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Rybak , Iryna

Iryna Rybak

Priv.-Doz. Dr.

Research assistant

Contact

+49 711 685 67647
Email

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)

Publications

2023
1. Kröker, I., Oladyshkin, S., Rybak, I.: Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems. Comput. Geosci. (2023). https://doi.org/10.1007/s10596-023-10236-z.
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  @article{kroeker-etal-22, author = {Kr\"oker, I. and Oladyshkin, S. and Rybak, I.}, doi = {10.1007/s10596-023-10236-z}, journal = {Comput. Geosci.}, title = {Global sensitivity analysis using multi-resolution polynomial chaos expansion for coupled Stokes-Darcy flow problems}, year = 2023 }
2. Miller, C.T., Gray, W.G., Kees, C.E., Rybak, I., Shepherd, B.J.: Correction to: Modelling Sediment Transport in Three-Phase Surface Water Systems. J. Hydraul. Res. 61, 168–171 (2023). https://doi.org/10.1080/00221686.2022.2107580.
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  @article{miller-etal-22, author = {Miller, C. T. and Gray, W. G. and Kees, C. E. and Rybak, I. and Shepherd, B. J.}, doi = {10.1080/00221686.2022.2107580}, journal = {J. Hydraul. Res. }, pages = {168-171}, title = {Correction to: Modelling Sediment Transport in Three-Phase Surface Water Systems}, volume = 61, year = 2023 }
3. Eggenweiler, E., Nickl, J., Rybak, I.: Justification of generalized interface conditions for Stokes-Darcy problems. In: Finite Volumes for Complex Applications X (accepted) (2023).
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  @inproceedings{eggenweiler2023justification, author = {Eggenweiler, Elissa and Nickl, J. and Rybak, Iryna}, booktitle = {Finite Volumes for Complex Applications X (accepted)}, title = {Justification of generalized interface conditions for Stokes-Darcy problems}, year = 2023 }
4. Ruan, L., Rybak, I.: Stokes-Brinkman-Darcy models for coupled free-flow and porous-medium systems. In: Finite Volumes for Complex Applications X (accepted) (2023).
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  @inproceedings{rybak2023stokesbrinkmandarcy, author = {Ruan, Linheng and Rybak, Iryna}, booktitle = {Finite Volumes for Complex Applications X (accepted)}, title = {Stokes-Brinkman-Darcy models for coupled free-flow and porous-medium systems}, year = 2023 }
5. Strohbeck, P., Riethmüller, C., Göddeke, D., Rybak, I.: Robust and efficient preconditioners for Stokes-Darcy problems. In: Finite Volumes for Complex Applications X (accepted) (2023).
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  @inproceedings{strohbeck2023robust, author = {Strohbeck, Paula and Riethmüller, C. and Göddeke, Dominik and Rybak, Iryna}, booktitle = {Finite Volumes for Complex Applications X (accepted)}, title = {Robust and efficient preconditioners for Stokes-Darcy problems}, year = 2023 }
6. Strohbeck, P., Eggenweiler, E., Rybak, I.: A modification of the Beavers-Joseph condition for arbitrary flows to the fluid-porous interface. Transp. Porous Med. 147, 605–628 (2023). https://doi.org/10.1007/s11242-023-01919-3.
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  @article{Strohback_Eggenweiler_Rybak_21, author = {Strohbeck, P. and Eggenweiler, E. and Rybak, I.}, doi = {10.1007/s11242-023-01919-3}, issn = {1573-1634}, journal = {Transp. Porous Med.}, month = {04}, number = 3, pages = {605-628}, title = {A modification of the Beavers-Joseph condition for arbitrary flows to the fluid-porous interface}, url = {https://doi.org/10.1007/s11242-023-01919-3}, volume = 147, year = 2023 }
  Link
  https://doi.org/10.1007/s11242-023-01919-3
7. Mohammadi, F., Eggenweiler, E., Flemisch, B., Oladyshkin, S., Rybak, I., Schneider, M., Weishaupt, K.: A Surrogate-Assisted Uncertainty-Aware Bayesian Validation Framework and its Application to Coupling Free Flow and Porous-Medium Flow. Comput. Geosci. (2023). https://doi.org/10.1007/s10596-023-10228-z.
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  @article{mohammadi2021uncertaintyaware, author = {Mohammadi, F. and Eggenweiler, E. and Flemisch, B. and Oladyshkin, S. and Rybak, I. and Schneider, M. and Weishaupt, K.}, doi = {10.1007/s10596-023-10228-z}, journal = {Comput. Geosci. }, title = {A Surrogate-Assisted Uncertainty-Aware Bayesian Validation Framework and its Application to Coupling Free Flow and Porous-Medium Flow}, year = 2023 }
2022
1. Eggenweiler, E., Discacciati, M., Rybak, I.: Analysis of the Stokes-Darcy problem with generalised interface conditions. ESAIM Math. Model. Numer. Anal. 56, 727–742 (2022). https://doi.org/10.1051/m2an/2022025.
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  @article{Eggenweiler_Rybak_Discacciati_21, author = {Eggenweiler, E. and Discacciati, M. and Rybak, I.}, doi = {10.1051/m2an/2022025}, journal = {ESAIM Math. Model. Numer. Anal.}, pages = {727-742}, title = {Analysis of the Stokes-Darcy problem with generalised interface conditions }, volume = 56, year = 2022 }
2021
1. Rybak, I., Schwarzmeier, C., Eggenweiler, E., Rüde, U.: Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models. Comput. Geosci. 25, 621–635 (2021). https://doi.org/10.1007/s10596-020-09994-x.
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  @article{Rybak_etal_19, author = {Rybak, I. and Schwarzmeier, C. and Eggenweiler, E. and R\"{u}de, U.}, doi = {10.1007/s10596-020-09994-x}, journal = {Comput. Geosci. }, pages = {621-635}, title = {Validation and calibration of coupled porous-medium and free-flow problems using pore-scale resolved models}, volume = 25, year = 2021 }
2. Wagner, A., Eggenweiler, E., Weinhardt, F., Trivedi, Z., Krach, D., Lohrmann, C., Jain, K., Karadimitriou, N., Bringedal, C., Voland, P., Holm, C., Class, H., Steeb, H., Rybak, I.: Permeability estimation of regular porous structures: a benchmark for comparison of methods. Transp. Porous Med. 138, 1–23 (2021). https://doi.org/10.1007/s11242-021-01586-2.
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  @article{Wagner_etal_19, author = {Wagner, A. and Eggenweiler, Elissa and Weinhardt, F. and Trivedi, Z. and Krach, D. and Lohrmann, C. and Jain, K. and Karadimitriou, N. and Bringedal, Carina and Voland, P. and Holm, Christian and Class, Holger and Steeb, Holger and Rybak, Iryna}, doi = {10.1007/s11242-021-01586-2}, journal = {Transp. Porous Med.}, pages = {1-23}, title = {Permeability estimation of regular porous structures: a benchmark for comparison of methods}, volume = 138, year = 2021 }
3. Eggenweiler, E., Rybak, I.: Effective coupling conditions for arbitrary flows in Stokes-Darcy systems. Multiscale Model. Simul. 19, 731–757 (2021). https://doi.org/10.1137/20M1346638.
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  @article{EggenweilerRybak2020, author = {Eggenweiler, E. and Rybak, I.}, doi = {10.1137/20M1346638}, journal = {Multiscale Model. Simul.}, pages = {731-757}, title = {Effective coupling conditions for arbitrary flows in {S}tokes-{D}arcy systems}, volume = 19, year = 2021 }
2020
1. Rybak, I., Metzger, S.: A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media. Appl. Math. Comp. 384, (2020). https://doi.org/10.1016/j.amc.2020.125260.
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  @article{Rybak_Metzger_18, author = {Rybak, I. and Metzger, S.}, doi = {10.1016/j.amc.2020.125260}, journal = {Appl. Math. Comp.}, title = {A dimensionally reduced Stokes-Darcy model for fluid flow in fractured porous media}, volume = 384, year = 2020 }
2. Eggenweiler, E., Rybak, I.: Unsuitability of the Beavers-Joseph interface condition for filtration problems. J. Fluid Mech. 892, A10 (2020). http://dx.doi.org/10.1017/jfm.2020.194.
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  @article{EggenweilerRybak2019, author = {Eggenweiler, E. and Rybak, I.}, doi = {http://dx.doi.org/10.1017/jfm.2020.194}, journal = {J. Fluid Mech. }, pages = {A10}, title = {Unsuitability of the Beavers-Joseph interface condition for filtration problems}, volume = 892, year = 2020 }
3. Eggenweiler, E., Rybak, I.: Interface conditions for arbitrary flows in coupled porous-medium and free-flow systems. In: Klöfkorn, R., Keilegavlen, E., Radu, F., and Fuhrmann, J. (eds.) Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples. pp. 345--353. Springer International Publishing (2020). https://doi.org/10.1007/978-3-030-43651-3_31.
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  @inproceedings{EggenweileRybak19b, author = {Eggenweiler, E. and Rybak, I.}, booktitle = {Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples}, doi = {10.1007/978-3-030-43651-3_31}, editor = {Kl{\"o}fkorn, R. and Keilegavlen, E. and Radu, F. and Fuhrmann, J.}, pages = {345--353}, publisher = {Springer International Publishing}, series = {Springer Proceedings in Mathematics \& Statistics}, title = {Interface conditions for arbitrary flows in coupled porous-medium and free-flow systems}, volume = 323, year = 2020 }
2019
1. Miller, C.T., Gray, W.G., Kees, C.E., Rybak, I.V., Shepherd, B.J.: Modeling sediment transport in three-phase surface water systems. J. Hydraul. Res. 57, (2019). https://doi.org/10.1080/00221686.2019.1581673.
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  @article{Miller_etal_18, author = {Miller, C. T. and Gray, W. G. and Kees, C. E. and Rybak, I. V. and Shepherd, B. J.}, doi = {10.1080/00221686.2019.1581673}, journal = {J. Hydraul. Res.}, title = {Modeling sediment transport in three-phase surface water systems}, volume = 57, year = 2019 }
2016
1. Magiera, J., Rohde, C., Rybak, I.: A hyperbolic-elliptic model problem for coupled surface-subsurface flow. Transp. Porous Media. 114, 425–455 (2016). https://doi.org/10.1007/S11242-015-0548-Z.
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  @article{magiera2016hyperbolicelliptic, author = {Magiera, J. and Rohde, C. and Rybak, I.}, doi = {10.1007/S11242-015-0548-Z}, journal = {Transp. Porous Media}, owner = {ingrid}, pages = {425-455}, title = {A hyperbolic-elliptic model problem for coupled surface-subsurface flow}, volume = 114, year = 2016 }
2. Rybak, I., Magiera, J.: Decoupled schemes for free flow and porous medium systems. In: et al., T.D. (ed.) Domain Decomposition Methods in Science and Engineering XXII. pp. 613--621. Springer (2016). https://doi.org/10.1007/978-3-319-18827-0\_54.
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  @inproceedings{rybak2016decoupled, author = {Rybak, I. and Magiera, J.}, booktitle = {Domain Decomposition Methods in Science and Engineering XXII}, doi = {10.1007/978-3-319-18827-0\_54}, editor = {et al., T. Dickopf}, owner = {rybak}, pages = {613--621}, publisher = {Springer}, series = {Lecture Notes in Computational Science and Engineering}, title = {Decoupled schemes for free flow and porous medium systems}, volume = 104, year = 2016 }
2015
1. Rybak, I.V., Gray, W.G., Miller, C.T.: Modeling two-fluid-phase flow and species transport in porous media. J. Hydrology. 521, 565--581 (2015). https://doi.org/10.1016/j.jhydrol.2014.11.051.
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  @article{rybak2015modeling, author = {Rybak, I.V. and Gray, W.G. and Miller, C.T.}, doi = {https://doi.org/10.1016/j.jhydrol.2014.11.051}, journal = {J. Hydrology}, owner = {rybak}, pages = {565--581}, title = {Modeling two-fluid-phase flow and species transport in porous media}, volume = 521, year = 2015 }
2. Rybak, I., Magiera, J., Helmig, R., Rohde, C.: Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems. Comput. Geosci. 19, 299–309 (2015). https://doi.org/10.1007/s10596-015-9469-8.
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  @article{rybak2015multirate, affiliation = {Rybak, I (Reprint Author), Univ Stuttgart, Inst Appl Anal \& Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany. Rybak, Iryna; Magiera, Jim; Rohde, Christian, Univ Stuttgart, Inst Appl Anal \& Numer Simulat, D-70569 Stuttgart, Germany. Helmig, Rainer, Univ Stuttgart, Inst Modelling Hydraul \& Environm Syst, D-70569 Stuttgart, Germany.}, author = {Rybak, Iryna and Magiera, Jim and Helmig, Rainer and Rohde, Christian}, doi = {10.1007/s10596-015-9469-8}, eissn = {1573-1499}, issn = {1420-0597}, journal = {Comput. Geosci.}, language = {English}, month = {04}, pages = {299-309}, publisher = {SPRINGER}, research-areas = {Computer Science; Geology}, title = {Multirate time integration for coupled saturated/unsaturated porous medium and free flow systems}, type = {Article}, unique-id = {ISI:000355335100003}, volume = 19, year = 2015 }
2014
1. Rybak, I., Magiera, J.: A multiple-time-step technique for coupled free flow and porous medium systems. J. Comput. Phys. 272, 327--342 (2014). https://doi.org/10.1016/j.jcp.2014.04.036.
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  @article{rybak2014multipletimestep, author = {Rybak, I. and Magiera, J.}, doi = {10.1016/j.jcp.2014.04.036}, journal = {J. Comput. Phys.}, note = {accepted}, owner = {rybak}, pages = {327--342}, title = {A multiple-time-step technique for coupled free flow and porous medium systems}, volume = 272, year = 2014 }
2. Rybak, I.: Coupling free flow and porous medium flow systems using sharp interface and transition region concepts. In: Fuhrmann, J., Ohlberger, M., and Rohde, C. (eds.) Finite Volumes for Complex Applications VII - Elliptic, Parabolic and Hyperbolic Problems, FVCA 7. pp. 703--711. Springer (2014). https://doi.org/10.1007/978-3-319-05591-6_70.
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  @inproceedings{rybak2014coupling, author = {Rybak, I.}, booktitle = {Finite Volumes for Complex Applications VII - Elliptic, Parabolic and Hyperbolic Problems, FVCA 7}, doi = {10.1007/978-3-319-05591-6_70}, editor = {Fuhrmann, J. and Ohlberger, M. and Rohde, C.}, month = {06}, owner = {rybak}, pages = {703--711}, publisher = {Springer}, series = {Springer Proceedings in Mathematics \& Statistics}, title = {Coupling free flow and porous medium flow systems using sharp interface and transition region concepts}, volume = 78, year = 2014 }
2012
1. Jackson, A.S., Rybak, I., Helmig, R., Gray, W.G., Miller, C.T.: Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 9. Transition region models. Adv. Water Res. 42, 71--90 (2012). https://doi.org/10.1016/j.advwatres.2012.01.006.
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  @article{jackson2012thermodynamically, author = {Jackson, A. S. and Rybak, I. and Helmig, R. and Gray, W. G. and Miller, C. T.}, doi = {10.1016/j.advwatres.2012.01.006}, journal = {Adv. Water Res.}, owner = {rybak}, pages = {71--90}, title = {Thermodynamically constrained averaging theory approach for modeling flow and transport phenomena in porous medium systems: 9. Transition region models}, url = {http://www.sciencedirect.com/science/article/pii/S0309170812000164}, volume = 42, year = 2012 }
  Link
  http://www.sciencedirect.com/science/article/pii/S0309170812000164
2011
1. Mosthaf, K., Baber, K., Flemisch, B., Helmig, R., Leijnse, A., Rybak, I., Wohlmuth, B.: A coupling concept for two-phase compositional porous-medium and single-phase compositional free flow. Water Resour. Res. 47, W10522 (2011). https://doi.org/10.1029/2011WR010685.
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  @article{mosthaf2011coupling, author = {Mosthaf, K. and Baber, K. and Flemisch, B. and Helmig, R. and Leijnse, A. and Rybak, I. and Wohlmuth, B.}, doi = {10.1029/2011WR010685}, journal = {Water Resour. Res.}, owner = {rybak}, pages = {W10522}, title = {A coupling concept for two-phase compositional porous-medium and single-phase compositional free flow}, url = {http://onlinelibrary.wiley.com/doi/10.1029/2011WR010685/abstract}, volume = 47, year = 2011 }
  Link
  http://onlinelibrary.wiley.com/doi/10.1029/2011WR010685/abstract
2009
1. Ewing, R., Iliev, O., Lazarov, R., Rybak, I., Willems, J.: A simplified method for upscaling composite materials with high contrast of the conductivity. SIAM J. Sci. Comp. 31, 2568--2586 (2009). https://doi.org/10.1137/080731906.
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  @article{ewing2009simplified, author = {Ewing, R. and Iliev, O. and Lazarov, R. and Rybak, I. and Willems, J.}, doi = {10.1137/080731906}, journal = {SIAM J. Sci. Comp.}, number = 4, owner = {szur}, pages = {2568--2586}, title = {A simplified method for upscaling composite materials with high contrast of the conductivity}, url = {http://epubs.siam.org/doi/abs/10.1137/080731906}, volume = 31, year = 2009 }
  Link
  http://epubs.siam.org/doi/abs/10.1137/080731906
2008
1. Iliev, O., Rybak, I.: On numerical upscaling for flows in heterogeneous porous media. Comput. Methods Appl. Math. 8, 60--76 (2008).
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  @article{iliev2008numerical, author = {Iliev, O. and Rybak, I.}, journal = {Comput. Methods Appl. Math.}, number = 1, owner = {szur}, pages = {60--76}, title = {On numerical upscaling for flows in heterogeneous porous media}, volume = 8, year = 2008 }
2007
1. Ewing, R., Iliev, O., Lazarov, R., Rybak, I.: On two-level preconditioners for flow in porous media. Fraunhofer ITWM (2007).
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  @techreport{ewing2007twolevel, author = {Ewing, R. and Iliev, O. and Lazarov, R. and Rybak, I.}, institution = {Fraunhofer ITWM}, number = 121, owner = {szur}, title = {On two-level preconditioners for flow in porous media}, year = 2007 }
2. Iliev, O., Rybak, I., Willems., J.: On upscaling heat conductivity for a class of industrial problems. Fraunhofer ITWM (2007).
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  @techreport{iliev2007upscaling, author = {Iliev, O. and Rybak, I. and Willems., J.}, institution = {Fraunhofer ITWM}, number = 120, owner = {rybak}, title = {On upscaling heat conductivity for a class of industrial problems}, year = 2007 }
3. Iliev, O., Rybak, I.: On approximation property of multipoint flux approximation method. Fraunhofer ITWM (2007).
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  @techreport{iliev2007approximation, author = {Iliev, O. and Rybak, I.}, institution = {Fraunhofer ITWM}, number = 119, owner = {szur}, title = {On approximation property of multipoint flux approximation method}, year = 2007 }
2005
1. Iliev, O., Rybak, I.: On numerical upscaling of flow in anisotropic porous media. In: Mathematisches Forschungsinstitut Oberwolfach Report No. 20. pp. 1162–1165 (2005).
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  @inproceedings{iliev2005numerical, author = {Iliev, O. and Rybak, I.}, booktitle = {Mathematisches Forschungsinstitut Oberwolfach Report No. 20}, owner = {rybak}, pages = {1162–1165}, title = {On numerical upscaling of flow in anisotropic porous media}, year = 2005 }
2004
1. Rybak, I.: Monotone and conservative difference schemes for elliptic equations with mixed derivatives. Math. Model. Anal. 9, 169--178 (2004).
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  @article{rybak2004monotone, author = {Rybak, I.}, journal = {Math. Model. Anal.}, number = 2, owner = {szur}, pages = {169--178}, title = {Monotone and conservative difference schemes for elliptic equations with mixed derivatives}, volume = 9, year = 2004 }
2. Rybak, I.: Monotone and conservative difference schemes for equations with mixed derivatives. Dokl. Akad. Navuk Belarusi. 48, 45--48 (2004).
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  @article{rybak2004monotone, author = {Rybak, I.}, journal = {Dokl. Akad. Navuk Belarusi}, number = 1, owner = {rybak}, pages = {45--48}, title = {Monotone and conservative difference schemes for equations with mixed derivatives}, volume = 48, year = 2004 }
3. Matus, P., Melnik, R., Wang, L., Rybak, I.: Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials. Math. Comp. Simulation. 65, 489--509 (2004).
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  @article{matus2004applications, author = {Matus, P. and Melnik, R. and Wang, L. and Rybak, I.}, journal = {Math. Comp. Simulation}, owner = {szur}, pages = {489--509}, title = {Applications of fully conservative schemes in nonlinear thermoelasticity: modelling shape memory materials}, volume = 65, year = 2004 }
4. Rybak, I.: Computational dynamics of shape memory alloys. In: Proc. of Lobachevski Mathematical Center. pp. 209--218. Kazan (2004).
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  @inproceedings{rybak2004computational, author = {Rybak, I.}, booktitle = {Proc. of Lobachevski Mathematical Center}, owner = {rybak}, pages = {209--218}, publisher = {Kazan}, title = {Computational dynamics of shape memory alloys}, year = 2004 }
5. Rybak, I.: Monotone and conservative difference schemes for nonlinear nonstationary equations and equations with mixed derivatives, (2004).
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  @phdthesis{rybak2004monotone, author = {Rybak, I.}, owner = {rybak}, school = {Institute of Mathematics of the National Academy of Sciences of Belarus}, title = {Monotone and conservative difference schemes for nonlinear nonstationary equations and equations with mixed derivatives}, year = 2004 }
6. Matus, P., Rybak, I.: Difference schemes for elliptic equations with mixed derivatives. Comput. Methods Appl. Math. 4, 494--505 (2004).
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  @article{matus2004difference, author = {Matus, P. and Rybak, I.}, journal = {Comput. Methods Appl. Math.}, number = 4, owner = {szur}, pages = {494--505}, title = {Difference schemes for elliptic equations with mixed derivatives}, volume = 4, year = 2004 }
7. Rybak, I.: Monotone difference schemes for equations with mixed derivatives in the case of boundary conditions of the third type. Proceedings of the National Academy of Sciences of Belarus, Series of Physical-Mathematical Sciences. 40, 37--42 (2004).
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  @article{rybak2004monotone, author = {Rybak, I.}, journal = {Proceedings of the National Academy of Sciences of Belarus, Series of Physical-Mathematical Sciences}, number = 1, owner = {rybak}, pages = {37--42}, title = {Monotone difference schemes for equations with mixed derivatives in the case of boundary conditions of the third type}, volume = 40, year = 2004 }
2003
1. Melnik, R., Wang, L., Matus, P., Rybak, I.: Computational aspects of conservative difference schemes for shape memory alloys applications. Lecture Notes in Comput. Sci. 2668, 791--800 (2003).
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  @article{melnik2003computational, author = {Melnik, R. and Wang, L. and Matus, P. and Rybak, I.}, journal = {Lecture Notes in Comput. Sci.}, owner = {szur}, pages = {791--800}, title = {Computational aspects of conservative difference schemes for shape memory alloys applications}, volume = 2668, year = 2003 }
2. Matus, P., Rybak, I.: Monotone difference schemes for nonlinear parabolic equations. Differential Equations. 39, 1013--1022 (2003).
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  @article{matus2003monotone, author = {Matus, P. and Rybak, I.}, journal = {Differential Equations}, number = 7, owner = {rybak}, pages = {1013--1022}, title = {Monotone difference schemes for nonlinear parabolic equations}, volume = 39, year = 2003 }
3. Matus, P., Melnik, R., Rybak, I.: Fully conservative difference schemes for nonlinear models describing dynamics of materials with shape memory. Dokl. Akad. Navuk Belarusi, 47(1):15–17, 2003. 47, 15--17 (2003).
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  @article{matus2003fully, author = {Matus, P. and Melnik, R. and Rybak, I.}, journal = {Dokl. Akad. Navuk Belarusi, 47(1):15–17, 2003.}, number = 1, owner = {rybak}, pages = {15--17}, title = {Fully conservative difference schemes for nonlinear models describing dynamics of materials with shape memory}, volume = 47, year = 2003 }
4. Rybak, I.: Difference schemes for nonlinear models describing dynamic behaviour of shape memory alloys. In: Condensed State Physics: XI Republican Scientific Conference, Grodno, Belarus, April 23�25, 2003. pp. 200–203 (2003).
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  @conference{rybak2003difference, author = {Rybak, I.}, booktitle = {Condensed State Physics: XI Republican Scientific Conference, Grodno, Belarus, April 23�25, 2003}, owner = {rybak}, pages = {200-203}, title = {Difference schemes for nonlinear models describing dynamic behaviour of shape memory alloys}, year = 2003 }

Teaching

Summer Term 2023	Advanced Numerics of Partial Differential Equations
Winter Term 2022/23	Höhere Mathematik I für Ingenieurstudiengänge (Lineare Algebra und Geometrie) Masterseminar: Multiscale modelling and numerics: how to bridge scales
Winter Term 2021/22	Mathematische Programmierung 1 BSc Homogenization theory and computations Numerische Mathematik 1
Summer Term 2021	Numerical methods for differential equations Seminar: Saddle-Point Problems
Winter Term 2020/21	Mathematik 1 für Wirtschaftswissenschaftler (WebEx)
Summer Term 2020	Advanced Numerics of Partial Differential Equations (WebEx) Masterseminar: Multiskalenmodellierung in der numerischen Mathematik (WebEx)
Winter Term 2019/20	Mathematik 1 für Wirtschaftswissenschaftler Seminar: Efficient numerical methods for large linear systems
Summer Term 2019	Numerische Lineare Algebra Mathematische Programmierung für Lehramt
Winter Term 2018/19	Masterseminar Simulation Technology
Summer Term 2017	Numerische Lineare Algebra
Winter Term 2016/17	Numerische Fluiddynamik
Summer Term 2016	Mathematische Modellierung
Winter Term 2015/16	Numerische Verfahren für Mehrskalenprobleme
Winter Term 2014/15	Höhere Mathematik I für Ingenieurstudiengänge (Lineare Algebra und Geometrie)
Winter Term 2012/13	Poröse Medien: Modellierung, Analysis und Numerik
Summer Term 2012	Höhere Mathematik I für Ingenieurstudiengänge (Lineare Algebra und Geometrie)

Vita

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)

Third-party funding

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

Peer-Review Activities

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

Research Team

Postdoctoral Researchers:
    Elissa Eggenweiler

Ph.D. Students:
    Linheng Ruan
    Paula Strohbeck
   Joscha Nickl (Aix-Marseille-Université, France)

Master Students:
Sven Kahle
Maurice Wolf

Supervision of PhD, Master and Bachelor theses

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

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Iryna Rybak

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