sweden.
  • 2007-2008            PostDoc position at Norwegian University of Science and Technology, NTNU, Trondheim, Norway.
  • 2004                      Lecturer at Basel University, course "Computational Differential Equations", Master Program, Switzerland.
  • 2003 - 2005         PostDoc position at Mathematical Department, Basel University,  Switzerland.
  • 2000 - 2003         PhD student at Chalmers University of Technology, Gothenburg, Sweden.
  • 1998 - 1999         Research fellowship (Visby program) at Chalmers University of Technology, Gothenburg, Sweden.
  • Particular computational tools

    • Adaptive hybrid FEM/FDM methods for inverse scattering problems
    • Hybrid (domain decomposition) FEM/FDM methods
    • Adaptive hybrid FEM/FDM methods for transient wave equations (scalar, elastic and electromagnetic)
    • Numerical Analysis of PDEs and mathematical software
    • Scientic computing, parallel processing, high performance computing (C++ libraries PETSC (MPI uni and MPI), MV++ classes)
    • Optimization
    • Grid generation and applications (AVS/Express, CAD, GID, TETGEN, PLOTMTV)
    • Programming(C/C++, PETSc, Pascal, Fortran, Matlab/Femlab, Assembler, Natural/ADABAS)

      Participation in research projects and international collaboration

  • 1998-1999   Project "Osmotic mass transfer through the semipermeable membrane". Collaborative project within the Visby Program between Sweden (Chalmers University of Technology, Prof.Claes Johnson) and Latvia (Latvian State University, L.Beilina).
  • 2003-2005     Project "New numerical methods for Maxwell equations". The University of Basel, Switzerland, under the leadership of Prof. Marcus Grote. I worked on the hybrid interior penalty Discontinuous Galerkin FEM/FDM method for solution of Maxwell equations and application of it to solution of the MCIP.
  • 2003-2005     Project "Quantitative sonographic imaging of human hard tissue by mathematical modelling in scanning acoustic microscopy. This was a collaborative project with the Medical Center of The Frankfurt University (Prof. Dr. Robert Sader), the Institute for Applied Mathematics of the University of Basel (Prof. Marcus Grote), and the Institute of Experimental Surgery and Hospital Management, University Hospital of Basel (Prof. Michael Heberer). I have applied the method which I have developed in my Ph.D. Thesis to reconstruct the elastic medium in scanning acoustic microscopy.
  • 2007-2008          Project "Information and Communication Technologies" at Norwegian University of Science and Technology, NTNU, in collaboration with the project leader Prof. Harald Krogstad. I  worked on the application of adaptive FEM for solution of an inverse electromagnetic scattering problem.
  • 2007-2008      The Notur project (THE NORWEGIAN METACENTER FOR COMPUTATIONAL SCIENCE) of High Performance Computing (HPC) at Norwegian University of Science and Technology, NTNU.  I have developed the C++ software in a parallel infrastructure for numerical solutions of some hyperbolic equations with variable coecients as well as for corresponding MCIPs.
  • 2007- 2011    Project "Globally convergent numerical methods for Multidimensional Coefficient Inverse Problems".    This Project was supported by the  Army    Research  Office (ARO) grant   W911NF-08-1-0470.  PI of the project was  Prof. Michael V. Klibanov,  University of North Carolina at Charlotte, USA.
  • 2010-2013             Project "Adaptive finite element methods for solutions of inverse problems"  supported by the Swedish Institute, Visby Program. This is the collaborative project between Sweden and Russia (PI of the project).  Project includes development of new mathematical idea - adaptivity technique - to the solution of coefficient inverse problems in imaging using electromagnetic waves as well as in signal reconstruction in scanning electron tomography.
  • 2011 – 2014         Project  “Globally Convergent Numerical Methods for  Inverse Problems of Imaging of Buried Targets”.  I am PI of this project together with other PI's:   Prof. Michael V. Klibanov,  University of North Carolina at Charlotte, USA, and  Prof. Michael Fiddy,  Optical Center of the  University of North Carolina at Charlotte, USA.  This project  is supported by the  USA  Army    Research Laboratory  grant     W911NF-11-1-0399.
  • 2012 -  2015   Project ``Global convergence and adaptivity for coefficient inverse problems for Maxwell equations'' supported by the Swedish Research Council, VR, Sweden. I am PI of this project. Project includes development of the new mathematical idea  - adaptive finite element method-  for the solution of coefficient inverse problems in subsurface  imaging   using electromagnetic waves.
  • 2011 - present   I am head of the new started scientific computing and educational project WaveES for the fast solution of the transient Wave Equations (acoustic, elastic and electromagnetic), http://waves24.com/ 
  •  

    List of publications of L. Beilina

     

    Books

      L. Beilina, E. Karchevskii, M. Karchevskii,  Numerical Linear Algebra: theory and applications, Springer, 2017.
    L. Beilina and M. V. Klibanov. Approximate global convergence and adaptivity for Coefficient Inverse Problems, Springer, New York, 2012.
    L. Beilina (Ed.), Applied Inverse Problems, Series: Springer Proceedings in Mathematics & Statistics, Vol. 48, DOI 10.1007/978-1-4614-7816-4,  2013.
     
    L. Beilina, Shestopalov, Yury V. (Eds.), Inverse Problems and Large-Scale Computations, Series: Springer Proceedings in Mathematics & Statistics, Vol. 52, DOI: 10.1007/978-3-319-00660-4, 2013.
    L. Beilina (Ed.), Inverse Problems and Applications, Series: Springer Proceedings in Mathematics & Statistics, Vol. 120, ISBN 978-3-319-12498-8, 2015.
     
    Peer-reviewed articles
     

     


    1. L. Beilina, Adaptive hybrid FEM/FDM methods for inverse scattering problems. Inverse Problems and Information Technologies, V.1, N.3, pp.73-116, 2002.
    2. L. Beilina, Adaptive hybrid nite element/dierence methods: application to inverse elastic scattering. Inverse and Ill-Posed Problems, V.11, N.6, pp.585-618, 2003.  
    3. L. Beilina, Eciency of a Hybrid FEM/FDM methods for elastic waves, Applied and Computational Mathematics, V.2, N.1, pp.13-29, 2003.
    4. L. Beilina, Adaptive Finite Element/Dierence Method for inverse elastic scattering waves , Applied and Computational Mathematics, V.2, pp.119-134, 2003.
    5. L. Beilina, S. Korotov, M. Krizek, Local Nonobtuse tetrahedral renement techniques near Fichera-like corners. Applications of Mathematics, N.50, pp. 569-581, 2005.
    6. L. Beilina, C. Johnson, A posteriori error estimation in computational inverse scattering, Mathematical Models and Methods in Applied Sciences, V.15, N.1, pp.23-37, 2005.
    7. L. Beilina and C. Clason, An adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy, SIAM Sci.Comp., V.28, I.1, pp.382-402, 2006.
    8. L. Beilina, M. V. Klibanov, A globally convergent numerical method for some coefficient inverse problems with resulting second order elliptic equations, SIAM Sci.Comp., V.31, N.1, 478-509, 2008.
    9. L. Beilina, M. P. Hatlo, H. E. Krogstad, Adaptive algorithm for an inverse electromagnetic scattering problem, Applicable Analysis, V.88, N.1, 15-28, 2009.
    10. L. Beilina and M. V. Klibanov. A posteriori error estimates for the adaptivity technique for the Tikhonov functional and global convergence for a coefficient inverse problem, Inverse Problems, 26, 045012, 2010.
    11. L. Beilina and M. V. Klibanov. Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D, J. Inverse and Ill-posed problems, 18(1), 85-132, 2010.
    12. M.V. Klibanov, M.A. Fiddy, L. Beilina, N. Pantong and J. Schenk, Picosecond scale experimental verication of a globally convergent numerical method for a coefficient inverse problem, Inverse problems, 26, 045003, 2010.
    13. J. Xin, L.Beilina, Michael V.Klibanov, Globally convergent numerical methods for coefficient inverse problems for imaging inhomogeneities, Computing in Science and Engineering, (CISE), V.12(5), pp.64-77, 2010.
    14. L.Beilina, M.V.Klibanov and M.Yu.Kokurin, Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem, Journal of Mathematical Sciences, JMS, Springer, 167(3), pp.279-325, 2010.
    15. L.Beilina, Adaptive Finite Element Method for a coefficient inverse problem for the Maxwell's system, Applicable Analysis, V.90(10), pp.1461-1479, 2011.
    16. L.Beilina, Adaptive Hybrid Finite Element/Dierence Method for Maxwell's Equations: An a Priori Error Estimate and Efficiency, Applied and Computational Mathematics (ACM), V.9(2), 2010.
    17.M. Asadzadeh and L. Beilina, A posteriori error analysis in a globally convergent numerical method for a hyperbolic coefficient inverse problem, Inverse Problems, 26, 115007, 2010.
    18. L. Beilina, M. Grote, Adaptive Hybrid Finite Element/Difference Method for Maxwell's equations, TWMS J. of Pure and Applied Mathematics, V.1(2), pp.176-197, 2010.
    19. A.Kuzhuget, L.Beilina, M.V.Klibanov, Global convergence and quasi-reversibility for a coefficient inverse problem with backscattered data,  Journal of Mathematical Sciences, JMS, Springer, 181, 2, 126-163, 2012.
    20. L.Beilina, M.V.Klibanov, A.Kuzhuget, New a posteriori error estimates for adaptivity technique and global convergence for a hyperbolic coefficient inverse problem,
    Journal of Mathematical Sciences, JMS, Springer, 172, 4, 449-476, 2011.
    21. L.Beilina, M.V.Klibanov, Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm, Inverse Problems, 26, 125009, 2010.
    22. M.V.Klibanov, A.B.Bakushinsky, L.Beilina, Why a minimizer of the Tikhonov functional is closer to the exact solution than the first guess, J. Inverse and Ill-posed problems, 19, pp.83-105, 2011.
    23. Beilina L and Klibanov M V The philosophy of the approximate global convergence for multidimensional coefficient inverse problems, Complex Variables and Elliptic Equations, DOI:10.1080/17476933.2011.636432, 2012.

    24. L. Beilina,     Energy estimates and numerical verification of the stabilized domain decomposition finite element/finite difference approach for the Maxwell's system in time domain,  CEJM, 11(4), pp.702-733, DOI: 10.2478/s11533-013-0202-3, 2013.

    25. L. Beilina and M.V. Klibanov,    A new approximate mathematical model for global convergence for a coefficient inverse problem with backscattering data, J. Inverse and Ill-Posed Problems, 20, 513-565, 2012.  

    26. A.V. Kuzhuget, L. Beilina, M.V. Klibanov, A. Sullivan, L. Nguyen and M.A . Fiddy, Blind backscattering experimental data collected in the field and an approximately globally convergent inverse algorithm, Inverse Problems, 28, 095007, 2012.

    27. A.V. Kuzhuget, L. Beilina, M.V. Klibanov, A. Sullivan, L. Nguyen and M.A. Fiddy, Quantitative image recovery from measured blind backscattered data using a globally convergent inverse method, IEEE Transactions of Geoscience and Remote Sensing,  DOI 10.1109/TGRS.2012.2211885,  2012.

    28. A.V. Kuzhuget, L. Beilina and M.V. Klibanov, Approximate global convergence and quasi-reversibility for a coefficient inverse problem with backscattering data, J. of Mathematical Sciences, 181, 126-163, 2012.

    29.  L. Beilina, M. V. Klibanov, Relaxation property for the adaptivity for ill-posed problems, Applicable Analysis}, DOI:10.1080/00036811.2013.768339, 2013.

    30.  N. Koshev and L. Beilina, An Adaptive Finite Element  Method for Fredholm Integral Equations of the first kind and its   verification on experimental data, CEJM, 11(8), pp. 1489-1509  2013.

     31. L. Beilina, Solving the unsolvable, International Innovation, March  (Research Media, UK, pp. 112-114) ISSN 2041-4552, 2013.

    32. L. Beilina, Nguyen Trung Thanh, M. V. Klibanov and M. A. Fiddy, Reconstruction from blind experimental data for an inverse problem for a hyperbolic equation, Inverse Problems 30, 025002, doi:10.1088/0266-5611/30/2/025002, 2014.

    33. Nguyen Trung Thanh, L.Beilina, M.V. Klibanov and M.A. Fiddy, Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method, SIAM J. Scientific Computing, 36 (3), pp.273-293, 2014.

    34. E. M. Karchevskii, A. O. Spiridonov, A. I. Repina and L. Beilina, "Reconstruction of Dielectric Constants of Core and Cladding of Optical Fibers Using Propagation Constants Measurements," Physics Research International, ID 253435,  2014. doi:10.1155/2014/253435.

    35.  L. Beilina, Nguyen Trung Thanh, M.V. Klibanov and J. B. Malmberg, Reconstruction of shapes and refractive indices from backscattering experimental data using the adaptivity,  Inverse   Problems, 30, 105007, 2014

    36. L. Beilina, Nguyen Trung Thanh, M.V. Klibanov and  J. B. Malmberg, Globally convergent and adaptive finite element methods in imaging of buried objects from experimental backscattering radar measurements, Journal of Computational and Applied Mathematics, Elsevier, DOI 10.1016/j.cam.2014.11.055, 2014.

    37.  L. Beilina, M.V. Klibanov, Globally strongly convex cost functional for a coefficient inverse problem,  Nonlinear analysis: real world applications, 22, 272-288, 2015.

    38.  L. Beilina, M. Cristofol and K. Niinimaki, Optimization  approach for the simultaneous reconstruction of the dielectric  permittivity and magnetic permeability functions from limited  observations, \emph{Inverse Problems and Imaging}, 9 (1), pp. 1-25, 2015.

    39.  N. T.  Thanh, L. Beilina, M. V. Klibanov, M. A. Fiddy, Imaging of Buried Objects from Experimental Backscattering Time-Dependent Measurements using a Globally Convergent Inverse Algorithm,  SIAM Journal on   Imaging Sciences, 8(1), 757-786, 2015.

     

    Peer-reviewed conference proceedings

    1. L. Beilina, K. Samuelsson, K. Åhlander, Eciency of a hybrid method for the wave equation. Proceedings of the International Conference on Finite Element Methods: Three dimensional problems. GAKUTO international Series, Mathematical Sciences and Applications, V. 15, 2001.
    2. L. Beilina, C. Johnson, Hybrid FEM/FDM method for Inverse scattering problem.  Numerical Mathematics and Advanced Applications - ENUMATH 2001, Springer-Verlag.
    3. L. Beilina and C. Clason, An inverse medium problem for scanning acoustic microscopy, PAMM ,WILEY-VCH Verlag GmbH & Co., 5, pp.647648, 2005.
    4. L. Beilina, A posteriori error estimation in biomedical imaging, IEEE ISBI2007, Proceedings of International Symposium on Biomedical Imaging: from nano to macro, pp.1372-1375, 2007.
    5. L. Beilina, A posteriori error estimation for an inverse scattering problem, Proceedings of ECCOMAS thematic conference Computational Methods in Structural Dynamic and Earthquake Engineering, 2007.
    6. L.Beilina, M.V.Klibanov, Global convergence for Inverse Problems, Proceedings of ICNAAM2010, AIP (American Institute of Physics) Conference Proceedings , 2010.
    7. L.Beilina, Adaptive Finite Element Method for an electromagnetic coefficient inverse problem, Proceedings of ICNAAM2010, AIP (American Institute of Physics) Conference Proceedings, 2010.
    8. L.Beilina, Hybrid Discontinuous Finite Element/Finite Difference Method for Maxwell equations, Proceedings of ICNAAM2010, AIP (American Institute of Physics) Conference Proceedings, 2010.


    Preprints (available online at   www.math.chalmers.se)

     

    Conference presentations (invited speaker)

     

  • Presentation at University Paris 6 at d'Alembert general seminar in Paris, France, 10th February 2011.
  • Presentation at Mathematical Department in Basel University, November 2010.
  • Presentation at CAM seminar, Chalmers University of Technology, Sweden, November 2010.
  • Presentation at AGMP2010, Sweden, November 2010.
  • 8th International Conference of Numerical Analysis and Applied Mathematics ICNAAM2010, Rhodes, Greece, 2010.
  • Conference on Inverse Problems, organized by University Cergy-Pontoise, France, October 2009.
  • Conference Control and Inverse Problems in PDE : Theoretical and numerical aspects, organized by The International Center for Mathematical Meetings, Marseille, France, February 2009.
  • Special Semester on Computational Methods for Inverse Problems - Theory and Practice, Johan Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, April 2009.
  • Conference on Applied Inverse Problems, University of Vienna, organized by Johan Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, July 2009. Invited speaker at the mini-simposium on Carleman estimates: theory and numerical methods for inverse problems.
  • Special Semester on Quantitative Biology Analyzed by Mathematical Methods, at Johan Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, 2007.
  • European Community on Computational Methods in Applied Sciences (ECCOMAS): thematic conference COMPDYN 2007 Computational methods in Structural Dynamic and Earthquake Engineering, 13-16 June 2007, Rethymno, Crete, Greece. I was invited speaker on the minisimposium "Computational Methods for Inverse Scattering".
  • IEEE ISBI2007 (International Symposium on Biomedical Imaging), April 12-15, 2007, Metro Washington, D.C.,USA. I was invited on the special session Adaptive mesh renment techniques in biomedical imaging.
  • MAGIC (Manifolds and Geometric Integration Colloquia), Atnasjon, Norway, 2007.
  • The Second International Conference on Inverse Problems, Turkey, Fethiye, 2004.
  • The First International Conference on Inverse Problems, Fethiye, Turkey, 2002.
  • Workshop on Optimization in Heidelberg, University of Heidelberg, Germany, 2002.
  • International Conference on Finite Element Methods: three dimensional problems, University of Jyväskylä, Finland, 2001.
  • ENUMATH 2001 (European Conference on Numerical Mathematics and Advanced Applications), Ischia, Italy, 2001.
  • Nordic computational differential equations circus, Tampere University, Finland, 2001.
  • The Finite Element Center day at Chalmers, Chalmers University, Göteborg, Sweden, 2001.
  • Nordic computational differential equations circus, Bergen University, Bergen, Norway, 2000.
  •  

    Administrative activities

     

  • Member of the international organizing commetee on the conference Inverse Problems: Modeling and Simulation, Antalya, Turkey, 2010.
  • Organizer of the minisymposium "Recent advances in numerical methods for inverse problems resolution" on the 8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM2010), Rhodes, Greece, 2010.
  • Reviewer in J. Inverse problems, Inverse Problems in Science and Engineering, International Journal of Non-Linear Mechanics, Elsevier, Reviewer of the book "Introduction to Iterative Methods for Ill-Posed Problems" by Anatoly Bakushinsky, Mikhail Kokurin, Alexandra Smirnova, de Gruyter, 2010, and Handbook of Mathematical Methods in Imaging , Springer, 2010.
  •  

    Experience from the supervision of students

     

  • 2002/2003      Scientic Advisor of Mrs. O.Simdyankina at the Masters Program NADA, KTH, Stockholm, Sweden. O.Simdjankina has received her M.Sc.
    in Scientic Computing in 2003. The  title of the thesis  "Adaptive FEM for an inverse scattering problem with Dirichlet boundary conditions".
  • Since 2007 I am advising PhD student Marte Hatlo Andresen at NTNU,  Trondheim, Norway.
  • Since Mars 2010 I am advising PhD student Azba Riaz from Department of Mathematics, University Cergy-Pontoise, Paris, France on the topic Adaptive Hybrid Interior Penalty Discontinuous Galerkin FEM/FDM methods for solutions of Maxwell equations.
  • Since January 2011  I  am advising  PhD student  Nikolay  Koshev, Penza State University  of Architecture and Building, Russia.   Nikolay  Koshev is participant of the Project within the Visby program.
  •  

    Awards

  •  Grant from donation funds at University of Gothenburg  supporting teachers research and travel with scientific purpose, Gothenburg, Sweden, 2018 (1 000 euro).
  • Mobility grant supported by the Faculty of Sciences  University Paris-Sud, France, 2018 (1620 euro). 
  • Laureate of the FRÖ program,   French Institute in Sweden,  2018, France (750  euro).
  • Grant from University of Gothenburg ``Sabbatical Programme for researchers and teaching staff  at the Faculty of Science, GU'', (400 000  SEK), 2015.
  • Project grant   from the Area of Advance of Nanoscience and Nanotehnology (AoA Nano) at Chalmers  (together with P. Tassin,  Department of Applied Physics at Chalmers University of Technology),  (450 000 SEK), 2015-2016.
  • Project grant,  the Swedish Research Council (VR), Sweden (328 000 EUR ), 2012-2015.
  • Project ``Adaptive finite element methods for solutions of inverse problems'', Project grant, the Swedish
  • Institute, Visby Program, (132 000 EUR), 2010-2013.
  • Career break

    1996-1997, 2005-2006  Maternity leave