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Prof. Oleg Iliev

Associate Director, Numerical Porous Media SRI Center  (NumPor)
Visiting Professor, Computer, Electrical and Mathematical Sciences and Engineering (CEMSE)

Research Interests

  • Numerical methods for partial differential equations (PDEs) and for integro-differential equations (finite volume and finite difference discretization, discretizations for interface problems, meshfree methods, etc.) 
  • Numerical linear algebra (Krylov subspace methods, multigrid, multigrid with adaptive local refinement, domain decomposition, upscaling based preconditioners, parallel algorithms, etc.)
  • Computational Fluid Dynamics (CFD) (space and time discretization and iterative algorithms, as well as numerical simulations for Newtonian flows, for non-Newtonian polymer flows, for granular flows, etc.) 
  • Mathematical modelling and numerical simulation of industrial, biomedical, and environmental processes (solidification of metals and alloys, single phase and two-phase flow in rigid porous media, contamination transport in porous media, flow in deformable porous media, soil consolidation, bone tissue, non-Newtonian flow in porous media, filtration processes, processes in insulation materials, processes in fuell cells, in battery, liquid polymer moulding, oil recovery, groundwater management, viscoelasticity, poroelasticity, etc.) 
  • Modelling and simulation of multiscale and multiphysics processes (upscaling for flow in rigid and deformable porous media, eff ective properties of composite materials, coupling microscale and macroscale filtration simulations, interaction of flow with deformable porous media, etc.)

Topics of Projects Done for the Industry

  • Modeling and simulation of filtration processes (mainly solid-liquid separation), including cake and depth ltration, accounting for particles deposition, filtration eficiency simulation, optimal design of filter elements, etc.).
  • Developing software for simulating flow and particle deposition in various fi lter elements.
  • Modeling and simulation of processes in fuel cells at microscale and at cell level.
  • Modeling and simulation of Li-ion batteries at microscale (porous electrode) and at mesoscale.
  • Modelling and simulation of processes in diapers, including the role of the superabsorbent polymers (SAP).
  • CFD study of mixing processes in chemical reactors.
  • Modelling and simulation of glass fi ber formation.
  • Simulation of two-phase immissible flows in connection with micro fluidic devices.
  • Computing eff ective properties of insulation materials based on their microstructure.
  • Eficient solvers for simulation of flows of solidifying metals and of polymer flows.
  • Solvers for models appearing in modeling financial markets.

Selected Publications

  • M. Buck, O. Iliev, H. Andrä: Multiscale finite element coarse spaces for the analysis of linear elastic composites, Technical report of Faunhofer ITWM (2012)
  • O. Iliev, G. Printsypar, S. Rief: A two-dimensional model of the pressing section of a paper machine including dynamic capillary effects, Technical report of Faunhofer ITWM (2012)
  • O. Iliev, R. Kirsch, M. Kabel, Z. Lakdawala, V. Starikovicius, M. Dedering: CAE für das Design von Filterelementen. In: Die Integration von Strömungsberechnungen (CFD) in den Produktentwicklungsprozess, NAFEMS (2011)
  • O. Iliev, G. Printsypar and S. Rief: On Mathematical Modeling and Simulation of the Pressing Section of a Paper Machine Including Dynamic Capillary Effects: One-Dimensional Model, TRANSPORT IN POROUS MEDIA, Volume 92, Number 1, 41-59, DOI: 10.1007/s11242-011-9890-y (2012)
  • O. Iliev, R. Lazarov, J. Willems: Variational Multiscale Finite Element Method for Flows in Highly Porous Media SIAM J. on Multiscale Model. Simul., 9 (4):1350-1372, (2011)
  • V. Starikovicius, R. Ciegis, O. Iliev: A parallel solver for the design of oil fi lters Math. Modeling and Analysis, 16, No.2, pp.326-341 (2011) 
  • R. Ewing, O. Iliev, R. Lazarov, I. Rybak, J. Willems: An eficient approach for upscaling properties of composite materials with high contrast of coeficients; SIAM J. Sci. Comput., 31(4) (2009)
  • W. Doerfler, O. Iliev, D. Stoyanov, D. Vassileva: On eficient simulation of non-Newtonian flow in saturated porous media with a multigrid adaptive refi nement solver; Computers and Visualization in Science, 13, No.1, (2010)
  • O. Iliev, A. Mikelic, P. Popov: On upscaling certain flows in deformable porous media; SIAM J. on Multiscale Modeling and Simulation 7, No. 1, 93-123 (2008)

Education Profile

  • 1987, Ph. D. in Mathematics and Physics, The Moscow State University, Russia
  • 1981, MSc in Computational Mathematics, The Moscow State University, Russia

Professional Profile

  • 2011 - present, APL Professor Faculty of Mathematics, Technical University of Kaiserslautern, Germany
  • 2008 - present, Adjunct Professor Dept. of Mathematics, Texas A&M University, College Station, Texas, USA
  • 2003 - 2011, Privat Dozent Faculty of Mathematics, Technical University of Kaiserslautern, Germany
  • 1998 - present, Senior Scientist Fraunhofer Inst. for Industrial Mathematics (ITWM), Kaiserslautern, Germany
  • 1995 - 1996, Research Associate LSTM, Univ. Erlangen-Nurnberg, Germany
  • 1993 - present, Associate professor Inst. of Mathematics, Bulgarian Academy of Science
  • 1987 - 1993, Assistant professor Inst. of Mathematics, Bulgarian Academy of Science
  • 1986, Postgraduate student Joint Inst. for Nuclear Research, Dubna, Russia
  • 1983 -1987, Postgraduate student The Moscow State University, Moscow, Russia
  • 1981 - 1983, Mathematician Inst. of Mathematics, Bulgarian Academy of Science

Scientific and Professional Memberships

  • International Society for Porous Media, Interpore (Acting President of the Society)
  • SIAM
  • Union of Bulgarian Mathematicians;
  • The Bulgarian Association for Computational Mechanics