All Publications

BOOKS

Yuri Vassilevski, Maxim Olshanskii, Sergey Simakov, Andrey Kolobov, Alexander Danilov. Personalized Computational Hemodynamics. Models, Methods, and Applications for Vascular Surgery and Antitumor Therapy. Academic Press, 2020, 280 p.
https://www.elsevier.com/books/personalized-computational-hemodynamics/vassilevski/978-0-12-815653-7

Yuri Vassilevski, Kirill Terekhov, Kirill Nikitin, Ivan Kapyrin. Parallel Finite Volume Computation on General Meshes. Springer International Publishing, 2020, 197 p.
https://www.springer.com/gp/book/9783030472313

Editors: Martin Lames, Alexander Danilov, Egor Timme, Yuri Vassilevski.
Proceedings of the 12th International Symposium on Computer Science in Sport (IACSS 2019). Series Title: Advances in Intelligent Systems and Computing 1028, Springer International Publishing 2020
https://link.springer.com/book/10.1007%2F978-3-030-35048-2

Василевский Ю.В., Данилов А.А., Липников К.Н., Чугунов В.Н. Автоматизированные технологии построения неструктурированных расчетных сеток. Москва: ФизМатЛит, 2016. – 216 с., ISBN 978-5-9221-1730-2 (T.IV) Обложка,текст

Василевский Ю.В., Коньшин И.Н., Копытов Г.В., Терехов К.М. INMOST – программная платформа и графическая среда для разработки параллельных численных моделей на сетках общего вида. Издательство Московского университета, 2013. 144 с. Обложка,текст

Василевский Ю.В., Капырин И.В. Практикум по современным вычислительным технологиям и основам математического моделирования. М: МАКС Пресс, 2009, 61 стр. pdf

Василевский Ю.В., Ольшанский М.А. Краткий курс по многосеточным методам и методам декомпозиции области. М: МАКС Пресс, 2007, 103 стр. pdf

 

JOURNAL PUBLICATIONS

Bouchnita A., Terekhov K., Nony P., Vassilevski Y., Volpert V. A mathematical model to quantify the effects of platelet count, shear rate, and injury size on the initiation of blood coagulation under venous flow conditions. PLoS ONE 15(7): e0235392, 2020 pdf

Lijian Xu, Tianyang Yang, Lekang Yin, Ye Kong, Yuri Vassilevski, Fuyou Liang. Numerical simulation of blood flow in aorta with dilation: a comparison between laminar and LES modeling methods. Computer Modeling in Engineering & Sciences, 2020 pdf

Гогниева Д.Г., Першина Е.С., Митина Ю.О., Гамилов Т.М., Прямоносов Р.А., Гогиберидзе Н.А., Рожков А.Н., Василевский Ю.В., Симаков С.С., Лианг Ф., Синицын В.Е., Бетелин В.Б., Щекочихин Д.Ю., Сыркин А.Л., Копылов Ф.Ю.Сравнение диагностической эффективности методик неинвазивного расчета фракционного резерва кровотока, основанных на построении одномерной и трехмерной математических моделей. Кардиоваскулярная терапия и профилактика. 2020;19(2):2303
Gognieva D.G., Pershina E.S., Mitina Yu.O., Gamilov T.M., Pryamonosov R.A., Gogiberidze N.A., Rozhkov A.N., Vasilevsky Yu.V., Simakov S.S., Liang F., Sinitsyn V.E., Betelin V.B., Schekochikhin D.Yu., Syrkin A.L., Kopylov F.Yu. Non-invasive fractional flow reserve: a comparison of one-dimensional and three-dimensional mathematical modeling effectiveness. Cardiovascular Therapy and Prevention. 2020;19(2):2303. (In Russ.) pdf

Ge X, Liu Y, Yin Z, Tu S, Fan Y, Vassilevski Y, Simakov S, Liang F. Comparison of instantaneous wave-free ratio (iFR) and fractional flow reserve (FFR) with respect to their sensitivities to cardiovascular factors: a computational model-based study. Journal of Interventional Cardiology. Article ID 4094121, 2020 pdf

I.Konshin, K.Terekhov, Yu.Vassilevski. Numerical modelling via INMOST software platform. Mathematica Montisnigri, 47, 75-86, 2020pdf

N.El Khatib, O.Kafi, A.Sequeira, S.Simakov, Yu.Vassilevski, V.Volpert. Mathematical modelling of atherosclerosis. Math. Model. Nat. Phenom. 14, 603, 2019 pdf

V.Salamatova, A.Yurova, Yu.Vassilevski, L.Wang. Automatic segmentation algorithms and personalized geometric modelling for a human knee. Russ. J. Numer. Anal. Math. Modelling 34(6):361-367, 2019pdf

V.Salamatova, A.Liogky, P.Karavaikin, A.Danilov, P.Kopylov, G.Kopytov, O.Kosykhin, R.Pryamonosov, A.Shipilov, A.Yurova, Yu.Vassilevski. Numerical assessment of coaptation for auto-pericardium based aortic valve cusps. Russ. J. Numer. Anal. Math. Modelling 34(5):277-287, 2019pdf

X.Ge, , Y.Liu, S.Tu, S.Simakov, Yu.Vassilevski, F.Liang. Model-based analysis of the sensitivities and diagnostic implications of FFR and CFR under various pathological conditions. Int.J. Numer. Meth. Biomed. Engng. 2019; e3257 pdf

Carson, J, Pant, S, Roobottom, C, et al. Non‐invasive coronary CT angiography‐derived fractional flow reserve (FFR): A benchmark study comparing the diagnostic performance of four different computational methodologies. Int.J.Numer. Meth. Biomed. Engng. 2019;e3235 pdf

K.Terekhov, Yu.Vassilevski. Finite Volume Method for Coupled Subsurface Flow Problems, I: Darcy Problem. J. Comp. Phys. 395, 298-306, 2019pdf

Гогниева Д.Г., Гамилов Т.М., Прямоносов Р.А., Василевский Ю.В., Симаков С.С., Лианг Ф., Терновой С.К., Серова Н.С., Тебенькова Е.С., Синицын Е.А., Першина Е.С., Абугов С.А., Марданян Г.В., Закрян Н.В., Киракосян В.Р., Бетелин В.Б., Митина Ю.О., Губина А.Ю., Щекочихин Д.Ю., Сыркин А.Л., Копылов Ф.Ю. Неинвазивная оценка фракционного резерва коронарного кровотока при помощи одномерной математической модели. Промежуточные результаты пилотного исследования. Российский кардиологический журнал 2019; 24 (3) 60-68
Gognieva D.G., Gamilov T.M., Pryamonosov R.A., Vasilevsky Y.V., Simakov S.S., Liang F., Ternovoy S.K., Serova N.S., Tebenkova E.S., Sinitsyn E.A., Pershina E.S., Abugov S.A., Mardanyan G.V., Zakryan N.V., Kirakosyan V.R., Betelin V.B., Mitina Y.O., Gubina A.Y., Shchekochikhin D.Y., Syrkin A.L., Kopylov F.Y. Noninvasive assessment of the fractional reserve of coronary blood flow with a one-dimensional mathematical model. Preliminary results of the pilot study. Russian Journal of Cardiology. 2019;(3):60-68. (In Russ.)pdf

T.Dobroserdova, F.Liang, G.Panasenko, Yu.Vassilevski. Multiscale models of blood flow in the compliant aortic bifurcation. Applied Mathematics Letters 93C, 98-104, 2019pdf

A.Lozovskiy, M.Olshanskii, Y.Vassilevski. Analysis and assessment of a monolithic FSI finite element method. Computers and Fluids, 179:277-288, 2019pdf

K.Nikitin, K.Terekhov, Yu.Vassilevski. Two methods of surface tension treatment in free surface flow simulations. Applied Mathematics Letters, V.86, 236-242, 2018 pdf

X.Ge, Z.Yin, Y.Fan, Yu.Vassilevski, F.Liang. A multi‐scale model of the coronary circulation applied to investigate transmural myocardial flow. Int.J.Numer.Meth.Biomed.Engng., 2018, 34:e3123 pdf

K.Beklemysheva, G.Grigoriev, N.Kulberg, I.Petrov, A.Vasyukov, Yu.Vassilevski. Numerical simulation of aberrated medical ultrasound signals. Russian J. Numer. Anal. Math. Modelling, V.33, No.5, 277-288, 2018pdf

K.Nikitin, M.Olshanskii, K.Terekhov, Yu.Vassilevski. A splitting method for free surface flows over partially submerged obstacles. Russian J. Numer. Anal. Math. Modelling, V.33, No.2, 95-110, 2018 pdf

Саламатова В.Ю., Василевский Ю.В., Lin Wang. Конечно-элементные модели для гиперупругих материалов с использованием новой меры деформации. Дифференциальные уравнения, т.54, No. 7, с.988–995, 2018pdf
V.Salamatova, Lin Wang, Yu.Vassilevski. Finite Element Models of Hyperelastic Materials Based on a New Strain Measure. Differential Equations, 2018, Vol. 54, No. 7, pp. 971–978 pdf

A.Lozovskiy, M.Olshanskii, Y.Vassilevski. A quasi-Lagrangian finite element method for the Navier–Stokes equations in a time-dependent domain. Comput. Methods Appl. Mech. Engrg. V.333 55-73, 2018pdf

A.Chernyshenko, M.Olshanskii, Yu.Vassilevski. A hybrid finite volume – finite element method for bulk–surface coupled problems. J.Comp.Phys. V.352, 516-533, 2018pdf

Ф.В.Григорьев, И.В.Капырин, Ю.В.Василевский. Моделирование тепловой конвекции в пористых средах с учетом объемного тепловыделения в коде GeRa. Чебышевский сборник. Т.18, вып.3, с.234-253, 2017.
Grigoriev, F.V., Kapyrin, I.V., Vassilevski, Y.V. Modeling of thermal convection in porous media with volumetric heat source using the GeRa code. Chebyshevskii Sbornik 2017, 18(3), pp. 234-253 pdf

Гогниева Д.Г., Сыркин А.Л., Василевский Ю.В., Симаков С.С., Мелерзанов А.В., Fuyou L., Ломоносова А.А., Быкова А.А., Ел Манаа Х.Э., Копылов Ф.Ю. Неинвазивная оценка фракционного резерва коронарного кровотока с применением методики математического моделирования у пациентов с ишемической болезнью сердца. Кардиология. 2018;58(12):85-92.
Gognieva D.G., Syrkin A.L., Vassilevski Y.V., Simakov S.S., Melerzanov A.V., Fuyou L., Lomonosova A.A., Bykova A.A., El Manaa H.E., Kopylov P.Y. Noninvasive Assessment of Fractional Flow Reserve Using Mathematical Modeling of Coronary Flow. Kardiologiia. 2018;58(12):85-92. (In Russ.) pdf

Ю.В.Василевский, В.Ю.Саламатова. Об эллиптичности гиперупругих моделей, восстанавливаемых по экспериментальным данным. Современная математика. Фундаментальные направления. (Journal of Mathematical Sciences) том 63, №3, 504-515, 2017 pdf

Yu.Vassilevski, K.Beklemysheva, G.Grigoriev, N.Kulberg, I.Petrov, A.Vasyukov. Numerical modelling of medical ultrasound: phantom-based verification. Russian J. Numer. Anal. Math. Modelling, V.32, No.5, 339-346, 2017pdf

A.Danilov, A.Lozovskiy, M.Olshanskii, Yu.Vassilevski. A finite element method for the Navier-Stokes equations in moving domain with application to hemodynamics of the left ventricle. Russian J. Numer. Anal. Math. Modelling, V.32, No.4, 225-236, 2017pdf

Kramarenko V., Nikitin K., Vassilevski Yu.A finite volume scheme with improved well modeling in subsurface flow simulation. Comp.Geosciences, V.21, 2017,pp.1023-1033 pdf

Василевский Ю.В., Саламатова В.Ю., Лозовский А.В. О компактных формулах расчета деформаций мягких биологических тканей. Дифференциальные уравнения, том 53, No.7, 935–942, 2017 pdf Vassilevski Yu., Salamatova V., Lozovskii A. Concise formulas for strain analysis of soft biological tissues. Differential Equations, V.53, No.7, 908–915, 2017pdf

Danilov A., Yurova A., Stark M., Mynbaev O., Vassilevski Y. Towards a unified evidence-based cesarean section in the african continent the introduction of the all-african surgical database. Clin Obstet Gynecol Reprod Med, V.3, No.3, 1-4, 2017pdf

Буренчев Д.В., Копылов Ф.Ю., Быкова А.А., Гамилов Т.М., Гогниева Д.Г., Симаков С.С., Василевский Ю.В. Математическая модель прогнозирования кровотока в экстракраниальных отдеках брахиоцефальных артерий на предоперационном этапе каторидной эндартерэктомии.
Российский кардиологический журнал. 4 (144), 88-92, 2017pdf

Копылов Ф.Ю., Быкова А.А., Щекочихин Д.Ю., Елманаа Х.Э., Дзюндзя А.Н., Василевский Ю.В., Симаков С.С. Бессимптомный атеросклероз брахиоцефальных артерий — современные подходы к диагностике и лечению. Терапевтический архив. V.89, No.4, 95-100, 2017pdf

K.Nikitin, M.Olshanskii, K.Terekhov, Yu.Vassilevski, R.Yanbarisov. An adaptive numerical method for free surface flows passing rigidly mounted obstacles. Computers & fluids, V.148, 56-68, 2017 pdf

Konshin I., Olshanskii M., Vassilevski Yu. LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier–Stokes equations. Numer. Linear Algebra Appl. V.24, No.3, DOI: 10.1002/nla2085 pdf

Nikitin K., Novikov K., Vassilevski Yu. Nonlinear finite volume method with discrete maximum principle for the two-phase flow model. Lobachevskii Journal of Mathematics, V.37, No.5, p.570-581, 2016 pdf

С.С. Симаков, Т.М. Гамилов, Ф.Ю. Копылов, Ю.В. Василевский. Оценка гемодинамической значимости стеноза при множественном поражении коронарных сосудов с помощью математического моделирования. Бюллетень экспериментальной биологии и медицины, Т. 162, No.7, 128-132, 2016

Stark M., Mynbaev O., Vassilevski Yu., Rozenerg P. Could revision of the embryology influence our Cesarean delivery technique: towards an optimized Cesarean delivery for universal use. Am.J.Perinatol.Rep., V.6, 352-354, 2016 pdf

Beklemysheva K., Danilov A., Grigoriev G., Kazakov A., Kulberg N., Petrov I., Salamatova V., Vasyukov A., Vassilevski Yu. Transcranial ultrasound of cerebral vessels in silico: proof of concept. Russian J. Numer. Anal. Math. Modelling, V.31, No.5, p.317-328, 2016 pdf

Danilov A.A., Terekhov K.M., Konshin I.N., Vassilevski Y.V. Parallel software platform INMOST: a framework for numerical modeling. Supercomputing Frontiers and Innovations, V.2, No.4, p.55-66 doi:10.14529/jsfi150404, 2015 pdf

Bessonov N., Sequeira A., Simakov S., Vassilevski Yu., Volpert V. Methods of blood flow modelling. Math. Model. Nat. Phenom., V.11, No.1, p.1-25, 2016 pdf

Terekhov K., Nikitin K., Olshanskii M., Vassilevski Yu. A semi-Largangian method on dynamically adapted octree meshes. Russian J. Numer. Anal. Math. Modelling, V.30, No.6, p.363-380, 2015 pdf

Копылов Ф.Ю., Быкова А.А., Василевский Ю.В., Симаков С.С. Роль измерения фракционированного резерва кровотока при атеросклерозе коронарных артерий. Терапевтический архив, Т.87, No.9, с.106-113, 2015 (Role of measurement of fractional flow reserve in coronary artery atherosclerosis) pdf

Danilov A., Ivanov Yu., Pryamonosov R., Vassilevski Yu. Methods of graph network reconstruction in personalized medicine. Int.J.Numer.Meth.Biomed.Engng., V.32, No.8, e02754 doi:10.1002/cnm.2754, 2016 pdf

Lozovskiy A., Olshanskii M., Salamatova V., Vassilevski Yu. An unconditionally stable semi-implicit FSI finite element method. Comput.Methods Appl.Mech.Engrg., V.297, pp.437-454, 2015 pdf

Konshin I., Olshanskii M., Vassilevski Yu. ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier–Stokes Equations. SIAM J.Sci.Comp., V.37, No.5, pp.A2171-A2197, 2015 pdf

Beklemysheva K., Danilov A., Petrov I., Salamatova V., Vassilevski Yu., Vasyukov A. Virtual blunt injury of human thorax: age-dependent response of vascular system. Russian J. Numer. Anal. Math. Modelling, V.30, No.5, p.259-268, 2015 pdf

Vassilevski Yu., Salamatova V., Simakov S. On the elastisity of blood vessels in one-dimensional problems of hemodynamics. J. Computational Mathematics and Mathematical Physics, V.55, No.9, p.1567-1578, 2015 pdf

Vassilevski Yu., Danilov A., Gamilov T., Ivanov Yu., Pryamonosov R., Simakov S. Patient-specific anatomical models in human physiology. Russian J. Numer. Anal. Math. Modelling, V.30, No.3, p.185-201, 2015 pdf

Nikitin K., Olshanskii M., Terekhov K., Vassilevski Yu. A splitting method for numerical simulation of free surface flows of incompressible fluids with surface tension. Comput.Methods Appl.Math., V.15, No.1, p.59-78, 2015 pdf

Gamilov T.,  Ivanov Yu., Kopylov P., Simakov S., Vassilevski Yu. Patient specific haemodynamic modeling  after occlusion treatment in leg. Math. Model. Nat. Phenom., V.9, No.6, p.85-97, 2014 pdf

Капырин И.В., Уткин С.С., Василевский Ю.В. Концепция разработки и использования расчетного комплекса GeRa для обоснования безопасности пунктов захоронения радиоактивных отходов. Вопросы атомной науки и техники. Серия Математическое моделирование физических процессов. Вып.4, с.44-54, 2014

Nikitin K., Terekhov K., Vassilevski Yu. A monotone nonlinear finite volume method for diffusion equations and multiphase flows. Comp.Geosciences, V.18, No.3, p.311-324, 2014 pdf

Olshanskii M., Terekhov K., Vassilevski Yu.  An octree-based solver for the incompressible Navier-Stokes equations with enhanced stability and low dissipation. Computers & fluids, V.84, pp.231-246, 2013 pdf

Terekhov K.,  Vassilevski Yu. Two-phase water flooding simulations on dynamic adaptive octree grids with two-point nonlinear fluxes. Russian J. Numer. Anal. Math. Modelling, V.28, No.3, pp.267-288, 2013 pdf

Danilov A.A., Kramarenko V.K., Nikolaev D.V., Rudnev S.G., Salamatova V.Yu., Smirnov A.V., Vassilevski Yu.V. Sensitivity field distributions for segmental bioelectrical impedance analysis based on real human anatomy. J. Phys.: Conf. Series, 434: 012001, 2013. pdf

Lipnikov K., Svyatskiy D., Vassilevski Yu.  Anderson acceleration for nonlinear finite volume scheme for advection-diffusion problems. SIAM J.Sci.Comp., V.35, No.2, pp.1120-1136, 2013.

Danilov A., Nikolaev D., Rudnev S., Salamatova V., Vassilevski Yu. Modelling of bioimpedance measurements: unstructured mesh application to real human anatomy. Russian J. Numer. Anal. Math. Modelling, V.27, No.5, pp.431-440, 2012

Василевский Ю.В., Данилов А.А., Николаев Д.В., Руднев С.Г., Саламатова В.Ю., Смирнов А.В. Конечно-элементный анализ задач биоимпедансной диагностики. ЖВМ и МФ, V.52, No.4, 733-745, 2012pdf

Lipnikov K., Svyatskiy D., Vassilevski Yu. Minimal stencil  finite volume scheme with the discrete maximum principle. Russian J. Numer. Anal. Math. Modelling, V.27, No.4, pp.369-385, 2012. pdf

Agouzal A., Vassilevski Yu. On the $L^q$-saturation property for functions from $W^{2,p}(\Omega)$. Applied Mathematics Letters, V.25,  pp.2123-2127, 2012. pdf

Vassilevski Yu., Nikitin K., Olshanskii M., Terekhov K. CFD technology for 3D simulation of large-scale hydrodynamic events and disasters. Russian J. Numer. Anal. Math. Modelling, V.27, No.4, pp.399-412, 2012. pdf

Burdakov O., Kapyrin I., Vassilevski Yu. Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions. J.Comp.Phys., V.231,  pp.3126-3142, 2012. pdf

Danilov A., Salamatova V., Vassilevski Yu. Mesh generation and computational modeling techniques for bioimpedance measurements: an example using the VHP data. J.Phys.: Conf.Ser., V.407, 012004, 2012,  DOI: 10.1088/1742-6596/407/1/012004. pdf

Nikitin N., Olshanskii M., Terekhov K., Vassilevski Yu. A numerical  method for the simulation  of free surface flows of viscoplastic fluid  in 3D. J.Comp.Math., Vol.29, No.6, pp.605-622, 2011. pdf

Agouzal A., Lipnikov K., Vassilevski Yu. On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes. Mathematics and Computers in Simulation, V.81, No.10, pp.1949-1961, 2011. pdf

Agouzal A., Lipnikov K., Vassilevski Yu. Families of meshes minimizing $P_1$ interpolation error for functions with indefinite Hessian. Russian J. Numer. Anal. Math. Modelling, V.26, No.4, pp.337-352, 2011. pdf

Simakov S., Salamatova V., Ivanov Yu., Dobroserdova T., Vassilevski Yu. Vessel wall models for simulation of atherosclerotic vascular networks. Math. Model. Nat. Phenom., V.6, No.7, pp.82-99, 2011. pdf

Simakov S., Salamatova V., Ivanov Yu., Dobroserdova T., Vassilevski Yu. Blood flow simulation in atherosclerotic vascular network using fiber-spring representation of deseased wall. Math. Model. Nat. Phenom., V.6, No.5, pp.333-349, 2011. pdf

Vassilevski Yu., Simakov S., Salamatova V., Ivanov Yu., Dobroserdova T. Numerical issues of modelling blood flow in networks of vessels with pathologies. Russian J. Numer. Anal. Math. Modelling, V.26, No.6, pp.605-622, 2011. pdf

Bocharov G.,  Danilov A.,  Vassilevski Yu., Marchuk G., Chereshnev V., Ludewig B. Simulation of interferon-mediated protective field in lymphoid organs with their spatial and functional organization taken into consideration. Doklady Biological Sciences, V.439, pp.194-196, 2011. pdf

Бочаров Г.А., Данилов А.А., Василевский Ю.В., Марчук Г.И., Черешнев В.А., Людевиг Б. Моделирование защитного поля интерферона в лимфоидных органах с учетом их структурно-функциональной организации. ДАН, Физиология, 439(3), 413-415, 2011.

Bocharov G., Danilov A., Vassilevski Yu., Marchuk G., Chereshnev V., Ludewig B. Reaction-diffusion modelling of interferon distribution in secondary lymphoid organs. Math. Model. Nat. Phenom., V.6, No.7, pp.13-26, 2011. pdf

Agouzal A., Vassilevski Yu. Minimization of gradient errors of piecewise linear interpolation on simplicial meshes. Comp.Meth. Appl.Mech.Engnr., V.199,  pp.2195-2203, 2010. pdf

Nikitin K., Vassilevski Yu. A monotone nonlinear finite volume method for advection–diffusion equations on unstructured polyhedral meshes in 3D. Russian J. Numer. Anal. Math. Modelling, V.25, No.4, pp.335-358, 2010. pdf

Boursier I., Tromeur-Dervout D., Vassilevski Yu. Parallel solution of Mixed Finite Element/Spectral Element systems for convection-diffusion equations on non-matching grids. J.Applied Numerical Mathematics,  V.60, No.11, pp.1131-1147, 2010.

Lipnikov K., Svyatskiy D., Vassilevski Yu. A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes. J.Comp.Phys., V.229, pp.4017-4032, 2010. pdf

Agouzal A., Lipnikov K., Vassilevski Yu. Edge-based a posteriori error estimators for generating quasi-optimal simplicial meshes. Math. Model. Nat. Phenom., V.5, No.7, pp.91-96, 2010. pdf

Agouzal A., Lipnikov K., Vassilevski Yu. Hessian-free metric-based mesh adaptation via geometry of interpolation error. J. Computational Mathematics and Mathematical Physics, V.50, No.1, pp. 124-138, 2010 ЖВМиМФ,  50(1), 131-145, 2010

Agouzal A., Lipnikov K., Vassilevski Yu. On discrete boundaries and solution accuracy in anisotropic adaptive meshing. Engineering with Computers, 26, pp.281-288, 2010. pdf

Kapranov S., Simakov S., Vassilevski Yu. A multi-model approach to intravenous filter optimization. International Journal for Numerical Methods in Biomedical Engineering, V.26, pp.915-925, 2010. pdf

Agouzal A., Lipnikov K., Vassilevski Yu. Error estimates for a finite element solution of the diffusion equation based on composite norms. J.Numer.Math., Vol.17, No.2, pp.77-95, 2009. pdf

Danilov A., Vassilevski Yu. A monotone nonlinear finite volume method  for diffusion equations on conformal polyhedral meshes, Russian J. Numer. Anal. Math. Modelling, V.24, No.3, pp.207-227, 2009. pdf

Lipnikov K., Svyatskiy D., Vassilevski Yu. Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. J.Comp.Phys., V.228, No.3, pp.703-716, 2009. pdf

Nikitin K., Vassilevski Yu. Free surface flow modelling on dynamically refined hexahedral meshes. Russian J. Numer. Anal. Math. Modelling, V.23, pp.469-485, 2008. pdf

Vassilevski Yu.,   Kapyrin I. Two splitting schemes for nonstationary convection-diffusion problems on tetrahedral meshes, Comp.Math.Math.Physics, V.48, pp.1349-1366, 2008. pdf

Василевский Ю.В., Капырин И.В. Две схемы расщепления для нестационарной задачи конвекции-диффузии на тетраэдральных сетках, ЖВМиМФ, 48(8), 1-19, 2008

Lipnikov K., Shashkov M., Svyatskiy D., Vassilevski Yu. Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. J.Comp.Phys., V.227, pp.492-512, 2007. pdf

Olshanskii M., Vassilevski Yu. Pressure Schur complement preconditioners for the discrete Oseen problem. SIAM J.Sci.Comp., V.29, No.6, pp.2686-2704, 2007.

Hoppe R., Porta P., Vassilevski Yu. Computational issues related to the iterative coupling of subsurface and channel flows. Calcolo, V.44, pp.1-20, 2007. pdf

Tromeur-Dervout D., Vassilevski Yu. POD acceleration of fully implicit solver for unsteady nonlinear flows and its application on grid architecture. Advances in Engineering Software, V.38, pp.301-311, 2007. pdf

Василевский Ю.В., Липников К.Н. Использование методики восстановления гессиана при построении адаптивных сеток. Вопросы атомной науки и техники. Серия Математическое моделирование физических процессов. Вып.3, 37-53, 2006.

Tromeur-Dervout D., Vassilevski Yu. Choice of initial guess in iterative solution of  series of systems. J.Comp.Phys., V.219, pp.210-227, 2006. pdf

Chugunov V., Svyatski D., Tyrtyshnikov E., Vassilevski Yu. Parallel iterative multilevel solution of mixed finite element systems for scalar equations. Concurrency and Computation: Practice and Experience, Vol.18, No.5, pp. 501-518, 2006. pdf

Василевский Ю.В.,  Капранов С.А. Параллельное моделирование особенностей кровотока в окрестности кава-фильтра с захваченным тромбом. Математическое моделирование,  Т.17, No.11,  с.3-15, 2005

Dyadechko V., Lipnikov K., Vassilevski Yu. Hessian based anisotropic mesh adaptation in domains with discrete boundaries. Russ.J.Numer. Anal.Math.Modelling, V.20, No.4, pp.391-402, 2005. pdf

Василевский Ю.В.,  Агузал А. Объединенный ассимптотический анализ интерполяционных ошибок на оптимальных сетках. ДАН, Т.405, No.3, с.1-4, 2005

Agouzal A., Vassilevski Yu. An unified asymptotical analysis of interpolation errors for optimal meshes. Doklady Mathematics, V.72, No.3, pp.879-882, 2005. pdf

Василевский Ю.В., Липников К.Н. Оценки ошибки для управляемых адаптивных алгоритмов на основе восстановления гессиана. ЖВМ и МФ,  Т.45, No. 8, с.1424-1434, 2005

Vassilevski Yu., Lipnikov K. Error bounds    for controllable adaptive algorithms based on a Hessian recovery. J. Computational Mathematics and Mathematical Physics, V.45, No.8, pp. 1374-1384, 2005.

Lipnikov K., Vassilevski Yu. On control of adaptation in parallel mesh generation. Engineering with Computers, V.20, No.3, pp.193-201, 2004.

Vassilevski Yu. A hybrid domain decomposition method based on aggregation. Numer. Linear Algebra Appl., V.11, pp.327-341, 2004. pdf

Lacroix S., Vassilevski Yu., Wheeler M., Wheeler J. Iterative solution methods for modeling multiphase flow in porous media fully implicitly. SIAM J.Sci.Comp., V.25, No.3, pp.905-926, 2003.

Lipnikov K., Vassilevski Yu. Parallel adaptive solution of 3D boundary value problems by Hessian recovery. Comp.Methods Appl.Mech.Engnr., V.192, No.11-12, pp.1495-1513, 2003. pdf

Василевский Ю.В., Липников К.Н. Оптимальные триангуляции: существование, аппроксимация и двойное дифференцирование $P_1$ конечно-элементных функций. ЖВМ и МФ, V.43, No.6, pp.866-874, 2003

Vassilevski Yu., Lipnikov K. Optimal Triangulations: Existence, Approximation and Double Differentiation of $P_1$ finite element functions. J. Computational Mathematics and Mathematical Physics, V.43, No.6, pp.827-835, 2003.pdf

Chugunov V., Vassilevski Yu. Parallel multilevel data structures for a non-conforming finite element problem on unstructured meshes. Russ.J.Numer.Anal.Math.Modelling, V.18, No.1, pp.1-11, 2003. pdf

Agouzal A., Vassilevski Yu. On a discrete Hessian recovery for $P_1$ finite elements. Journal of Numer.Math., V.10 No.1 pp.1-12, 2002. pdf

Lacroix S., Vassilevski Yu., Wheeler M. Decoupling preconditioners in the Implicit Parallel Accurate Reservoir Simulator (IPARS). Numer. Linear Algebra Appl., V.8, No.8, pp.537-549, 2001. pdf

Garbey M., Vassilevski Yu. A parallel solver for unsteady incompressible 3D Navier-Stokes equations. Parallel Computing, V.27, No.4, pp.363-389, 2001. pdf

Garbey M., Kuznetsov Yu., Vassilevski Yu. Parallel Schwarz method for a convection-diffusion problem. SIAM J.Sci.Comp., V.22, No.3, pp.891-916, 2000

Agouzal A., Lipnikov K., Vassilevski Yu. Adaptive generation of quasi-optimal tetrahedral meshes. East-West J. Numer. Math., V.7, No.4, pp.223-244, 1999. pdf

Василевский Ю.В., Липников К.Н. Адаптивный алгоритм построения квазиоптимальных сеток. ЖВМ и МФ,      Т.39, No.9,  с.1532-1551, 1999

Vassilevski Yu., Lipnikov K. An adaptive algorithm for quasioptimal mesh generation. Computational Mathematics and Mathematical Physics, V.39, No.9, pp.1468-1486, 1999.

Hoppe R., Iliash Yu., Kuznetsov Yu., Vassilevski Yu., Wohlmuth B. Analysis and parallel implementation  of adaptive mortar element methods. East-West J. Numer. Math., V.6, No.3, pp.223-248, 1998. pdf

Dyadechko V., Iliash Yu., Vassilevski Yu. Structuring preconditioners for unstructured meshes. Russ.J.Numer.Anal.Math.Modelling, V.11, No.2, pp.139-154, 1996. pdf

Vassilevski Yu. Domain decomposition methods and averaging operators for the case of multidomain splitting. Russ.J.Numer.Anal.Math.Modelling, V.10, No.2, pp.141-148, 1995.

Vassilevski Yu. On application of global coarse space for two-level domain decomposition method in the case of a large number of subdomains. Russ.J.Numer.Anal.Math.Modelling, V.8, No.1, pp.59-82, 1993.

OTHER PUBLICATIONS

Terekhov K., Vassilevski Yu. Mesh modification and adaptation within INMOST programming platform. In: V.A. Garanzha et al. (eds.), Numerical Geometry, Grid Generation and Scientific Computing, Lecture Notes in Computational Science and Engineering 131, Springer Nature Switzerland AG 2019, Pages 243-255 pdf

Terekhov K., Vassilevski Yu. INMOST Parallel Platform for Mathematical Modeling and Applications. In: Fourth Russian Supercomputing Days, RuSCDays 2018. Vol. 965 of Communications in Computer and Information Science, Springer, 2018, Chapter 20 pdf

Konshin I.N., Olshanskii M.A., Vassilevski Y.V. (2019) An Algebraic Solver for the Oseen Problem with Application to Hemodynamics. In: Chetverushkin B., Fitzgibbon W., Kuznetsov Y., Neittaanmäki P., Periaux J., Pironneau O. (eds) Contributions to Partial Differential Equations and Applications. Computational Methods in Applied Sciences, vol 47. Springer, Cham, p.339-357 pdf

Danilov A., Rudnev S., Vassilevski Yu. Numerical Basics of Bioimpedance Measurements. In: Bioimpedance in Biomedical Applications and Research (eds. F.Simini and P.Bertemes-Filho), Springer International Publishing, 2018, 117-135.pdf

Kramarenko V., Nikitin K., Vassilevski Y. A Nonlinear Correction FV Scheme for Near-Well Regions. In: Finite Volumes for Complex Applications VIII—Hyperbolic, Elliptic and Parabolic Problems, C. Cancès and P. Omnes (eds.), 2017, Springer Proceedings in Mathematics & Statistics 200, 507-516 pdf

Chernyshenko A., Olshahskii M., Vassilevski Y. A hybrid finite volume—Finite element method for modeling flows in fractured media. In: Finite Volumes for Complex Applications VIII—Hyperbolic, Elliptic and Parabolic Problems, C. Cancès and P. Omnes (eds.), 2017, Springer Proceedings in Mathematics & Statistics 200, 527-535 pdf

Ge X., Liang F., Vassilevski Yu., Simakov S. Sensitivity of coronary flow reserve to cardiovascular parameters: A computational model-based study. In: IEEE-EMBS CONFERENCE ON BIOMEDICAL ENGINEERING AND SCIENCES (IECBES), 32-35, 2018pdf

Kramarenko V., Konshin I., Vassilevski Y. Ani3D-extension of parallel platform INMOST and hydrodynamic applications. In: Third Russian Supercomputing Days, RuSCDays 2017 (September 25-26, 2017, Moscow, Russia). Vol. 793 of Communications in Computer and Information Science, Springer, 2017, pp. 219-228 pdf

Vassilevski Yu., Gamilov T., Kopylov P. Personalized computation of fractional flow reserve. Proceedings of the 5th International Conference on Computational and Mathematical Biomedical Engineering, CMBE 2017, Pittsburgh, USA, 10-12 April, 2017. Ed. P. Nithiarasu, A.M. Robertson, Vol. 1, p. 10.

Vassilevski Yu., Gamilov T., Kopylov P. Pesonalized Computation of Fractional Flow Reserve in Case of Two Consecutive Stenoses. Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2016, Crete, Greece, 5-10 June, 2016. Ed. M. Papadrakakis, V. Papadopoulos, G. Stefanou, V. Plevris, Vol. 1, pp. 90-97 pdf

Vassilevski Yu., Danilov A., Ivanov Yu., Simakov S., Gamilov T. Personalized anatomical meshing of the human body with applications. In: Modeling the Heart and the Circulatory System, Quarteroni A. (ed.), MS&A 14, Springer International Publishing Switzerland, pp.221-236, 2015pdf

Danilov A., Nikitin K., Olshanskii M., Terekhov K., Vassilevski Yu. A unified approach for computing tsunami, waves, floods, and landslides. In: Numerical Mathematics and Advanced Applications, Abdulle A. et al (eds.), LNCSE, V.103, Springer, 2014.

Dobroserdova T., Vassilevski Yu., Simakov S., Olshanskii M., Salamatova V., Gamilov T., Ivanov Yu., Kramarenko V. The Model of Global Blood Circulation and Applications. I. Lackovic and D.Vasic (eds.) 6th European Conference of the International Federation for Medical and Biological Engineering, IFMBE Proceedings 45, Springer International Publishing Switzerland 2015, pp.403-406pdf

Kapyrin I., Nikitin K., Terekhov K., Vassilevski Yu. Nonlinear Monotone FV Schemes for Radionuclide Geomigration and Multiphase Flow Models. In: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer International Publishing, pp.655-663, 2014 pdf

Chernyshenko A., Vassilevski Yu. A Finite Volume Scheme with the Discrete Maximum Principle for Diffusion Equations on Polyhedral Meshes. In: Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects.  Springer International Publishing,  pp.197-205, 2014.pdf

Nikitin K., Terekhov K., Vassilevski Yu. Multiphase Flows-Nonlinear Monotone FV Scheme and Dynamic Grids. Proceedings of ECMOR XIV European conference on the mathematics of oil recovery. EAGE 2014.pdf

Agouzal A., Lipnikov K., Vassilevski Yu. Families of meshes minimizing interpolation error. Proceedings of the 20th International Meshing Roundtable,  W.R.Quadros (Ed.), Springer Berlin Heidelberg,  pp.313-327, 2012

Nikitin K., Vassilevski Yu. A monotone nonlinear finite volume method for advection-diffusion equations and multiphase flows. Proceedings of ECMOR XIII European conference on the mathematics of oil recovery, EAGE 2012, 20p.pdf

Nikitin K., Olshanskii M., Terekhov K., Vassilevski Yu. Numerical modelling of viscoplastic free surface flows in complex 3D geometries. Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering,  Vienna, Austria: Vienna Technical University, 2012

Vassilevski Yu., Kapyrin I., Danilov A.,  Nikitin K. Application of nonlinear monotone finite volume schemes to advection-diffusion problems. Finite Volumes for Complex Applications VI – Problems & Perspectives, Vol.1,  761-769, 2011.

Danilov A.,  Vassilevski Yu. Benchmark 3D: A monotone nonlinear finite volume method for diffusion equations on polyhedral meshes. Finite Volumes for Complex Applications VI – Problems & Perspectives, Vol. 2, 193-203, 2011.

Данилов А.А., Саламатова В.Ю., Василевский Ю.В., Смирнов А.В., Руднев С.Г., Николаев Д.В. Математическое моделирование биоимпедансных измерений.  Применение к задаче оценки гидратации лёгких. Материалы 13-й научно-практической конференции “Диагностика и лечение нарушений регуляции сердечно-сосудистой системы (Москва, Главный клинический госпиталь МВД России, 23 марта 2011 г.). М.: ГКГ МВД, 2011. С.150-162.

Николаев Д.В., Василевский Ю.В., Данилов А.А., Ерюкова Т.А., Колесников В.А., Руднев С.Г., Саламатова В.Ю., Смирнов А.В. Моделирование биоимпедансных измерений организма человека. Материалы 6-й международной научной школы «Наука и инновации-2011» (18-24 июля 2011 г). Йошкар-Ола: МарГУ, 2011. С.301-308.

Agouzal A., Lipnikov K., Vassilevski Yu. Adaptive solution of PDEs on anisotropic triangular meshes. AIP (American Institute of Physics) Conference Proceedings,  V.1281, pp. 1558-1561, 2010

Danilov A., Lipnikov K., Vassilevski Yu. Unstructured 3D mesh generation and adaptation technologies in package Ani3D. Численная геометрия, построение расчетных сеток и высокопроизводительные вычисления, М: ВЦ РАН, 2010, 17-24. Numerical geometry, grid generation and scientific computing, Moscow, Computing Center RAS.

Nikitin K., Olshanskii M., Terekhov K., Vassilevski Yu. Preserving distance property of level set function and simulation of free surface flows  on adaptive grids. Численная геометрия, построение расчетных сеток и высокопроизводительные вычисления, М: ВЦ РАН, 2010, 25-32. Numerical geometry, grid generation and scientific computing, Moscow, Computing Center RAS.

Agouzal A., Lipnikov K., Vassilevski Yu. Anisotropic mesh adaptation for solution of finite element problems using hierarchical edge-based error estimates. Proceedings of 18th International Meshing Roundtable (B.W. Clark Editor), Springer, 2009, pp.595-610.

Agouzal A., Lipnikov K., Vassilevski Yu. Edge-based a posteriori error estimators for generation of $d$-dimensional quasi-optimal meshes. Proceedings of 3d Int.Conf. MAMERN, Pau,France (Eds.B.Amaziane et al.), Granada (Spain): University of Granada, 2009, V.1, pp.71-76.

Василевский Ю.В., Данилов А.А. Взаимодействие с САПР при построении расчетных сеток в сложных областях. Труды математического общества им. Н.И.Лобачевского. – Казань: Казан.матем.об-во, 2009, стр.5-12.

Agouzal A., Lipnikov K., Vassilevski Yu. Metric tensors for generation of optimal meshes. Proceedings of Int.conf. NUMGRID-2008, Computing center RAS, Moscow, p.264-271

Lipnikov K., Vassilevski Yu. Metric based mesh adaptation in ALE simulation. Proceedings of West-East High Speed Flow Field Conference, 2007 pdf

Agouzal A., Lipnikov K., Vassilevski Yu. Generation of quasi-optimal meshes based on a posteriori error estimates. Proceedings of 16th International Meshing Roundtable}, WA. M.Brewer, D.Marcum (Editors), Springer,  pp.139-148, 2007

Lipnikov K., Vassilevski Yu. Analysis of Hessian recovery methods for generating adaptive meshes. Proceedings of 15th International Meshing Roundtable, P.Pebay (Editor), Springer, Berlin, Heidelberg, New York, pp.163-171, 2006

Lipnikov K., Vassilevski Yu. Applications of the discrete Hessian recovery methodology in adaptive mesh generation. Proc. of Int.Conf.  Advances in Numerical Mathematics (Moscow, September 16-17, 2005), Moscow, Institute of Numerical Mathematics; Houston, Department of Mathematics, University of Houston; pp.167-182, 2006

Lipnikov K., Vassilevski Yu. Metric-based control of mesh adaptation in arbitrary Lagrangian Eulerian simulations. Los Alamos Report LAUR-06-4765, 2006

Василевский Ю., Ильин В.,  Тыртышников Е. Вычислительные технологии. Современные проблемы вычислительной математики и математического моделирования, Т.1, М.: Наука, с.100-148, 2005

Boursier I., Tromeur-Dervout D., Vassilevski Yu. Aitken-Schwarz methods with non matching finite elements and spectral elements grids for the parallel simulation of an underground waste disposal site modelized by upscaling. Proceedings of Int.Conf. ParCFD 2004, G.Winter et al. (Editors), Elsevier Science, pp.69-76, 2005

Lipnikov K., Vassilevski Yu. On discrete boundaries and solution accuracy in anisotropic adaptive meshing. Proceedings of 14th International Meshing Roundtable, B.Hanks (Editor), Springer, Berlin, Heidelberg, New York, pp.313-324, 2005

Lipnikov K., Vassilevski Yu. Error estimates for Hessian-based mesh adaptation algorithms with control of adaptivity. Proceedings of 13th International Meshing Roundtable, Sandia National Laboratories, pp.345-351, 2004

Lipnikov K., Vassilevski Yu. On a parallel algorithm for controlled Hessian-based mesh adaptation. Proceedings of 3d Conf. Appl.Geometry, Mesh Generation and High Performance Computing, Moscow,  Comp.Center RAS, V.1, pp.155-166, 2004

Hoppe R., Petrova S., Vassilevski Yu. Adaptive grid refinement for computation of the homogenized elasticity tensor. In: Proceedings of 4th Intern. Conf. on Large-Scale Sci. Comput. LSSC-03,   Lect.Notes Comput.Sci., V.2907, pp.371-378, Springer, 2004

Chugunov V., Vassilevski Yu. An algorithm for generation of a conformal quasi-hierarchical triangulation subject to a set of constraints. Proceedings of 3d Conf. Appl.Geometry, Mesh Generation and High Performance Computing, Moscow, Comp.Center RAS, V.2, pp.28-39, 2004

Achdou Y., Jaffre J., Svyatski D., Vassilevski Yu. Numerical simulation of unsteady 3D flows on anisotropic grids. Transactions of French-Russian Liapounov Institute for Applied Mathematics and Computer Science, V.4, Moscow, pp.107-124, 2003

Lipnikov K., Vassilevski Yu. Parallel adaptive solution of the Stokes and Oseen problems on unstructured 3D meshes. Proceedings of Int.Conf. ParCFD 2003, Elsevier, pp.153-162, 2004

Vassilvski Yu. A Parallel CG Solver Based on Domain Decomposition and Non-Smooth Aggregation. Conjugate Gradient Algorithms and Finite Element Methods, (Proceedings of Int.Conf. 50 years of CG), Springer-Verlag, Berlin Heidelberg, pp.93-102, 2004.

Tyrtyshnikov E., Vassilevski Yu. A Mosaic Preconditioner for a Dual Schur Complement.
Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2001, Springer-Verlag Italia, Milano, pp.867-880, 2003

Vassilevski Yu. A parallel interface preconditioner for the mortar element method in case of jumping coefficients. Domain Decomposition Methods in Sciences and Engineering, 231-240, DDM.org, 2001.

Kuznetsov Yu., Vassilevski Yu. An interface preconditioner for the mortar element method.
Numerical Mathematics and Advanced Applications, Proceedings of  ENUMATH 1999, World Scientific Publishing Co., Singapore, pp.753-761, 2000

Василевский Ю.В. Методы решения краевых задач с использованием нестыкующихся сеток. Тр. Матем. центра им. Н.И.Лобачевского, Т.2. Итерационные методы решения линейных и нелинейных сеточных задач. – Казань: УНИПРЕСС, 1999,   с.94-121.

Garbey M., Kuznetsov Yu., Vassilevski Yu. Parallel Schwarz method for convection-diffusion constituent of the Navier-Stokes solver. Proceedings of 10th Parallel CFD-98 Conf.,  North-Holland publisher, pp. 191-198, 1998

Garbey M., Kuznetsov Yu., Vassilevski Yu. On Parallel Solution of Singularly Perturbed Convection-Diffusion Problems. Proceedings of the 3d  ECCOMAS Conference on Numerical Methods in Engineering, John Wiley & Sons, V.2, pp.245-250,  1998

Engelmann B.,Hoppe R., Iliash Yu., Kuznetsov Yu., Vassilevski Yu., Wohlmuth B. Adaptive finite element methods for domain decomposition on nonmatching grids. Parallel Solution of PDEs, IMA Volume in Mathematics and its Applications, V.120, Springer, Berlin-Heidelberg-New York, pp.57–86,  1999

Engelmann B.,Hoppe R., Iliash Yu., Kuznetsov Yu., Vassilevski Yu., Wohlmuth B. Adaptive macro-hybrid finite element methods. Proc. 2nd European Conference on numerical Methods (ENUMATH), World Scientific, Singapore, 1998

Dyadechko V., Iliash Yu., Tkhir A., Vassilevski Yu. Parallel preconditioning on nonmatching unstructured grids. Proceedings of 4th Fr.-Rus.-It.-Uzb. Symposium on num.anal. and applications, Marseilles, 1997

Kuznetsov Yu., Iliash Yu., Vassilevski Yu. On  application of strengthened AMG for partially unstructured meshes to unsteady fully potential flow problem with moving boundaries. Experimentation, Modelling and Computation in Flow, Turbulence and Combustion, V.2, John Wiley&Sons, pp.71-86, 1997

Kuznetsov Yu., Iliash Yu., Vassilevski Yu. Efficient parallel solving the potential flow problems on nonmatching grids. Numerical Methods in Engineering.  Proceedings of the Second ECCOMAS Conference on Numerical Methods in Engineering, John Wiley & Sons, pp.469-475, 1996