A Multigrid Algorithm for the Artificial Compressibility Formulation of the 3D Navier-Stokes Equations. - Dimitris Drikakis; Oleg Iliev 001; Daniela Vassileva (LSSC, 1997)

On Numerical Solution of 3D Elliptic Problems with Highly Varying Coefficients. - Oleg Iliev 001 (LSSC, 1997)

A 2nd Order Discretization of Imperfect Contact Problems with Piece-Wise Constant Coefficients on Cell-Centred Grids. - Tatiana P. Chernogorova; Oleg Iliev 001 (LSSC, 1999)

A Numerical Study of the Efficiency of SIMPLE-Type Algorithms in Computing Incompressible Flows on Stretched Grids. - Oleg Iliev 001; M. Schäfer (LSSC, 1999)

On a Multigrid Solution of Some 3D Incompressible Flow Problems. - Dimitar Stoyanov; Oleg Iliev 001; P. Stankov (LSSC, 1999)

On Multigrid Methods for the Compressible Navier-Stokes Equations. - Dimitris Drikakis; Oleg Iliev 001; Daniela Vassileva (LSSC, 2001)

Multigrid - Adaptive Local Refinement Solver for Incompressible Flows. - Oleg Iliev 001; Dimitar Stoyanov (LSSC, 2001)

A Modified Finite Volume Approximation of Second-Order Elliptic Equations with Discontinuous Coefficients. - Richard E. Ewing; Oleg P. Iliev; Raytcho D. Lazarov (SIAM J. Sci. Comput., 2001)

On a Multigrid Adaptive Refinement Solver for Saturated Non-Newtonian Flow in Porous Media. - Willy Dörfler; Oleg Iliev 001; Dimitar Stoyanov; Daniela Vassileva (Numerical Methods and Application, 2002)

A Generalized (Meshfree) Finite Difference Discretization for Elliptic Interface Problems. - Oleg Iliev 001; Sudarshan Tiwari (Numerical Methods and Application, 2002)

Phase-Field Method for 2D Dendritic Growth. - Vladimir Slavov; Stefka Dimova; Oleg Iliev 001 (LSSC, 2003)

On a Local Refinement Solver for Coupled Flow in Plain and Porous Media. - Oleg Iliev 001; Daniela Vasileva (Numerical Methods and Applications, 2006)

On Upscaling Certain Flows in Deformable Porous Media. - Oleg Iliev 001; Andro Mikelic; Peter Popov (Multiscale Model. Simul., 2008)

Discontinuous Galerkin Subgrid Finite Element Method for Heterogeneous Brinkman's Equations. - Oleg P. Iliev; Raytcho D. Lazarov; Joerg Willems (LSSC, 2009)

A Simplified Method for Upscaling Composite Materials with High Contrast of the Conductivity. - Richard E. Ewing; Oleg Iliev 001; Raytcho D. Lazarov; Irina Rybak; Joerg Willems (SIAM J. Sci. Comput., 2009)

Modeling of Species and Charge Transport in Li-Ion Batteries Based on Non-equilibrium Thermodynamics. - Arnulf Latz; Jochen Zausch; Oleg Iliev 001 (NMA, 2010)

Finite Volume Discretization of Equations Describing Nonlinear Diffusion in Li-Ion Batteries. - Peter Popov; Yavor Vutov; Svetozar Margenov; Oleg Iliev 001 (NMA, 2010)

Fast numerical upscaling of heat equation for fibrous materials. - Oleg Iliev 001; Raytcho D. Lazarov; Joerg Willems (Comput. Vis. Sci., 2010)

On efficient simulation of non-Newtonian flow in saturated porous media with a multigrid adaptive refinement solver. - Oleg Iliev 001; Daniela Vassileva; Dimitar Stoyanov; Willy Dörfler (Comput. Vis. Sci., 2010)

Variational Multiscale Finite Element Method for Flows in Highly Porous Media. - Oleg P. Iliev; Raytcho D. Lazarov; Joerg Willems (Multiscale Model. Simul., 2011)

On a numerical subgrid upscaling algorithm for Stokes-Brinkman equations. - Oleg Iliev 001; Zahra Lakdawala; Vadimas Starikovicius (Comput. Math. Appl., 2013)

EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications. - Peter Bastian; Christian Engwer; Dominik Göddeke; Oleg Iliev 001; Olaf Ippisch; Mario Ohlberger; Stefan Turek; Jorrit Fahlke; Sven Kaulmann; Steffen Müthing; Dirk Ribbrock (Euro-Par Workshops (2), 2014)

A Note on Local Refinement for Direction Splitting Methods. - T. Gornak; Oleg Iliev 001; Peter D. Minev (NMA, 2014)

A fast algorithm for 3D simulation of thermal stratification in containment pools of nuclear power plants. - T. Gornak; Oleg Iliev 001; Peter D. Minev; A. Zemitis (Comput. Math. Appl., 2014)

On a multiscale approach for filter efficiency simulations. - Oleg Iliev 001; Zahra Lakdawala; Galina Printsypar (Comput. Math. Appl., 2014)

On Computer Simulation of Fluid-Porous Structure Interaction Problems for a Class of Filtration Problems. - Oleg Iliev 001; Dimitar Iliev; Ralf Kirsch (LSSC, 2015)

Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo. - Jan Mohring; René Milk; Adrian Ngo; Ole Klein; Oleg Iliev 001; Mario Ohlberger; Peter Bastian (LSSC, 2015)

Numerical Methods for Scientific Computations and Advanced Applications. - Krassimir Georgiev; Oleg Iliev 001; Peter D. Minev (Comput. Math. Appl., 2015)

On pore-scale modeling and simulation of reactive transport in 3D geometries. - Oleg Iliev 001; Zahra Lakdawala; Katherine H. L. Leonard; Yavor Vutov (CoRR, 2015)

Hardware-Based Efficiency Advances in the EXA-DUNE Project. - Peter Bastian; Christian Engwer; Jorrit Fahlke; Markus Geveler; Dominik Göddeke; Oleg P. Iliev; Olaf Ippisch; René Milk; Jan Mohring; Steffen Müthing; Mario Ohlberger; Dirk Ribbrock; et al. (Software for Exascale Computing, 2016)

Advances Concerning Multiscale Methods and Uncertainty Quantification in EXA-DUNE. - Peter Bastian; Christian Engwer; Jorrit Fahlke; Markus Geveler; Dominik Göddeke; Oleg P. Iliev; Olaf Ippisch; René Milk; Jan Mohring; Steffen Müthing; Mario Ohlberger; Dirk Ribbrock; et al. (Software for Exascale Computing, 2016)

Renormalization Based MLMC Method for Scalar Elliptic SPDE. - Oleg Iliev 001; Jan Mohring; Nikolay Shegunov (LSSC, 2017)

Numerical simulation of oxidation processes in a cross-flow around tube bundles. - Alexander G. Churbanov; Oleg Iliev 001; Valery F. Strizhov; Petr N. Vabishchevich (CoRR, 2017)

On the Pore-Scale Modeling and simulation of Reactive transport in 3D geometries. - Oleg Iliev 001; Zahra Lakdawala; Katherine H. L. Neßler; Torben Prill; Yavor Vutov; Yongfei Yang; Jun Yao (Math. Model. Anal., 2017)

Cell-element simulations to optimize the performance of osmotic processes in porous membranes. - Victor M. Calo; Oleg Iliev 001; Suzana P. Nunes; Galina Printsypar; Meixia Shi (Comput. Math. Appl., 2018)

Domain decomposition preconditioners for multiscale problems in linear elasticity. - Marco Buck; Oleg Iliev 001; Heiko Andrä (Numer. Linear Algebra Appl., 2018)

Computational Identification of Adsorption and Desorption Parameters for Pore Scale Transport in Random Porous Media. - Vasiliy V. Grigoriev; Oleg Iliev 001; Petr N. Vabishchevich (LSSC, 2019)

Parallel Multilevel Monte Carlo Algorithms for Elliptic PDEs with Random Coefficients. - Petr Zakharov; Oleg Iliev 001; Jan Mohring; Nikolay Shegunov (LSSC, 2019)

Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. - Peter Bastian; Mirco Altenbernd; Nils-Arne Dreier; Christian Engwer; Jorrit Fahlke; René Fritze; Markus Geveler; Dominik Göddeke; Oleg Iliev 001; Olaf Ippisch; Jan Mohring; Steffen Müthing; et al. (CoRR, 2019)

MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction. - Julian Feinauer; Simon Hein; Stephan Rave; Sebastian Schmidt; Daniel Westhoff; Jochen Zausch; Oleg Iliev 001; Arnulf Latz; Mario Ohlberger; Volker Schmidt (J. Comput. Sci., 2019)

Modified Bee Colony optimization algorithm for computational parameter identification for pore scale transport in periodic porous media. - Vasiliy V. Grigoriev; Oleg Iliev 001; Petr N. Vabishchevich (CoRR, 2020)

Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media. - Vasiliy V. Grigoriev; Oleg Iliev 001; Petr N. Vabishchevich (J. Comput. Appl. Math., 2020)

Exa-Dune - Flexible PDE Solvers, Numerical Methods and Applications. - Peter Bastian; Mirco Altenbernd; Nils-Arne Dreier; Christian Engwer; Jorrit Fahlke; René Fritze; Markus Geveler; Dominik Göddeke; Oleg Iliev 001; Olaf Ippisch; Jan Mohring; Steffen Müthing; et al. (Software for Exascale Computing, 2020)

Deep Neural Networks and Adaptive Quadrature for Solving Variational Problems. - Daria Fokina; Oleg Iliev 001; Ivan V. Oseledets (LSSC, 2021)

A Full Order, Reduced Order and Machine Learning Model Pipeline for Efficient Prediction of Reactive Flows. - Pavel Gavrilenko; Bernard Haasdonk; Oleg Iliev 001; Mario Ohlberger; Felix Schindler; Pavel Toktaliev; Tizian Wenzel; Maha Youssef (LSSC, 2021)

On Parallel MLMC for Stationary Single Phase Flow Problem. - Oleg Iliev 001; Nikolay Shegunov; Petar Armyanov; Atanas Semerdzhiev; Ivan P. Christov (LSSC, 2021)

On Parameter Identification for Reaction-Dominated Pore-Scale Reactive Transport Using Modified Bee Colony Algorithm. - Vasiliy V. Grigoriev; Oleg Iliev 001; Petr N. Vabishchevich (Algorithms, 2022)

On a workflow for efficient computation of the permeability of tight sandstones. - Vladislav Pimanov; Vladislav Lukoshkin; Pavel Toktaliev; Oleg Iliev 001; Ekaterina A. Muravleva; Denis M. Orlov; Vladislav Krutko; Alexander Avdonin; Konrad Steiner; Dmitry A. Koroteev (CoRR, 2022)

On the Performance of Machine Learning Methods for Breakthrough Curve Prediction. - Daria Fokina; Oleg Iliev 001; Pavel Toktaliev; Ivan V. Oseledets; Felix Schindler (CoRR, 2022)

Machine Learning Algorithms for Parameter Identification for Reactive Flow in Porous Media. - Daria Fokina; Vasiliy V. Grigoriev; Oleg Iliev 001; Ivan V. Oseledets (LSSC, 2023)

Machine learning methods for prediction of breakthrough curves in reactive porous media. - Daria Fokina; Pavel Toktaliev; Oleg Iliev 001; Ivan V. Oseledets (CoRR, 2023)

On the structure of the Schur complement matrix for the Stokes equation. - Vladislav Pimanov; Ekaterina A. Muravleva; Ivan V. Oseledets; Oleg Iliev 001 (CoRR, 2023)

Learning from Linear Algebra: A Graph Neural Network Approach to Preconditioner Design for Conjugate Gradient Solvers. - Vladislav Trifonov; Alexander Rudikov; Oleg Iliev 001; Ivan V. Oseledets; Ekaterina A. Muravleva (CoRR, 2024)

Greedy Kernel Methods for Approximating Breakthrough Curves for Reactive Flow from 3D Porous Geometry Data. - Robin Herkert; Patrick Buchfink; Tizian Wenzel; Bernard Haasdonk; Pavel Toktaliev; Oleg Iliev 001 (CoRR, 2024)

ConDiff: A Challenging Dataset for Neural Solvers of Partial Differential Equations. - Vladislav Trifonov; Alexander Rudikov; Oleg Iliev 001; Ivan V. Oseledets; Ekaterina A. Muravleva (CoRR, 2024)

On the efficient preconditioning of the Stokes equations in tight geometries. - Vladislav Pimanov; Oleg Iliev 001; Ivan V. Oseledets; Ekaterina A. Muravleva (Numer. Linear Algebra Appl., 2024)

In Memoriam of Raytcho Lazarov. - Oleg P. Iliev; Svetozar Margenov (Comput. Methods Appl. Math., 2025)