An iterative solver for the Oseen problem and numerical solution of incompressible Navier-Stokes equations. - Maxim A. Olshanskii (Numer. Linear Algebra Appl., 1999)

On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems. - Maxim A. Olshanskii; Arnold Reusken (Computing, 2000)

Effective preconditioning of Uzawa type schemes for a generalized Stokes problem. - Georgij M. Kobelkov; Maxim A. Olshanskii (Numerische Mathematik, 2000)

Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem. - Maxim A. Olshanskii; Arnold Reusken (SIAM J. Sci. Comput., 2002)

Grad-div stablilization for Stokes equations. - Maxim A. Olshanskii; Arnold Reusken (Math. Comput., 2004)

Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem. - Maxim A. Olshanskii; Arnold Reusken (SIAM J. Numer. Anal., 2004)

Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations. - Maxim A. Olshanskii; Jörg Peters 004; Arnold Reusken (Numerische Mathematik, 2006)

Analysis of a Stokes interface problem. - Maxim A. Olshanskii; Arnold Reusken (Numerische Mathematik, 2006)

An Augmented Lagrangian-Based Approach to the Oseen Problem. - Michele Benzi; Maxim A. Olshanskii (SIAM J. Sci. Comput., 2006)

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

An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability. - Maxim A. Olshanskii; Michele Benzi (SIAM J. Sci. Comput., 2008)

On the accuracy of the rotation form in simulations of the Navier-Stokes equations. - William J. Layton; Carolina C. Manica; Monika Neda; Maxim A. Olshanskii; Leo G. Rebholz (J. Comput. Phys., 2009)

A Finite Element Method for Elliptic Equations on Surfaces. - Maxim A. Olshanskii; Arnold Reusken; Jörg Grande (SIAM J. Numer. Anal., 2009)

An Iterative Method for the Stokes-Type Problem with Variable Viscosity. - Piotr P. Grinevich; Maxim A. Olshanskii (SIAM J. Sci. Comput., 2009)

Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations. - Maxim A. Olshanskii; Leo G. Rebholz (J. Comput. Phys., 2010)

A finite element method for surface PDEs: matrix properties. - Maxim A. Olshanskii; Arnold Reusken (Numerische Mathematik, 2010)

Acquired Clustering Properties and Solution of Certain Saddle Point Systems. - Maxim A. Olshanskii; Valeria Simoncini (SIAM J. Matrix Anal. Appl., 2010)

On an Efficient Finite Element Method for Navier-Stokes-ω with Strong Mass Conservation. - Carolina C. Manica; Monika Neda; Maxim A. Olshanskii; Leo G. Rebholz; Nicholas E. Wilson (Comput. Methods Appl. Math., 2011)

Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier-Stokes Problem. - Michele Benzi; Maxim A. Olshanskii (SIAM J. Numer. Anal., 2011)

On Error Analysis for the 3D Navier-Stokes Equations in Velocity-Vorticity-Helicity Form. - Hyesuk K. Lee; Maxim A. Olshanskii; Leo G. Rebholz (SIAM J. Numer. Anal., 2011)

On surface meshes induced by level set functions. - Maxim A. Olshanskii; Arnold Reusken; Xianmin Xu (Comput. Vis. Sci., 2012)

Multigrid analysis for the time dependent Stokes problem. - Maxim A. Olshanskii (Math. Comput., 2012)

An Adaptive Surface Finite Element Method Based on Volume Meshes. - Alan Demlow; Maxim A. Olshanskii (SIAM J. Numer. Anal., 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)

Iterative Methods for Linear Systems - Theory and Applications. - Maxim A. Olshanskii; Evgenii Evgenvich Tyrtyshnikov (SIAM, 2014)

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces. - Maxim A. Olshanskii; Arnold Reusken (SIAM J. Numer. Anal., 2014)

An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces. - Maxim A. Olshanskii; Arnold Reusken; Xianmin Xu (SIAM J. Numer. Anal., 2014)

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)

A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces. - Maxim A. Olshanskii; Danil Safin (Math. Comput., 2016)

Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems. - Sven Groß; Thomas Ludescher; Maxim A. Olshanskii; Arnold Reusken (SIAM J. Sci. Comput., 2016)

On conservation laws of Navier-Stokes Galerkin discretizations. - Sergey Charnyi; Timo Heister; Maxim A. Olshanskii; Leo G. Rebholz (J. Comput. Phys., 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)

Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations. - Timo Heister; Maxim A. Olshanskii; Leo G. Rebholz (Numerische Mathematik, 2017)

A Trace Finite Element Method for PDEs on Evolving Surfaces. - Maxim A. Olshanskii; Xianmin Xu (SIAM J. Sci. Comput., 2017)

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)

Inf-sup stability of geometrically unfitted Stokes finite elements. - Johnny Guzmán; Maxim A. Olshanskii (Math. Comput., 2018)

A Trace Finite Element Method for Vector-Laplacians on Surfaces. - Sven Gross; Thomas Jankuhn; Maxim A. Olshanskii; Arnold Reusken (SIAM J. Numer. Anal., 2018)

A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces. - Christoph Lehrenfeld; Maxim A. Olshanskii; Xianmin Xu (SIAM J. Numer. Anal., 2018)

A Finite Element Method for the Surface Stokes Problem. - Maxim A. Olshanskii; Annalisa Quaini; Arnold Reusken; Vladimir Yushutin (SIAM J. Sci. Comput., 2018)

Numerical modelling of phase separation on dynamic surfaces. - Vladimir Yushutin; Annalisa Quaini; Maxim A. Olshanskii (CoRR, 2019)

A higher order approximate static condensation method for multi-material diffusion problems. - Alexander Z. Zinchenko; Daniil Svyatskiy; Maxim A. Olshanskii; Evgeny Kikinzon; Mikhail J. Shashkov (J. Comput. Phys., 2019)

Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation. - Maxim A. Olshanskii; Leo G. Rebholz (CoRR, 2020)

Error analysis of higher order trace finite element methods for the surface Stokes equations. - Thomas Jankuhn; Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (CoRR, 2020)

Experimental validation of a phase-field model to predict coarsening dynamics of lipid domains in multicomponent membranes. - Alexander Zhiliakov; Yifei Wang; Annalisa Quaini; Maxim A. Olshanskii; Sheereen Majd (CoRR, 2020)

An unfitted finite element method for the Darcy problem in a fracture network. - Alexey Y. Chernyshenko; Maxim A. Olshanskii (J. Comput. Appl. Math., 2020)

Numerical modeling of phase separation on dynamic surfaces. - Vladimir Yushutin; Annalisa Quaini; Maxim A. Olshanskii (J. Comput. Phys., 2020)

New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem. - Ernesto Cáceres; Johnny Guzmán; Maxim A. Olshanskii (SIAM J. Numer. Anal., 2020)

A finite element method for Allen-Cahn equation on deforming surface. - Maxim A. Olshanskii; Xianmin Xu; Vladimir Yushutin (Comput. Math. Appl., 2021)

A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow. - Yerbol Palzhanov; Alexander Zhiliakov; Annalisa Quaini; Maxim A. Olshanskii (CoRR, 2021)

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

A CutFEM divergence-free discretization for the Stokes problem. - Haoran Liu; Michael Neilan; Maxim A. Olshanskii (CoRR, 2021)

A comparison of Cahn-Hilliard and Navier-Stokes-Cahn-Hilliard models on manifolds. - Maxim A. Olshanskii; Yerbol Palzhanov; Annalisa Quaini (CoRR, 2021)

Interpolatory tensorial reduced order models for parametric dynamical systems. - Alexander V. Mamonov; Maxim A. Olshanskii (CoRR, 2021)

Lipid domain coarsening and fluidity in multicomponent lipid vesicles: A continuum based model and its experimental validation. - Y. Wang; Yerbol Palzhanov; Annalisa Quaini; Maxim A. Olshanskii; Sheereen Majd (CoRR, 2021)

Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation. - Thomas Jankuhn; Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (J. Num. Math., 2021)

An Unfitted Finite Element Method for Two-Phase Stokes Problems with Slip Between Phases. - Maxim A. Olshanskii; Annalisa Quaini; Qi Sun (J. Sci. Comput., 2021)

Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs. - Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (Math. Comput., 2021)

A Finite Element Method for Two-Phase Flow with Material Viscous Interface. - Maxim A. Olshanskii; Annalisa Quaini; Qi Sun (Comput. Methods Appl. Math., 2022)

Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations. - Maxim A. Olshanskii; Arnold Reusken; Alexander Zhiliakov (CoRR, 2022)

Recycling augmented Lagrangian preconditioner in an incompressible fluid solver. - Maxim A. Olshanskii; Alexander Zhiliakov (Numer. Linear Algebra Appl., 2022)

An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain. - Michael Neilan; Maxim A. Olshanskii (CoRR, 2023)

On fusogenicity of positively charged phased-separated lipid vesicles: experiments and computational simulations. - Yifei Wang; Yerbol Palzhanov; Dang Thien Dang; Annalisa Quaini; Maxim A. Olshanskii; Sheereen Majd (CoRR, 2023)

Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form. - Maxim A. Olshanskii; Leo G. Rebholz (CoRR, 2023)

Analysis of a tensor POD-ROM for parameter dependent parabolic problems. - Alexander V. Mamonov; Maxim A. Olshanskii (CoRR, 2023)

An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. - Maxim A. Olshanskii; Arnold Reusken; Paul Schwering (Math. Comput., 2023)

A Scalar Auxiliary Variable Unfitted FEM for the Surface Cahn-Hilliard Equation. - Maxim A. Olshanskii; Yerbol Palzhanov; Annalisa Quaini (J. Sci. Comput., 2023)

An adaptive stabilized trace finite element method for surface PDEs. - Timo Heister; Maxim A. Olshanskii; Vladimir Yushutin (Comput. Math. Appl., 2024)

A conservative Eulerian finite element method for transport and diffusion in moving domains. - Maxim A. Olshanskii; Henry von Wahl (CoRR, 2024)

Slice sampling tensor completion for model order reduction of parametric dynamical systems. - Alexander V. Mamonov; Maxim A. Olshanskii (CoRR, 2024)

Tensorial Parametric Model Order Reduction of Nonlinear Dynamical Systems. - Alexander V. Mamonov; Maxim A. Olshanskii (SIAM J. Sci. Comput., 2024)

Approximating a branch of solutions to the Navier-Stokes equations by reduced-order modeling. - Maxim A. Olshanskii; Leo G. Rebholz (J. Comput. Phys., 2025)

Stability of instantaneous pressures in an Eulerian finite element method for moving boundary flow problems. - Maxim A. Olshanskii; Henry von Wahl (J. Comput. Phys., 2025)

A Priori Analysis of a Tensor ROM for Parameter Dependent Parabolic Problems. - Alexander V. Mamonov; Maxim A. Olshanskii (SIAM J. Numer. Anal., 2025)

A Preconditioner for the Grad-Div Stabilized Equal-Order Finite Elements Discretizations of the Oseen Problem. - Yunhui He; Maxim A. Olshanskii (SIAM J. Sci. Comput., 2025)

A Narrow Band Finite Element Method for the Level Set Equation. - Maxim A. Olshanskii; Arnold Reusken; Paul Schwering (SIAM J. Sci. Comput., 2025)

Gradient-penalty stabilization of sharp and diffuse interface formulations in unfitted Nitsche finite element methods. - Maxim A. Olshanskii; Jan-Phillip Bäcker; Dmitri Kuzmin (CoRR, 2025)

Parametric Reduced Order Models for the Generalized Kuramoto-Sivashinsky Equations. - Md Rezwan Bin Mizan; Maxim A. Olshanskii; Ilya Timofeyev (CoRR, 2025)

Analysis of a finite element method for PDEs in evolving domains with topological changes. - Maxim A. Olshanskii; Arnold Reusken (CoRR, 2025)

Phase-separated lipid vesicles: continuum modeling, simulation, and validation. - Maxim A. Olshanskii; Annalisa Quaini (CoRR, 2025)

An Augmented Lagrangian Preconditioner for Navier-Stokes Equations with Runge-Kutta in Time. - Santolo Leveque; Yunhui He; Maxim A. Olshanskii (CoRR, 2025)

A parametric tensor ROM for the shallow water dam break problem. - Md Rezwan Bin Mizan; Maxim A. Olshanskii; Ilya Timofeyev (CoRR, 2025)