Contact
Pfaffenwaldring 57
70569 Stuttgart
Deutschland
Room: 7.127
Office Hours
Wednesday, 11:30 - 12:30
Subject
Averaging theories and multiscale methods (homogenization, volume averaging, termodynamically constrained averaging theory, numerical upscaling, computation of effective properties)
Mathematical modelling (coupling free-flow and porous-medium systems, modelling flow and transport processes in porous media, porous-medium models with fluid-fluid interfacial area, sediment transport, mixed-dimensional models for fractured porous media)
Efficient numerical algorithms for multiphysics problems (domain decomposition, time splitting, multigrid, preconditioners, Newton-Krylov-methods, stability analysis, a priori error estimates)
Model validation and calibration (data-driven homogenisation based on neural networks, sensitivity analysis, model reduction, pore-scale modelling)
| Jan. 2016 |
Habilitation in Mathematics (University of Stuttgart, Germany) |
| Nov. 2001 -- Nov. 2004 |
PhD in Physics and Mathematics (Institute of Mathematics, National Academy of Sciences of Belarus) |
| Sep. 1996 -- Jun. 2001 | MSc in Applied Mathematics (Belarusian State University) |
| Apr. 2000 -- Jun. 2001 | MSc in Economical Cybernetics (Belarusian State University) |
| 2022-2025 | Principal investigator in ANR-DFG Project FLUPOR: "Generalised Interface Conditions for Multi-Dimensional Inertial Flows in Fluid-Porous Systems" with Philippe Angot, Aix-Marseille Université (1 postdoc position for 24 months, 2 PhD positions for 36 months) |
| 2022-2025 | Principal investigator in Collaborative Research Centre (SFB) 1313 "Interface-Driven Multi-Field Processes in Porous Media – Flow, Transport and Deformation'' (Phase 2), German Research Foundation (DFG), Project A03 "Development of interface concepts using averaging techniques" (1 PhD position for 48 months) |
| 2018-2021 | Principal investigator in Collaborative Research Centre (SFB) 1313 "Interface-Driven Multi-Field Processes in Porous Media – Flow, Transport and Deformation'', German Research Foundation (DFG), Project A03 "Development of interface concepts using averaging techniques" |
| 2016-2017 | Eigene Stelle, ``Mathematische Modellierung und Numerik von Übergangsbereichen zwischen porösen Medien und freien Strömungen'', DFG Projekt, RY 126/2-2 |
| 2012-2015 | Eigene Stelle, ``Mathematische Modellierung und Numerik von Übergangsbereichen zwischen porösen Medien und freien Strömungen'', DFG Projekt, RY 126/2-1 |
| 2007-2009 | Project participant, ``Development of multilevel algorithms for simulation of fluid flows in porous media'', Belarusian Republican Foundation for Fundamental Research, F07MS-054 |
| 2004-2007 | Project participant, ``Hydrogeological and geo-environmental simulations: a contribution to the algorithms and advanced applications'', INTAS-03-50-4395 |
| 2004-2006 | Principal investigator, ``Development of monotone and conservative difference schemes for problems of mathematical physics with mixed derivatives'', Belarusian Republican Foundation for Fundamental Research, F04M-136 |
- Advances in Computational Mathematics
- Advances in Water Resources (Certificate of Excellence in Reviewing, 2013)
- Applied Mathematics and Computation
- Applied Mathematical Modelling
- Applied Numerical Mathematics
- Computational and Applied Mathematics
- Computational Geosciences
- Computers and Mathematics with Applications
- Computer Methods in Applied Mechanics and Engineering
- Geofluids
- IMA Journal of Numerical Analysis
- International Journal of Heat and Mass Transfer
- Journal of Computational and Applied Mathematics
- Journal of Computational Physics
- Journal of Hydraulic Research
- Journal of Hydrology
- Journal of Porous Media
- Journal of Scientific Computing
- Mathematics of Computation
- Mathematical Reviews
- Nonlinearity
- Numerical Methods for Partial Differential Equations
- SIAM Journal on Numerical Analysis
- Transport in Porous Media
- Water Resources Research
Postdoctoral Researchers:
Elissa Eggenweiler
Ph.D. Students:
Linheng Ruan
Paula Strohbeck
Joscha Nickl (Aix-Marseille-Université, France)
Master Students:
Sven Kahle
Maurice Wolf
PhD theses:
- P. Strohbeck: Development of interface concepts using averaging techniques
since November 2022 - J. Nickl: Generalised interface conditions for multi-dimensional inertial flows in fluid-porous systems: mathematical analysis and model validation (Aix-Marseille Universite, France), since October 2022
- L. Ruan: Generalised interface conditions for multi-dimensional inertial
flows in fluid-porous systems: mathematical modelling and numerical analysis, since May 2022 - E. Eggenweiler: Interface conditions for arbitrary flows in Stokes-Darcy systems: derivation, analysis and validation (defended 2022)
Master theses:
- S. Kahle: Data-driven homogenization and boundary layer theory based on neural networks, 2023
- M. Wolf: Data-driven homogenization for two-phase flows in porous media, 2023
- P. Strohbeck: Efficient preconditioners for Stokes-Darcy problems, 2022
- N. Nutsch: Optical flow methods for PIV analysis in
fractured porous media, 2022 - J. Nickl: Generalised interface conditions for Stokes–Darcy problems
with symmetric stress tensor, 2022 - A. Baric: Boundary layers for coupled problems in porous media, 2019
- Y. Öztürk: Upscaling of capillary network structures, 2018
Bachelor theses:
- F. Castor: Preconditioners for saddle point problems in fluid dynamics, 2021
- S. Kahle: Stochastic gradient descent for image registration, 2021
- M. Wolf: Data-driven homogenization based on neural networks for permeability estimation, 2020
- P. Strohbeck: Optimization of sharp interface location for coupled porous-medium and free-flow systems, 2020
- N. Nutsch: Numerical optimization methods for image registration with mutual information, 2020
- A.-K. Kapfenstein: Numerical optimization algorithms for image registration, 2020
- J. Flad: Image Registration using Mutual Information, 2019
- T. Schwaderer: Krylov subspace methods for diffusion equations with
discontinuous coefficients, 2019 - L. Ruan: Newton-Krylov Methods for Porous Media Flows, 2019
- A. Savanovic: Efficient numerical methods for ill-conditioned linear
systems, 2019 - L. Igel: Numerical methods for equilibrium and kinetic models, 2018
- D. Beyer: Newton-Krylov methods for unsaturated flows in porous media, 2018
- S. Özkan: Homogenisation of flow and transport in porous media, 2018
- S. Matskevich: Mathematical modelling of filtration processes, 2018
- E. Eggenweiler: Mathematical modelling of flows in fractured porous media,
2017 - A. Baric: Mathematical modelling of coupled free and subsurface water
flow, 2017