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TU Dortmund
Faculty of Mathematics — Chair III of Applied Mathematics
Vogelpothsweg 87
44227 Dortmund
Germany
Phone: +49-(0)231-755-3076
Fax: +49-(0)231-755-5933
E-mail:

Privatdozent Dr. Andriy Sokolov

Technische Universität Dortmund
Fakultät für Mathematik
Lehrstuhl LSIII
Vogelpothsweg 87
44227 Dortmund
Privatdozent Dr. Andriy Sokolov
RoomM 1033
Telephone(0231) 755-3171
Telefax(0231) 755-5933
E-mail

Curriculum Vitae

October 2018 - present Dortmund University of Technology, Dortmund, Germany: work on the habilitation thesis
January 2014 - September 2018 Dortmund University of Technology, Dortmund, Germany: postdoc fellow
October 2013 - January 2014 Dortmund University of Technology, Dortmund, Germany: substitute professorship
January 2009 - September 2013 Dortmund University of Technology, Dortmund, Germany: postdoc fellow
October 2005 - January 2009 Dortmund University of Technology, Dortmund, Germany: Ph.D. in Applied Mathematics
September 2003 - January 2005 Central European University together with the Hungarian Academy of Science, Budapest, Hungary: Graduate Studies in Mathematics
September 1996 - June 2001 Kharkov National University, Kharkov, Ukraine: Master of Science in Applied Mathematics

Tasks

  • Lecture on Numerical simulation of PDEs for biological applications
  • Lecture on Linear Algebra
  • Lecture on Discrete Mathematics
  • Supervisor: seminar and proseminar works in numerical mathematics
  • Supervisor: Practicum for WiMa students
  • Supervisor: Bachelor's and Master's theses

Research Interests

  • Meshless methods, Radial Basis Functions
  • Numerical simulations of PDEs in domains and on manifolds
  • Dynamic processes in biology (chemotactic motion, pattern formation, aggregation, multi-species)
  • Biological software developments
  • PDEs on evolving-in-time manifolds, level-set method
  • Navier-Stokes equations
  • Projection schemes
  • Moving boundaries
  • Algorithms and data structures

Papers

Authors Title / Event / Year Download
Dünnebacke, J.; Turek, S.; Lohmann, C.; Sokolov, A.; Zajac, P. Increased space-parallelism via time-simultaneous Newton-multigrid methods for nonstationary nonlinear PDE problems, International Journal of High Performance Computing Applications, online, https://doi.org/10.1177/10943420211001940, 2021 [BibTeX]
Dünnebacke, J.; Turek, S.; Zajac, P.; Sokolov, A. A Time-Simultaneous Multigrid Method for Parabolic Evolution Equations, Vermolen, F., Vuik, C., Lecture Notes in Computational Science and Engineering, 139, 333-342, Numerical Mathematics and Advanced Applications Enumath 2019, Springer, 2020 [BibTeX]
Sokolov, A.; Davydov, O.; Kuzmin, D.; Westermann, A.; Turek, S. A flux-corrected RBF-FD method for convection dominated problems in domains and, J. Num. Math., online, https://doi.org/10.1515/jnma-2018-0097, 2019 [BibTeX]
Sokolov, A.; Davydov, O.; Turek, S. Numerical Study of the RBF-FD Level Set Based Method for Partial Differential Equations on Evolving-in-Time Surfaces, Griebel, M., Schweitzer, M., 129, Meshfree Methods for Partial Differential Equations IX, Springer, Lecture Notes in Computational Science and Engineering, 2019 [BibTeX]
Sokolov, A.; Ali, R.; Turek, S. An AFC-stabilized implicit finite element method for partial differential equations on evolving-in-time surfaces, J. Comp. Appl. Math., 289, 101-115, http://dx.doi.org/10.1016/j.cam.2015.03.002, 2015 [BibTeX]
Sokolov, A.; Strehl, R.; Turek, S. Numerical simulation of chemotaxis models on stationary surfaces, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 463, Fakultät für Mathematik, TU Dortmund, 463, 2012 [BibTeX] [PDF]
Strehl, R.; Sokolov, A.; Kuzmin, D.; Horstmann, D.; Turek, S. A positivity-preserving finite element method for chemotaxis problems in 3D , J. Comp. Appl. Math., 239, 290-303, 2012 [BibTeX]
Strehl, R.; Sokolov, A.; Turek, S. Efficient, accurate and flexible Finite Element solvers for Chemotaxis problems, Computers and Mathematics with Applications, 34, 3, 175-189, 2011 [BibTeX]
Strehl, R.; Sokolov, A.; Kuzmin, D.; Turek, S. A flux-corrected finite element method for chemotaxis problems, Computational Methods in Applied Mathematics, Vol. 10 (2010) , 2, 219-232 , 2009 [BibTeX]
Sokolov, A. Analysis and numerical realisation of discrete projection methods for rotation incompressible flows, 2008 [BibTeX]
Olshanskii, M.; Sokolov, A.; Turek, S. Error analysis of a projection method for the Navier--Stokes equations with coriolis force, Journal of Mathematical Fluid Mechanics, 11-+, doi: 10.1007/s00021-009-0299-0; http://adsabs.harvard.edu/abs/2009JMFM..tmp...11O; Provided by the SAO/NASA Astrophysics Data System, 2009 [BibTeX]
Sokolov, A.; Olshanskii, M.; Turek, S. A discrete projection method for incompressible viscous flow with Coriolis force, Comput. Meth. Appl. Mech. Eng., 197, 51-52, 4512--4520, 2008 [Abstract] [BibTeX]
Sokolov, A.; Olshanskii, M.; Turek, S. Numerical study of a new discrecte projection method for rotating incompressible flows, Electronic Transactions on Numerical Analysis , 32, 49-62, 2008 [Abstract] [BibTeX]
Kuzmin, D.; Mehrmann, V.; Schlauch, S.; Sokolov, A.; Turek, S. Population Balances Coupled with the CFD-Code FeatFlow, Ergebnisberichte des Instituts für Angewandte Mathematik Nummer 324, Fakultät für Mathematik, TU Dortmund, 324, 2006 [Abstract] [BibTeX] [PDF]
Henning, L.; Kuzmin, D.; Mehrmann, V.; Schmidt, M.; Sokolov, A.; Turek, S. Flow control on the basis of a FEATFLOW-MATLAB coupling, Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM), Springer, 1st Active Flow Control Conference AFC 2006, Berlin, 2006 [BibTeX]
Hahanov, V.; Sokolov, A.; Chamyan, A. Determined method of genetic algorithms for synthesis verification of digital systems, Radio electronics and informatics, 36, Kharkov, Ukraine, 2002 [BibTeX]
Gavrylyako, V.; Sokolov, A. Numerical solution of nonsmooth equations in the control problems, Vestnik, Kharkov, Ukraine, 2001 [BibTeX]

Talks

Authors Title / Event / Year Download
Sokolov, A.; Kuzmin, D.; Davydov, O.; Turek, S. A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds, Workshop on Multiscale modeling and simulations to bridge molecular and cellular scales, Oktober 2018, Pisa, 01. - 05. Oktober 2018 [BibTeX] [PDF]
Sokolov, A.; Kuzmin, D.; Davydov, O.; Turek, S. A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds, Workshop on Variational Multiscale Methods and Stabilized Finite Elements (VMS), Berlin, Dezember 2018 [BibTeX] [PDF]
Sokolov, A.; Davydov, O.; Turek, S. Numerical solution of surface PDEs with Radial Basis Functions, Workshop Icerm: Localized Kernel-Based Meshless Methods for Partial Differential Equations, Aug 2017 [BibTeX] [PDF]
Sokolov, A. Numerical solution of surface PDEs with Radial Basis Functions, , Juni 2017 [BibTeX] [PDF]
Ali, R.; Sokolov, A.; Strehl, R.; Turek, S. Numerical framework for pattern-forming models on evolving-in-time surfaces, International Conference on Mathematical Methods and Models in Biosciences and Young Scientist School, 2015, Balagoevgrad June 14 – 19, 2015 [BibTeX] [PDF]
Strehl, R.; Sokolov, A.; Turek, S. Efficient, accurate and flexible Finite Element solvers for Chemotaxis, BIOMATH Tagung in Sofia, Juni 2011 [BibTeX] [PDF]
Strehl, R.; Sokolov, A.; Turek, S. Efficient, accurate and flexible Finite Element solvers for Chemotaxis, Forschungsaufenthalt am Konrad Zuse Institut in Berlin, März 2011 [BibTeX] [PDF]