Numerical simulation of convection/diffusion phase change problems—a review AA Samarskii, PN Vabishchevich, OP Iliev, AG Churbanov International journal of heat and mass transfer 36 (17), 4095-4106, 1993 | 132 | 1993 |

A nonlinear multigrid method for the three-dimensional incompressible Navier–Stokes equations D Drikakis, OP Iliev, DP Vassileva Journal of Computational Physics 146 (1), 301-321, 1998 | 83 | 1998 |

On numerical simulation of flow through oil filters O Iliev, V Laptev Computing and Visualization in Science 6 (2-3), 139-146, 2004 | 77 | 2004 |

A modified finite volume approximation of second-order elliptic equations with discontinuous coefficients R Ewing, O Iliev, R Lazarov SIAM Journal on Scientific Computing 23 (4), 1335-1351, 2001 | 53 | 2001 |

Modeling of species and charge transport in li–ion batteries based on non-equilibrium thermodynamics A Latz, J Zausch, O Iliev International Conference on Numerical Methods and Applications, 329-337, 2010 | 44 | 2010 |

Variational multiscale finite element method for flows in highly porous media O Iliev, R Lazarov, J Willems Multiscale Modeling & Simulation 9 (4), 1350-1372, 2011 | 43 | 2011 |

On upscaling certain flows in deformable porous media O Iliev, A Mikelić, P Popov Multiscale Modeling & Simulation 7 (1), 93-123, 2008 | 37 | 2008 |

On parallel numerical algorithms for simulating industrial filtration problems R Čiegis, O Iliev, Z Lakdawala Computational Methods in Applied Mathematics Comput. Methods Appl. Math. 7 …, 2007 | 37 | 2007 |

Multilevel Monte Carlo methods using ensemble level mixed MsFEM for two-phase flow and transport simulations Y Efendiev, O Iliev, C Kronsbein Computational Geosciences 17 (5), 833-850, 2013 | 26 | 2013 |

Multiscale finite element coarse spaces for the application to linear elasticity M Buck, O Iliev, H Andrä Open Mathematics 11 (4), 680-701, 2013 | 25 | 2013 |

Finite volume discretization of equations describing nonlinear diffusion in li-ion batteries P Popov, Y Vutov, S Margenov, O Iliev International Conference on Numerical Methods and Applications, 338-346, 2010 | 25 | 2010 |

A simplified method for upscaling composite materials with high contrast of the conductivity R Ewing, O Iliev, R Lazarov, I Rybak, J Willems SIAM journal on scientific computing 31 (4), 2568-2586, 2009 | 23 | 2009 |

On numerical simulations of viscoelastic fluids. D Niedziela | 19 | 2006 |

EXA-DUNE: Flexible PDE solvers, numerical methods and applications P Bastian, C Engwer, D Göddeke, O Iliev, O Ippisch, M Ohlberger, S Turek, ... European Conference on Parallel Processing, 530-541, 2014 | 18 | 2014 |

A generalized (meshfree) finite difference discretization for elliptic interface problems O Iliev, S Tiwari International Conference on Numerical Methods and Applications, 488-497, 2002 | 18 | 2002 |

On a numerical subgrid upscaling algorithm for Stokes–Brinkman equations O Iliev, Z Lakdawala, V Starikovicius Computers & Mathematics with Applications 65 (3), 435-448, 2013 | 15 | 2013 |

A parallel solver for the design of oil filters V Starikovičius, R Čiegis, O Iliev Mathematical Modelling and Analysis 16 (2), 326-341, 2011 | 15 | 2011 |

Numerical simulation of contamination transport due to flow in liquid and porous media RE Ewing, OP Iliev, RD Lazarov Technical Report 1992-10, Enhanced Oil Recovery Institute, University of Wyoming, 1992 | 15 | 1992 |

Fast numerical upscaling of heat equation for fibrous materials O Iliev, R Lazarov, J Willems Computing and visualization in science 13 (6), 275-285, 2010 | 14 | 2010 |

Acceleration of multigrid flow computations through dynamic adaptation of the smoothing procedure D Drikakis, OP Iliev, DP Vassileva Journal of Computational Physics 165 (2), 566-591, 2000 | 14 | 2000 |