Curriculum Vitae




Research Interests

My research activities lie in fields of Asymptotic Analysis for Partial Differential Equations, Homogenization Theory for Composite Materials, Multiscale Analysis and Computation, and Nonlinear Solid Mechanics

Employment / Education
 
University of Houston   2015-current
            Associate Professor
University of Houston   2009-2015
            Assistant Professor
Texas A&M University   2006-2009
            Visiting Assistant Professor
The Pennsylvania State University   August 2006
            Ph.D. in Mathematics
Kharkiv National University, Ukraine   June 1996
            Bachelor (Specialist) Degree in Applied Mathematics

Grants
  • NSF, DMS-1350248, ''CAREER: Multiscale Modeling, Analysis and Simulation for High-Contrast Media'', PI, 2014-2019, $420,001.00
  • NSF, DMS-1016531, ''Multiscale Simulations for Heterogeneous Particulate Flows'', PI, 2010-2014, $297,587.00
  • NSF, DMS-0811180, ''Iterative Upscaling of Fluid Flows in Nonlinear Deformable Porous Media'', Co-PI (with PI Y. Efendiev and Co-PIs P. Popov, D. Lagoudas), 2007-2010, $154,505.00
  • Association for Women in Mathematics Travel Grant, Fall 2008, $2,000.00

Publications
  • "Singularities of Hydrodynamic Forces Acting on Particles in the Near-Contact Regime", Journal of Computational and Applied Mathematics, accepted, April 2016 (DOI: 10.1016/j.cam.2016.04.015)
  • "Singular Behavior of Electric Field of High Contrast Concentrated Composites", SIAM Multiscale Modeling and Simulations, Vol 13, No 4, 2015, pp. 1312-1326.
  • "Asymptotic Approximation of the Dirichlet to Neumann Map of High Contrast Conductive Media", (with L. Borcea, Y. Wang), SIAM Multiscale Modeling and Simulations, Vol 12, No 4, 2014, pp. 1494-1532
  • "Homogenization for Rigid Suspensions with Random Velocity-Dependent Interfacial Forces", (with R. F. Maris, B. Vernescu), Journal of Mathematical Analysis and Applications, Vol 420, No 1, 2014, pp. 632-668
  • "Finite Element Simulation of Three-dimensional Particulate Flows Using Mixture Models", (with O. Mierka, L. Rivkind, D. Kuzmin), Journal of Computational and Applied Mathematics, Vol 270, 2014, pp. 443-450
  • "Blow-up of Solutions to a p-Laplace Equation", (with A. Novikov), SIAM Multiscale Modeling and Simulations, Vol 10, No 3, 2012, pp. 727-743
  • "A Flux-Corrected Transport Algorithm for Handling the Close-Packing Limit in Dense Suspensions", (with D. Kuzmin), Journal of Computational and Applied Mathematics, Vol 236, No 18, 2012, pp. 4944-4951
  • "Multiscale Finite Element Methods for Fluid-Structure Interaction Problems", (with P. Popov, Y. Efendiev), accepted at Computer Methods in Applied Mechanics and Engineering, 41 pages
  • "Numerical Simulations of Diffusion in Cellular Flows at High Peclet Numbers", (with D. Nam, A. Novikov), Discrete and Continuous Dynamical Systems - B, Vol 15, No 1, 2011, pp. 75-92
  • "Dependence of the Vibrational Frequency Spectrum of a Nonlinear, Inhomogeneous Residually Stressed Elastic Body on Residual Stress", (with J. R. Walton), International Journal of Engineering Science, Vol 48, 2010, pp. 1289-1312
  • "Multiscale Modeling and Simulation of Fluid Flows in Highly Deformable Porous Media", (with P. Popov, Y. Efendiev), Lecture Notes in Computer Science, Vol 5910, 2010, pp. 148-156
  • "A Boundary Integral Method for a Dynamic, Transient Mode I Crack Problem with Viscoelastic Cohesive Zone", (with T. L. Leise, J. R. Walton), International Journal of Fracture, Vol 5162, No 1-2, 2010, pp. 69-76
  • "Fictitious Fluid Approach and Anomalous Blow-up of the Dissipation Rate in a 2D Model of Concentrated Suspensions", (with L. Berlyand, A. Novikov), Archive for Rational Mechanics and Analysis, Vol 193, No 3, 2009, pp. 585-622
  • "Reconsidering the Boundary Conditions for a Dynamic, Transient, Mode I Crack Problem", (with T. L. Leise, J. R. Walton), Journal of Mechanics of Materials and Structures, Vol 3, No 9, 2008, pp. 1797-1807
  • "Dynamic, Transient Mode I Crack Propagation with a Nonlinear Viscoelastic Cohesive Zone", (with T. L. Leise, J. R. Walton), Proceedings of the 6th International Conference on Mechanics of Time-Dependent Materials, (R. B. Hall, H. Lu, H. J. Qi, eds.), Curran Associates, 57 Morehouse Lane, Red Hook, NY 12571, 2008, pp. 265-268
  • "Asymptotic Analysis of an Array of Closely Spaced Absolutely Conductive Inclusions", (with L. Berlyand, G. Cardone, G. Panasenko), Networks and Heterogeneous Media, Vol 1, No 3, 2006, pp. 353-377
  • "Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions", (with L. Berlyand, A. Novikov), Lecture Notes in Computational Science and Engineering, (B. Engquist, P. Lotstedt, O. Runborg, eds.) Vol 44, 2005, pp. 21-58
  • "Asymptotics of the Effective Conductivity of Composites with Closely Spaced Inclusions of Optimal Shape", (with L. Berlyand), The Quarterly Journal of Mechanics and Applied Mathematics , Vol 58, 2005, pp. 83-106
  • "The Effective Conductivity of Densely Packed High Contrast Composites with Inclusions of Optimal Shape", (with L. Berlyand), Continuum Models and Discrete Systems, (D. Bergman et. al. eds.) Vol 158, 2004, pp. 63-74
Minisymposium/Workshop Organization
  • Minisymposium Organizer, ''Mesoscale and Nonlocal Models of Materials with Microstructure'', 2014 SIAM Annual Meeting, Chicago, IL, July 2014
  • Minisymposium Organizer, ''Asymptotic Methods for Heterogeneous Media'', SIAM Conference on Analysis for PDEs, Orlando, FL, December 2013
  • Minisymposium Organizer, ''Multiscale Modeling, Microstructure, and Local Field Properties of Heterogeneous Media'', SIAM Conference on Mathematical Aspects of Materials Science, Philadelphia, PA, June 2013
  • Minisymposium Organizer, ''Homogenization and Model Reduction Methods for Multiscale Phenomena'', 2012 SIAM Annual Meeting, Minneapolis, MN, July 2012
  • International Workshop ''Modeling and Simulation of Transport Phenomena'' Organizer (with D. Kuzmin, C. Basting, University of Erlangen-Nuremberg, and P. Solin, University of Nevada, Reno), The Moselle Valley, Germany, July-August 2012
  • Minisymposium Organizer, ''Asymptotic Methods for Heterogeneous Media'', SIAM Conference on Analysis for PDEs, San Diego, CA, November 2011
  • Session Organizer, ''Multiscale Modeling in Biological Problems'' at 45th Annual Technical Meeting Society of Engineering Science, University of Illinois, Urbana Champaign, IL, October 2008
  • Session Organizer, ''Mathematical and Computational Aspects of Multi-scale and Multi-physics Modeling'' at 44th Annual Technical Meeting Society of Engineering Science, Texas A&M University, College Station, TX, October, 2007
Reviewing
  • Grant Reviewer for the Research Council of Norway (2011)
  • NSF Panelist (2008, 2009, 2011)

Refereeing for
  • Computing, Applicable Analysis: An International Journal, The IMA Journal of Applied Mathematics, Physics Letters A, SIAM Journal on Mathematical Analysis, SIAM Multiscale Modeling and Simulation, Proceedings of Royal Society A, Networks and Heterogeneous Media



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