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Maxim A. Olshanskii
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2020 – today
- 2024
- [j52]Timo Heister, Maxim A. Olshanskii
, Vladimir Yushutin:
An adaptive stabilized trace finite element method for surface PDEs. Comput. Math. Appl. 171: 164-174 (2024) - [j51]Alexander V. Mamonov
Tensorial Parametric Model Order Reduction of Nonlinear Dynamical Systems. SIAM J. Sci. Comput. 46(3): 1850- (2024) - [i27]Maxim A. Olshanskii, Henry von Wahl:
A conservative Eulerian finite element method for transport and diffusion in moving domains. CoRR abs/2404.07130 (2024) - [i26]Maxim A. Olshanskii, Arnold Reusken, Paul Schwering:
A narrow band finite element method for the level set equation. CoRR abs/2407.02950 (2024) - 2023
- [j50]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) - [j49]Maxim A. Olshanskii
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. Math. Comput. 93(349): 2031-2065 (2023) - [i25]Maxim A. Olshanskii, Arnold Reusken, Paul Schwering:
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces. CoRR abs/2302.00779 (2023) - [i24]Alexander V. Mamonov, Maxim A. Olshanskii:
Tensorial parametric model order reduction of nonlinear dynamical systems. CoRR abs/2302.08490 (2023) - [i23]Maxim A. Olshanskii, Yerbol Palzhanov, Annalisa Quaini:
A scalar auxiliary variable unfitted FEM for the surface Cahn-Hilliard equation. CoRR abs/2306.00318 (2023) - [i22]Michael Neilan, Maxim A. Olshanskii:
An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain. CoRR abs/2308.01444 (2023) - [i21]Yifei Wang, Yerbol Palzhanov, Dang Thien Dang, Annalisa Quaini
On fusogenicity of positively charged phased-separated lipid vesicles: experiments and computational simulations. CoRR abs/2308.08425 (2023) - [i20]Maxim A. Olshanskii, Leo G. Rebholz:
Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form. CoRR abs/2309.05585 (2023) - [i19]Timo Heister, Maxim A. Olshanskii, Vladimir Yushutin:
An adaptive stabilized trace finite element method for surface PDEs. CoRR abs/2310.03089 (2023) - [i18]Alexander V. Mamonov, Maxim A. Olshanskii:
Analysis of a tensor POD-ROM for parameter dependent parabolic problems. CoRR abs/2311.07883 (2023) - 2022
- [j48]Maxim A. Olshanskii, Annalisa Quaini
A Finite Element Method for Two-Phase Flow with Material Viscous Interface. Comput. Methods Appl. Math. 22(2): 443-464 (2022) - [j47]Maxim A. Olshanskii
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver. Numer. Linear Algebra Appl. 29(2) (2022) - [i17]Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov:
Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations. CoRR abs/2203.01521 (2022) - 2021
- [j46]Maxim A. Olshanskii
A finite element method for Allen-Cahn equation on deforming surface. Comput. Math. Appl. 90: 148-158 (2021) - [j45]Thomas Jankuhn, Maxim A. Olshanskii
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation. J. Num. Math. 29(3): 245-267 (2021) - [j44]Maxim A. Olshanskii
An Unfitted Finite Element Method for Two-Phase Stokes Problems with Slip Between Phases. J. Sci. Comput. 89(2): 41 (2021) - [j43]Maxim A. Olshanskii
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs. Math. Comput. 90(330): 1527-1555 (2021) - [i16]Maxim A. Olshanskii, Annalisa Quaini, Qi Sun:
An unfitted finite element method for two-phase Stokes problems with slip between phases. CoRR abs/2101.09627 (2021) - [i15]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 abs/2104.08996 (2021) - [i14]Alexander Lozovskiy, Maxim A. Olshanskii, Yuri V. Vassilevski:
A monolithic fluid-porous structure interaction finite element method. CoRR abs/2105.05487 (2021) - [i13]Maxim A. Olshanskii, Annalisa Quaini, Qi Sun:
A finite element method for two-phase flow with material viscous interface. CoRR abs/2106.02922 (2021) - [i12]Haoran Liu, Michael Neilan, Maxim A. Olshanskii:
A CutFEM divergence-free discretization for the Stokes problem. CoRR abs/2110.11456 (2021) - [i11]Maxim A. Olshanskii, Yerbol Palzhanov, Annalisa Quaini:
A comparison of Cahn-Hilliard and Navier-Stokes-Cahn-Hilliard models on manifolds. CoRR abs/2110.15873 (2021) - [i10]Alexander V. Mamonov, Maxim A. Olshanskii:
Interpolatory tensorial reduced order models for parametric dynamical systems. CoRR abs/2111.00649 (2021) - [i9]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 abs/2111.03022 (2021) - 2020
- [j42]Alexey Y. Chernyshenko
An unfitted finite element method for the Darcy problem in a fracture network. J. Comput. Appl. Math. 366 (2020) - [j41]Vladimir Yushutin, Annalisa Quaini
Numerical modeling of phase separation on dynamic surfaces. J. Comput. Phys. 407: 109126 (2020) - [j40]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): 2165-2192 (2020) - [i8]Maxim A. Olshanskii, Leo G. Rebholz:
Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation. CoRR abs/2002.01416 (2020) - [i7]Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov:
Error analysis of higher order trace finite element methods for the surface Stokes equations. CoRR abs/2003.06972 (2020) - [i6]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 abs/2006.14125 (2020) - [i5]Maxim A. Olshanskii, Xianmin Xu, Vladimir Yushutin:
A finite element method for Allen-Cahn equation on deforming surface. CoRR abs/2007.09531 (2020) - [i4]Maxim A. Olshanskii, Alexander Zhiliakov:
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver. CoRR abs/2012.10073 (2020)
2010 – 2019
- 2019
- [j39]Alexander Z. Zinchenko, Daniil Svyatskiy
A higher order approximate static condensation method for multi-material diffusion problems. J. Comput. Phys. 395: 333-350 (2019) - [i3]Ernesto Cáceres, Johnny Guzmán, Maxim A. Olshanskii:
New stability estimates for an unfitted finite element method for two-phase Stokes problem. CoRR abs/1906.02779 (2019) - [i2]Vladimir Yushutin, Annalisa Quaini, Maxim A. Olshanskii:
Numerical modelling of phase separation on dynamic surfaces. CoRR abs/1907.11314 (2019) - [i1]Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov:
Inf-sup stability of the trace P2-P1 Taylor-Hood elements for surface PDEs. CoRR abs/1909.02990 (2019) - 2018
- [j38]Alexey Y. Chernyshenko
A hybrid finite volume - finite element method for bulk-surface coupled problems. J. Comput. Phys. 352: 516-533 (2018) - [j37]Johnny Guzmán, Maxim A. Olshanskii
Inf-sup stability of geometrically unfitted Stokes finite elements. Math. Comput. 87(313): 2091-2112 (2018) - [j36]Christoph Lehrenfeld
A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces. SIAM J. Numer. Anal. 56(3): 1643-1672 (2018) - [j35]Sven Gross
A Trace Finite Element Method for Vector-Laplacians on Surfaces. SIAM J. Numer. Anal. 56(4): 2406-2429 (2018) - [j34]Maxim A. Olshanskii
A Finite Element Method for the Surface Stokes Problem. SIAM J. Sci. Comput. 40(4): A2492-A2518 (2018) - 2017
- [j33]Sergey Charnyi, Timo Heister
On conservation laws of Navier-Stokes Galerkin discretizations. J. Comput. Phys. 337: 289-308 (2017) - [j32]Igor N. Konshin
LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations. Numer. Linear Algebra Appl. 24(3) (2017) - [j31]Timo Heister
Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations. Numerische Mathematik 135(1): 143-167 (2017) - [j30]Maxim A. Olshanskii
A Trace Finite Element Method for PDEs on Evolving Surfaces. SIAM J. Sci. Comput. 39(4) (2017) - 2016
- [j29]Maxim A. Olshanskii
A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces. Math. Comput. 85(300): 1549-1570 (2016) - [j28]Sven Groß
Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems. SIAM J. Sci. Comput. 38(6) (2016) - 2015
- [j27]Kirill D. Nikitin
A Splitting Method for Numerical Simulation of Free Surface Flows of Incompressible Fluids with Surface Tension. Comput. Methods Appl. Math. 15(1): 59-77 (2015) - [j26]Igor N. Konshin
ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier-Stokes Equations. SIAM J. Sci. Comput. 37(5) (2015) - 2014
- [b1]Maxim A. Olshanskii, Evgenii Evgenvich Tyrtyshnikov:
Iterative Methods for Linear Systems - Theory and Applications. SIAM 2014, ISBN 978-1-61197-345-7, pp. I-XVI, 1-247 - [j25]Maxim A. Olshanskii
An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces. SIAM J. Numer. Anal. 52(3): 1354-1377 (2014) - [j24]Maxim A. Olshanskii
Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces. SIAM J. Numer. Anal. 52(4): 2092-2120 (2014) - 2013
- [c1]Alexander A. Danilov
A Unified Approach for Computing Tsunami, Waves, Floods, and Landslides. ENUMATH 2013: 643-650 - 2012
- [j23]Maxim A. Olshanskii
On surface meshes induced by level set functions. Comput. Vis. Sci. 15(2): 53-60 (2012) - [j22]Maxim A. Olshanskii
Multigrid analysis for the time dependent Stokes problem. Math. Comput. 81(277): 57-79 (2012) - [j21]Alan Demlow, Maxim A. Olshanskii
An Adaptive Surface Finite Element Method Based on Volume Meshes. SIAM J. Numer. Anal. 50(3): 1624-1647 (2012) - 2011
- [j20]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): 3-22 (2011) - [j19]Hyesuk K. Lee, Maxim A. Olshanskii
On Error Analysis for the 3D Navier-Stokes Equations in Velocity-Vorticity-Helicity Form. SIAM J. Numer. Anal. 49(2): 711-732 (2011) - [j18]Michele Benzi
Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier-Stokes Problem. SIAM J. Numer. Anal. 49(2): 770-788 (2011) - 2010
- [j17]Maxim A. Olshanskii
Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations. J. Comput. Phys. 229(11): 4291-4303 (2010) - [j16]Maxim A. Olshanskii
A finite element method for surface PDEs: matrix properties. Numerische Mathematik 114(3): 491 (2010) - [j15]Maxim A. Olshanskii
Acquired Clustering Properties and Solution of Certain Saddle Point Systems. SIAM J. Matrix Anal. Appl. 31(5): 2754-2768 (2010)
2000 – 2009
- 2009
- [j14]William J. Layton
On the accuracy of the rotation form in simulations of the Navier-Stokes equations. J. Comput. Phys. 228(9): 3433-3447 (2009) - [j13]Maxim A. Olshanskii
A Finite Element Method for Elliptic Equations on Surfaces. SIAM J. Numer. Anal. 47(5): 3339-3358 (2009) - [j12]Piotr P. Grinevich, Maxim A. Olshanskii
An Iterative Method for the Stokes-Type Problem with Variable Viscosity. SIAM J. Sci. Comput. 31(5): 3959-3978 (2009) - 2008
- [j11]Maxim A. Olshanskii
An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability. SIAM J. Sci. Comput. 30(3): 1459-1473 (2008) - 2007
- [j10]Maxim A. Olshanskii
Pressure Schur Complement Preconditioners for the Discrete Oseen Problem. SIAM J. Sci. Comput. 29(6): 2686-2704 (2007) - 2006
- [j9]Maxim A. Olshanskii
Analysis of a Stokes interface problem. Numerische Mathematik 103(1): 129-149 (2006) - [j8]Maxim A. Olshanskii
Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations. Numerische Mathematik 105(1): 159-191 (2006) - [j7]Michele Benzi
An Augmented Lagrangian-Based Approach to the Oseen Problem. SIAM J. Sci. Comput. 28(6): 2095-2113 (2006) - 2004
- [j6]Maxim A. Olshanskii
Grad-div stablilization for Stokes equations. Math. Comput. 73(248): 1699-1718 (2004) - [j5]Maxim A. Olshanskii
Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem. SIAM J. Numer. Anal. 42(3): 1261-1291 (2004) - 2002
- [j4]Maxim A. Olshanskii
Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem. SIAM J. Sci. Comput. 23(5): 1683-1706 (2002) - 2000
- [j3]Maxim A. Olshanskii
On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems. Computing 65(3): 193-202 (2000) - [j2]Georgij M. Kobelkov, Maxim A. Olshanskii
Effective preconditioning of Uzawa type schemes for a generalized Stokes problem. Numerische Mathematik 86(3): 443-470 (2000)
1990 – 1999
- 1999
- [j1]Maxim A. Olshanskii:
An iterative solver for the Oseen problem and numerical solution of incompressible Navier-Stokes equations. Numer. Linear Algebra Appl. 6(5): 353-378 (1999)
Coauthor Index
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