Maxim A. Olshanskii

Publication Activity (10 Years)

Years Active: 1999-2024
Publications (10 Years): 52

Top Topics

Dynamical Systems

Partial Differential Equations

Top Venues

SIAM J. Numer. Anal.

SIAM J. Sci. Comput.

J. Comput. Phys.

Publications

Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
A narrow band finite element method for the level set equation. CoRR (2024)
Maxim A. Olshanskii, Henry von Wahl
A conservative Eulerian finite element method for transport and diffusion in moving domains. CoRR (2024)
Timo Heister, Maxim A. Olshanskii, Vladimir Yushutin
An adaptive stabilized trace finite element method for surface PDEs. Comput. Math. Appl. 171 (2024)
Alexander V. Mamonov, Maxim A. Olshanskii
Tensorial Parametric Model Order Reduction of Nonlinear Dynamical Systems. SIAM J. Sci. Comput. 46 (3) (2024)
Timo Heister, Maxim A. Olshanskii, Vladimir Yushutin
An adaptive stabilized trace finite element method for surface PDEs. CoRR (2023)
Yifei Wang, Yerbol Palzhanov, Dang Thien Dang, Annalisa Quaini, Maxim A. Olshanskii, Sheereen Majd
On fusogenicity of positively charged phased-separated lipid vesicles: experiments and computational simulations. CoRR (2023)
Maxim A. Olshanskii, Yerbol Palzhanov, Annalisa Quaini
A Scalar Auxiliary Variable Unfitted FEM for the Surface Cahn-Hilliard Equation. J. Sci. Comput. 97 (3) (2023)
Alexander V. Mamonov, Maxim A. Olshanskii
Tensorial parametric model order reduction of nonlinear dynamical systems. CoRR (2023)
Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. CoRR (2023)
Maxim A. Olshanskii, Yerbol Palzhanov, Annalisa Quaini
A scalar auxiliary variable unfitted FEM for the surface Cahn-Hilliard equation. CoRR (2023)
Maxim A. Olshanskii, Leo G. Rebholz
Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form. CoRR (2023)
Maxim A. Olshanskii, Arnold Reusken, Paul Schwering
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. Math. Comput. 93 (349) (2023)
Alexander V. Mamonov, Maxim A. Olshanskii
Analysis of a tensor POD-ROM for parameter dependent parabolic problems. CoRR (2023)
Michael Neilan, Maxim A. Olshanskii
An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain. CoRR (2023)
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations. CoRR (2022)
Maxim A. Olshanskii, Alexander Zhiliakov
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver. Numer. Linear Algebra Appl. 29 (2) (2022)
Maxim A. Olshanskii, Annalisa Quaini, Qi Sun
A Finite Element Method for Two-Phase Flow with Material Viscous Interface. Comput. Methods Appl. Math. 22 (2) (2022)
Alexander V. Mamonov, Maxim A. Olshanskii
Interpolatory tensorial reduced order models for parametric dynamical systems. CoRR (2021)
Maxim A. Olshanskii, Yerbol Palzhanov, Annalisa Quaini
A comparison of Cahn-Hilliard and Navier-Stokes-Cahn-Hilliard models on manifolds. CoRR (2021)
Alexander Lozovskiy, Maxim A. Olshanskii, Yuri V. Vassilevski
A monolithic fluid-porous structure interaction finite element method. CoRR (2021)
Haoran Liu, Michael Neilan, Maxim A. Olshanskii
A CutFEM divergence-free discretization for the Stokes problem. CoRR (2021)
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Taylor-Hood elements for surface PDEs. Math. Comput. 90 (330) (2021)
Maxim A. Olshanskii, Annalisa Quaini, Qi Sun
An Unfitted Finite Element Method for Two-Phase Stokes Problems with Slip Between Phases. J. Sci. Comput. 89 (2) (2021)
Maxim A. Olshanskii, Annalisa Quaini, Qi Sun
An unfitted finite element method for two-phase Stokes problems with slip between phases. CoRR (2021)
Y. Wang, Yerbol Palzhanov, Annalisa Quaini, Maxim A. Olshanskii, Sheereen Majd
Lipid domain coarsening and fluidity in multicomponent lipid vesicles: A continuum based model and its experimental validation. CoRR (2021)
Yerbol Palzhanov, Alexander Zhiliakov, Annalisa Quaini, Maxim A. Olshanskii
A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow. CoRR (2021)
Maxim A. Olshanskii, Annalisa Quaini, Qi Sun
A finite element method for two-phase flow with material viscous interface. CoRR (2021)
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation. J. Num. Math. 29 (3) (2021)
Maxim A. Olshanskii, Xianmin Xu, Vladimir Yushutin
A finite element method for Allen-Cahn equation on deforming surface. Comput. Math. Appl. 90 (2021)
Vladimir Yushutin, Annalisa Quaini, Maxim A. Olshanskii
Numerical modeling of phase separation on dynamic surfaces. J. Comput. Phys. 407 (2020)
Alexander Zhiliakov, Yifei Wang, Annalisa Quaini, Maxim A. Olshanskii, Sheereen Majd
Experimental validation of a phase-field model to predict coarsening dynamics of lipid domains in multicomponent membranes. CoRR (2020)
Alexey Y. Chernyshenko, Maxim A. Olshanskii
An unfitted finite element method for the Darcy problem in a fracture network. J. Comput. Appl. Math. 366 (2020)
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Error analysis of higher order trace finite element methods for the surface Stokes equations. CoRR (2020)
Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii
New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem. SIAM J. Numer. Anal. 58 (4) (2020)
Maxim A. Olshanskii, Leo G. Rebholz
Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation. CoRR (2020)
Maxim A. Olshanskii, Alexander Zhiliakov
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver. CoRR (2020)
Maxim A. Olshanskii, Xianmin Xu, Vladimir Yushutin
A finite element method for Allen-Cahn equation on deforming surface. CoRR (2020)
Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii
New stability estimates for an unfitted finite element method for two-phase Stokes problem. CoRR (2019)
Alexander Z. Zinchenko, Daniil Svyatskiy, Maxim A. Olshanskii, Evgeny Kikinzon, Mikhail J. Shashkov
A higher order approximate static condensation method for multi-material diffusion problems. J. Comput. Phys. 395 (2019)
Vladimir Yushutin, Annalisa Quaini, Maxim A. Olshanskii
Numerical modelling of phase separation on dynamic surfaces. CoRR (2019)
Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov
Taylor-Hood elements for surface PDEs. CoRR (2019)
Maxim A. Olshanskii, Annalisa Quaini, Arnold Reusken, Vladimir Yushutin
A Finite Element Method for the Surface Stokes Problem. SIAM J. Sci. Comput. 40 (4) (2018)
Sven Gross, Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken
A Trace Finite Element Method for Vector-Laplacians on Surfaces. SIAM J. Numer. Anal. 56 (4) (2018)
Christoph Lehrenfeld, Maxim A. Olshanskii, Xianmin Xu
A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces. SIAM J. Numer. Anal. 56 (3) (2018)
Alexey Y. Chernyshenko, Maxim A. Olshanskii, Yuri V. Vassilevski
A hybrid finite volume - finite element method for bulk-surface coupled problems. J. Comput. Phys. 352 (2018)
Johnny Guzmán, Maxim A. Olshanskii
Inf-sup stability of geometrically unfitted Stokes finite elements. Math. Comput. 87 (313) (2018)
Igor N. Konshin, Maxim A. Olshanskii, Yuri V. Vassilevski
LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations. Numer. Linear Algebra Appl. 24 (3) (2017)
Maxim A. Olshanskii, Xianmin Xu
A Trace Finite Element Method for PDEs on Evolving Surfaces. SIAM J. Sci. Comput. 39 (4) (2017)
Sergey Charnyi, Timo Heister, Maxim A. Olshanskii, Leo G. Rebholz
On conservation laws of Navier-Stokes Galerkin discretizations. J. Comput. Phys. 337 (2017)
Timo Heister, Maxim A. Olshanskii, Leo G. Rebholz
Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations. Numerische Mathematik 135 (1) (2017)
Maxim A. Olshanskii, Danil Safin
A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces. Math. Comput. 85 (300) (2016)
Sven Groß, Thomas Ludescher, Maxim A. Olshanskii, Arnold Reusken
Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems. SIAM J. Sci. Comput. 38 (6) (2016)
Igor N. Konshin, Maxim A. Olshanskii, Yuri V. Vassilevski
ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 37 (5) (2015)
Kirill D. Nikitin, Maxim A. Olshanskii, Kirill M. Terekhov, Yuri V. Vassilevski
A Splitting Method for Numerical Simulation of Free Surface Flows of Incompressible Fluids with Surface Tension. Comput. Methods Appl. Math. 15 (1) (2015)
Maxim A. Olshanskii, Arnold Reusken
Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces. SIAM J. Numer. Anal. 52 (4) (2014)
Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu
An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces. SIAM J. Numer. Anal. 52 (3) (2014)
Alexander A. Danilov, Kirill D. Nikitin, Maxim A. Olshanskii, Kirill M. Terekhov, Yuri V. Vassilevski
A Unified Approach for Computing Tsunami, Waves, Floods, and Landslides. ENUMATH (2013)
Maxim A. Olshanskii, Arnold Reusken, Xianmin Xu
On surface meshes induced by level set functions. Comput. Vis. Sci. 15 (2) (2012)
Alan Demlow, Maxim A. Olshanskii
An Adaptive Surface Finite Element Method Based on Volume Meshes. SIAM J. Numer. Anal. 50 (3) (2012)
Maxim A. Olshanskii
Multigrid analysis for the time dependent Stokes problem. Math. Comput. 81 (277) (2012)
Hyesuk K. Lee, Maxim A. Olshanskii, Leo G. Rebholz
On Error Analysis for the 3D Navier-Stokes Equations in Velocity-Vorticity-Helicity Form. SIAM J. Numer. Anal. 49 (2) (2011)
Michele Benzi, Maxim A. Olshanskii
Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier-Stokes Problem. SIAM J. Numer. Anal. 49 (2) (2011)
Carolina C. Manica, Monika Neda, Maxim A. Olshanskii, Leo G. Rebholz, Nicholas E. Wilson
On an Efficient Finite Element Method for Navier-Stokes-ω with Strong Mass Conservation. Comput. Methods Appl. Math. 11 (1) (2011)
Maxim A. Olshanskii, Arnold Reusken
A finite element method for surface PDEs: matrix properties. Numerische Mathematik 114 (3) (2010)
Maxim A. Olshanskii, Leo G. Rebholz
Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations. J. Comput. Phys. 229 (11) (2010)
Maxim A. Olshanskii, Valeria Simoncini
Acquired Clustering Properties and Solution of Certain Saddle Point Systems. SIAM J. Matrix Anal. Appl. 31 (5) (2010)
William J. Layton, Carolina C. Manica, Monika Neda, Maxim A. Olshanskii, Leo G. Rebholz
On the accuracy of the rotation form in simulations of the Navier-Stokes equations. J. Comput. Phys. 228 (9) (2009)
Piotr P. Grinevich, Maxim A. Olshanskii
An Iterative Method for the Stokes-Type Problem with Variable Viscosity. SIAM J. Sci. Comput. 31 (5) (2009)
Maxim A. Olshanskii, Arnold Reusken, Jörg Grande
A Finite Element Method for Elliptic Equations on Surfaces. SIAM J. Numer. Anal. 47 (5) (2009)
Maxim A. Olshanskii, Michele Benzi
An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability. SIAM J. Sci. Comput. 30 (3) (2008)
Maxim A. Olshanskii, Yuri V. Vassilevski
Pressure Schur Complement Preconditioners for the Discrete Oseen Problem. SIAM J. Sci. Comput. 29 (6) (2007)
Michele Benzi, Maxim A. Olshanskii
An Augmented Lagrangian-Based Approach to the Oseen Problem. SIAM J. Sci. Comput. 28 (6) (2006)
Maxim A. Olshanskii, Arnold Reusken
Analysis of a Stokes interface problem. Numerische Mathematik 103 (1) (2006)
Maxim A. Olshanskii, Jörg Peters, Arnold Reusken
Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations. Numerische Mathematik 105 (1) (2006)
Maxim A. Olshanskii, Arnold Reusken
Grad-div stablilization for Stokes equations. Math. Comput. 73 (248) (2004)
Maxim A. Olshanskii, Arnold Reusken
Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem. SIAM J. Numer. Anal. 42 (3) (2004)
Maxim A. Olshanskii, Arnold Reusken
Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem. SIAM J. Sci. Comput. 23 (5) (2002)
Maxim A. Olshanskii, Arnold Reusken
On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems. Computing 65 (3) (2000)
Georgij M. Kobelkov, Maxim A. Olshanskii
Effective preconditioning of Uzawa type schemes for a generalized Stokes problem. Numerische Mathematik 86 (3) (2000)
Maxim A. Olshanskii
An iterative solver for the Oseen problem and numerical solution of incompressible Navier-Stokes equations. Numer. Linear Algebra Appl. 6 (5) (1999)