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 | 140 | 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 | 85 | 1998 |

On numerical simulation of flow through oil filters O Iliev, V Laptev Computing and Visualization in Science 6 (2-3), 139-146, 2004 | 78 | 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 | 55 | 2001 |

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 | 45 | 2011 |

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 | 45 | 2010 |

On upscaling certain flows in deformable porous media O Iliev, A Mikelić, P Popov Multiscale Modeling & Simulation 7 (1), 93-123, 2008 | 39 | 2008 |

On parallel numerical algorithms for simulating industrial filtration problems R Čiegis, O Iliev, Z Lakdawala Computational Methods in Applied Mathematics 7 (2), 118-134, 2007 | 36 | 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 | 27 | 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 | 26 | 2013 |

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 | 26 | 2009 |

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 |

Exa-Dune—Flexible PDE Solvers, Numerical Methods and Applications P Bastian, M Altenbernd, NA Dreier, C Engwer, J Fahlke, R Fritze, ... Software for Exascale Computing-SPPEXA 2016-2019, 225-269, 2020 | 23 | 2020 |

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

A generalized (meshfree) finite difference discretization for elliptic interface problems O Iliev, S Tiwari International Conference on Numerical Methods and Applications, 488-497, 2002 | 19 | 2002 |

Hardware-based efficiency advances in the EXA-DUNE project P Bastian, C Engwer, J Fahlke, M Geveler, D Göddeke, O Iliev, O Ippisch, ... Software for Exascale Computing-SPPEXA 2013-2015, 3-23, 2016 | 17 | 2016 |

On the pore-scale modeling and simulation of reactive transport in 3D geometries O Iliev, Z Lakdawala, KHL Neßler, T Prill, Y Vutov, Y Yang, J Yao Mathematical Modelling and Analysis 22 (5), 671-694, 2017 | 15 | 2017 |

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 |

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 | 15 | 2010 |