Professor: Dmitry Koroteev
Ekaterina has received her MSc degree with honours in Mathematics from the Department of Mechanics and Mathematics of Lomonosov Moscow State University (MSU) in 2005, and Candidate of Sciences degree in Computational Mathematics from the Institute of Numerical Mathematics of the Russian Academy of Sciences (INM RAS) in 2010. From 2006 till 2012, Ekaterina held several visiting positions in German research institutes and universities, including University of Dortmund, the Hausdorff Research Institute for Mathematics in Bonn, and Max-Planck Institute for Mathematics in the Sciences in Leipzig. From 2011 to 2014, she was working in the Department of Mathematics and Mechanics of MSU. She started working in oil service companies in 2013, first as a consultant in Schlumberger Moscow Research, and then in CET MIPT, working in parallel in INM RAS.
Her research interests include numerical analysis, computational fluid dynamics, non-Newtonian flows and most recently non-smooth optimization and data analysis.
Ekaterina has 14 papers in leading international and Russian journals on mathematical modelling, computational mathematics and Non-Newtonian fluid mechanics, and also has been a principal investigator (PI) of two grants and co-PI of three grants and projects.
Machine learning methods for processing of geophysical and petrophysical data
E. Muravleva, I. Oseledets. Approximate solution of linear systems with Laplace-like operators via cross approximation in the frequency domain. Computational Methods in Applied Mathematics, 19 (1): 137–145, 2019
E. Muravleva, I. Oseledets, D. Koroteev. Application of machine learning to viscoplastic flow modeling. Physics of Fluid, 30(10) 103102, 2018
D. Volkhonskiy, E. Muravleva, O. Sudakov, D. Orlov, B. Belozerov, E. Burnaev, D. Koroteev.Reconstruction of 3D Porous Media From 2D Slices. arXiv preprint arXiv:1901.10233
N. Klyuchnikov, A. Zaytsev, A. Gruzdev, G. Ovchinnikov, K. Antipova, L. Ismailova, E. Muravleva, E. Burnaev, A. Semenikhin, A.Cherepanov, V. Koryabkin, I. Simon, A. Tsurgan, F. Krasnov, D. Koroteev. Data-driven model for the identification of the rock type at a drilling bit. arXiv preprint arXiv:1806.03218
E. Muravleva, I. Oseledets. Fast low-rank solution of the Poisson equation with application to the Stokes problem. arXiv preprint arXiv:1306.2150
E. Muravleva, I. Oseledets, D. Koroteev. Moder order reduction in viscoplastic flow modeling using proper orthogonal decomposition and neural networks. Proceeding ECCM-ECFD 2018
A. Osiptsov, S. Boronin, E. Muravleva. Multigrid pressure solver for proppant transport modeling in hydraulic fracturing simulators. 3rd EAGE Workshop on High-Performance Computing for Upstream 2017 (74-78)
E.A. Muravleva and L.V. Muravleva. Unsteady viscometric circular flows of a viscoplastic medium in an annular gap. Moscow University Mechanics Bulletin,
E.A. Muravleva and L.V. Muravleva. Bingham-Il’yushin viscoplastic medium flows in channels with undulating walls. Mechanics of Solids, 46(1):47–51, 2011.
E.A. Muravleva, L.V. Muravleva, G.C. Georgiou, and E. Mitsoulis. Numerical simulations of cessation flows of a Bingham plastic with the augmented Lagrangian method. J. Non-Newtonian Fluid. Mech., 165:544–550, 2010.
E.A. Muravleva, L.V. Muravleva, G.C. Georgiou, and E. Mitsoulis. Numerical simulations of unsteady circular Couette flow of a Bingham plastic with the augmented Lagrangian method. Rheologica Acta, 49(11-12):1197–1206, 2010.
I.V. Oseledets and E.A. Muravleva. Fast orthogonalization to the kernel of the discrete gradient operator with application to Stokes problem. Linear Algebra Appl., 432(6):1492–1500, 2010.
E.A. Muravleva and L.V. Muravleva. Cessation of flows of a viscoplastic medium in channels. Doklady Physics, 55(1):39–42, 2010.
E.A. Muravleva and L.V. Muravleva. Numerical simulation of initiation and cessation of flow between coaxial cylinders in the case of a viscoplastic Bingham-Il’yushin medium. Moscow University Mechanics Bulletin, 65(3):63–66, 2010.
E.A. Muravleva and L.V. Muravleva. Unsteady flows of a viscoplastic medium in channels. Mechanics of Solids, 44(5):792–812, 2009.
E.A. Muravleva. Finite-difference schemes for the computation of viscoplastic medium flows in a channel. Math. Models Comp. Simul., 1(6):768–779, 2009.
E.A. Muravleva and L.V. Muravleva. Uzawa method on semi-staggered grids for unsteady Bingham media flows. Rus. J. Num. Anal. Math. Model., 24(6):543–563, 2009.
E.A Muravleva and M.A. Olshanskii. Two finite-difference schemes for the Bingham cavity flows. Rus. J. Num. Anal. Math. Model., 23(6):615–634, 2008.
E.A. Muravleva. The problem of stopping the flow of a viscoplastic medium in a channel. Moscow University Mechanics Bulletin, 64(1):25–28, 2009.
E.A. Muravleva and L.V. Muravleva. An iterative method for computing the flows of a viscoplastic Bingham medium. Num. Meth. Prog., 12:161–171, 2012.
E.A. Muravleva. On the kernel of discrete gradient operator. Numer. Meth. Prog., 9(1):97– 104, 2008.
MSc degree (with honours) in Mathematics, Department of Mechanics and Mathematics of Lomonosov Moscow State University (2005)
Candidate of Sciences degree in Computational Mathematics, Institute of Numerical Mathematics of the Russian Academy of Sciences, (2010)
Course “Mathematics and Python for Data Analysis” (2017)
Numerical analysis, mathematical modelling, intellectual big data analysis for processing of geophysical and petrophysical data, viscoplastic flows, multiphase flows
UMNIK “High-performance program complex for solving three-dimensional unsteady viscoplastic problems” (2012-2013)
RFBR mol-a grant “Numerical methods for non-Newtonian fluid modelling”
Federal program “Kadry”, grant “Mathematical modelling of viscoplastic flows”