A Parallel Schwarz Method for a Convection-Diffusion Problem. - Marc Garbey; Yuri A. Kuznetsov; Yuri V. Vassilevski (SIAM J. Sci. Comput., 2000)

Decoupling preconditioners in the implicit parallel accurate reservoir simulator (IPARS). - Sébastien Lacroix; Yuri V. Vassilevski; Mary F. Wheeler (Numer. Linear Algebra Appl., 2001)

A parallel solver for unsteady incompressible 3D Navier-Stokes equations. - Marc Garbey; Yuri V. Vassilevski (Parallel Comput., 2001)

On a discrete Hessian recovery for P 1 finite elements. - Abdellatif Agouzal; Yuri V. Vassilevski (J. Num. Math., 2002)

Adaptive Grid Refinement for Computation of the Homogenized Elasticity Tensor. - Ronald H. W. Hoppe; Svetozara Petrova; Yuri V. Vassilevski (LSSC, 2003)

Iterative Solution Methods for Modeling Multiphase Flow in Porous Media Fully Implicitly. - Sébastien Lacroix; Yuri V. Vassilevski; John Wheeler; Mary F. Wheeler (SIAM J. Sci. Comput., 2003)

Error Estimates for Hessian-Based Mesh Adaptation Algorithms with Control of Adaptivity. - Konstantin Lipnikov; Yuri V. Vassilevski (IMR, 2004)

On control of adaptation in parallel mesh generation. - Konstantin Lipnikov; Yuri V. Vassilevski (Eng. Comput., 2004)

A hybrid domain decomposition method based on aggregation. - Yuri V. Vassilevski (Numer. Linear Algebra Appl., 2004)

Analysis of Hessian Recovery Methods for Generating Adaptive Meshes. - Konstantin Lipnikov; Yuri V. Vassilevski (IMR, 2006)

Parallel iterative multilevel solution of mixed finite element systems for scalar equations. - Vadim N. Chugunov; Daniil Svyatskiy; Eugene Tyrtyshnikov; Yuri V. Vassilevski (Concurr. Comput. Pract. Exp., 2006)

Choice of initial guess in iterative solution of series of systems arising in fluid flow simulations. - Damien Tromeur-Dervout; Yuri V. Vassilevski (J. Comput. Phys., 2006)

Generation of Quasi-Optimal Meshes Based on a Posteriori Error Estimates. - Abdellatif Agouzal; Konstantin Lipnikov; Yuri V. Vassilevski (IMR, 2007)

POD acceleration of fully implicit solver for unsteady nonlinear flows and its application on grid architecture. - Damien Tromeur-Dervout; Yuri V. Vassilevski (Adv. Eng. Softw., 2007)

Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. - Konstantin Lipnikov; Mikhail J. Shashkov; Daniil Svyatskiy; Yuri V. Vassilevski (J. Comput. Phys., 2007)

Pressure Schur Complement Preconditioners for the Discrete Oseen Problem. - Maxim A. Olshanskii; Yuri V. Vassilevski (SIAM J. Sci. Comput., 2007)

Anisotropic Mesh Adaptation for Solution of Finite Element Problems Using Hierarchical Edge-Based Error Estimates. - Abdellatif Agouzal; Konstantin Lipnikov; Yuri V. Vassilevski (IMR, 2009)

Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. - Konstantin Lipnikov; Daniil Svyatskiy; Yuri V. Vassilevski (J. Comput. Phys., 2009)

Error estimates for a finite element solution of the diffusion equation based on composite norms. - Abdellatif Agouzal; Konstantin Lipnikov; Yuri V. Vassilevski (J. Num. Math., 2009)

On discrete boundaries and solution accuracy in anisotropic adaptive meshing. - Konstantin Lipnikov; Yuri V. Vassilevski (Eng. Comput., 2010)

A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes. - Konstantin Lipnikov; Daniil Svyatskiy; Yuri V. Vassilevski (J. Comput. Phys., 2010)

Families of Meshes Minimizing P 1 Interpolation Error. - Abdellatif Agouzal; Konstantin Lipnikov; Yuri V. Vassilevski (IMR, 2011)

On optimal convergence rate of finite element solutions of boundary value problems on adaptive anisotropic meshes. - Abdellatif Agouzal; Konstantin Lipnikov; Yuri V. Vassilevski (Math. Comput. Simul., 2011)

On the Lq-saturation property for functions from w2, p(Ω). - Abdellatif Agouzal; Yuri V. Vassilevski (Appl. Math. Lett., 2012)

Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions. - Oleg Burdakov; Ivan Kapyrin; Yuri V. Vassilevski (J. Comput. Phys., 2012)

A Unified Approach for Computing Tsunami, Waves, Floods, and Landslides. - Alexander A. Danilov; Kirill D. Nikitin; Maxim A. Olshanskii; Kirill M. Terekhov; Yuri V. Vassilevski (ENUMATH, 2013)

Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems. - Konstantin Lipnikov; Daniil Svyatskiy; Yuri V. Vassilevski (SIAM J. Sci. Comput., 2013)

A Splitting Method for Numerical Simulation of Free Surface Flows of Incompressible Fluids with Surface Tension. - Kirill D. Nikitin; Maxim A. Olshanskii; Kirill M. Terekhov; Yuri V. Vassilevski (Comput. Methods Appl. Math., 2015)

ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier-Stokes Equations. - Igor N. Konshin; Maxim A. Olshanskii; Yuri V. Vassilevski (SIAM J. Sci. Comput., 2015)

Parallel software platform INMOST: a framework for numerical modeling. - Alexander A. Danilov; Kirill M. Terekhov; Igor N. Konshin; Yuri V. Vassilevski (Supercomput. Front. Innov., 2015)

Ani3D-Extension of Parallel Platform INMOST and Hydrodynamic Applications. - Vasily K. Kramarenko; Igor N. Konshin; Yuri V. Vassilevski (RuSCDays, 2017)

LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations. - Igor N. Konshin; Maxim A. Olshanskii; Yuri V. Vassilevski (Numer. Linear Algebra Appl., 2017)

INMOST Parallel Platform for Mathematical Modeling and Applications. - Kirill M. Terekhov; Yuri V. Vassilevski (RuSCDays, 2018)

Two methods of surface tension treatment in free surface flow simulations. - Kirill D. Nikitin; Kirill M. Terekhov; Yuri V. Vassilevski (Appl. Math. Lett., 2018)

A hybrid finite volume - finite element method for bulk-surface coupled problems. - Alexey Y. Chernyshenko; Maxim A. Olshanskii; Yuri V. Vassilevski (J. Comput. Phys., 2018)

Multiscale models of blood flow in the compliant aortic bifurcation. - Tatyana Dobroserdova; Fuyou Liang; Grigory Panasenko; Yuri V. Vassilevski (Appl. Math. Lett., 2019)

Finite volume method for coupled subsurface flow problems, I: Darcy problem. - Kirill M. Terekhov; Yuri V. Vassilevski (J. Comput. Phys., 2019)

Parallel BIILU2-Based Iterative Solution of Linear Systems in Reservoir Simulation: Do Optimal Parameters Exist? - Igor N. Konshin; Kirill D. Nikitin; Kirill M. Terekhov; Yuri V. Vassilevski (RuSCDays, 2020)

INMOST Platform for Parallel Multi-physics Applications: Multi-phase Flow in Porous Media and Blood Flow Coagulation. - Kirill M. Terekhov; Kirill D. Nikitin; Yuri V. Vassilevski (RuSCDays, 2020)

A monolithic fluid-porous structure interaction finite element method. - Alexander Lozovskiy; Maxim A. Olshanskii; Yuri V. Vassilevski (CoRR, 2021)

Automatic detection of attachment sites for knee ligaments and tendons on CT images. - Alexandra S. Yurova; Victoria Salamatova; Alexey Lychagin; Yuri V. Vassilevski (Int. J. Comput. Assist. Radiol. Surg., 2022)

Comparison of algorithms for estimating blood flow velocities in cerebral arteries based on the transport information of contrast agent: An in silico study. - Qiyuan Wu; Yuri V. Vassilevski; Sergey Simakov; Fuyou Liang (Comput. Biol. Medicine, 2022)

Finite volume method for coupled subsurface flow problems, II: Poroelasticity. - Kirill M. Terekhov; Yuri V. Vassilevski (J. Comput. Phys., 2022)

Automated personalization of biomechanical knee model. - Alexandra S. Yurova; Alexey Lychagin; Eugene Kalinsky; Yuri V. Vassilevski; Mikhail Elizarov; Andrey Garkavi (Int. J. Comput. Assist. Radiol. Surg., 2024)