Maxim A. Olshanskii

Orcid: 0000-0002-9102-6833

According to our database1, Maxim A. Olshanskii authored at least 69 papers between 1999 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2023
A Scalar Auxiliary Variable Unfitted FEM for the Surface Cahn-Hilliard Equation.
J. Sci. Comput., December, 2023

Analysis of a tensor POD-ROM for parameter dependent parabolic problems.
CoRR, 2023

An adaptive stabilized trace finite element method for surface PDEs.
CoRR, 2023

Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form.
CoRR, 2023

On fusogenicity of positively charged phased-separated lipid vesicles: experiments and computational simulations.
CoRR, 2023

An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain.
CoRR, 2023

Tensorial parametric model order reduction of nonlinear dynamical systems.
CoRR, 2023

An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces.
CoRR, 2023

2022
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver.
Numer. Linear Algebra Appl., 2022

Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations.
CoRR, 2022

A Finite Element Method for Two-Phase Flow with Material Viscous Interface.
Comput. Methods Appl. Math., 2022

2021
Inf-sup stability of the trace P<sub>2</sub>-P<sub>1</sub> Taylor-Hood elements for surface PDEs.
Math. Comput., 2021

An Unfitted Finite Element Method for Two-Phase Stokes Problems with Slip Between Phases.
J. Sci. Comput., 2021

Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation.
J. Num. Math., 2021

Lipid domain coarsening and fluidity in multicomponent lipid vesicles: A continuum based model and its experimental validation.
CoRR, 2021

Interpolatory tensorial reduced order models for parametric dynamical systems.
CoRR, 2021

A comparison of Cahn-Hilliard and Navier-Stokes-Cahn-Hilliard models on manifolds.
CoRR, 2021

A CutFEM divergence-free discretization for the Stokes problem.
CoRR, 2021

A monolithic fluid-porous structure interaction finite element method.
CoRR, 2021

A decoupled, stable, and linear FEM for a phase-field model of variable density two-phase incompressible surface flow.
CoRR, 2021

A finite element method for Allen-Cahn equation on deforming surface.
Comput. Math. Appl., 2021

2020
New Stability Estimates for an Unfitted Finite Element Method for Two-Phase Stokes Problem.
SIAM J. Numer. Anal., 2020

Numerical modeling of phase separation on dynamic surfaces.
J. Comput. Phys., 2020

An unfitted finite element method for the Darcy problem in a fracture network.
J. Comput. Appl. Math., 2020

Experimental validation of a phase-field model to predict coarsening dynamics of lipid domains in multicomponent membranes.
CoRR, 2020

Error analysis of higher order trace finite element methods for the surface Stokes equations.
CoRR, 2020

Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation.
CoRR, 2020

2019
A higher order approximate static condensation method for multi-material diffusion problems.
J. Comput. Phys., 2019

Numerical modelling of phase separation on dynamic surfaces.
CoRR, 2019

2018
A Finite Element Method for the Surface Stokes Problem.
SIAM J. Sci. Comput., 2018

A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces.
SIAM J. Numer. Anal., 2018

A Trace Finite Element Method for Vector-Laplacians on Surfaces.
SIAM J. Numer. Anal., 2018

Inf-sup stability of geometrically unfitted Stokes finite elements.
Math. Comput., 2018

A hybrid finite volume - finite element method for bulk-surface coupled problems.
J. Comput. Phys., 2018

2017
A Trace Finite Element Method for PDEs on Evolving Surfaces.
SIAM J. Sci. Comput., 2017

Unconditional long-time stability of a velocity-vorticity method for the 2D Navier-Stokes equations.
Numerische Mathematik, 2017

LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier-Stokes equations.
Numer. Linear Algebra Appl., 2017

On conservation laws of Navier-Stokes Galerkin discretizations.
J. Comput. Phys., 2017

2016
Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems.
SIAM J. Sci. Comput., 2016

A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces.
Math. Comput., 2016

2015
ILU Preconditioners for Nonsymmetric Saddle-Point Matrices with Application to the Incompressible Navier-Stokes Equations.
SIAM J. Sci. Comput., 2015

A Splitting Method for Numerical Simulation of Free Surface Flows of Incompressible Fluids with Surface Tension.
Comput. Methods Appl. Math., 2015

2014
An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces.
SIAM J. Numer. Anal., 2014

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces.
SIAM J. Numer. Anal., 2014

Iterative Methods for Linear Systems - Theory and Applications.
SIAM, ISBN: 978-1-61197-345-7, 2014

2013
A Unified Approach for Computing Tsunami, Waves, Floods, and Landslides.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012
An Adaptive Surface Finite Element Method Based on Volume Meshes.
SIAM J. Numer. Anal., 2012

Multigrid analysis for the time dependent Stokes problem.
Math. Comput., 2012

On surface meshes induced by level set functions.
Comput. Vis. Sci., 2012

2011
On Error Analysis for the 3D Navier-Stokes Equations in Velocity-Vorticity-Helicity Form.
SIAM J. Numer. Anal., 2011

Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier-Stokes Problem.
SIAM J. Numer. Anal., 2011

On an Efficient Finite Element Method for Navier-Stokes-ω with Strong Mass Conservation.
Comput. Methods Appl. Math., 2011

2010
Acquired Clustering Properties and Solution of Certain Saddle Point Systems.
SIAM J. Matrix Anal. Appl., 2010

A finite element method for surface PDEs: matrix properties.
Numerische Mathematik, 2010

Velocity-vorticity-helicity formulation and a solver for the Navier-Stokes equations.
J. Comput. Phys., 2010

2009
An Iterative Method for the Stokes-Type Problem with Variable Viscosity.
SIAM J. Sci. Comput., 2009

A Finite Element Method for Elliptic Equations on Surfaces.
SIAM J. Numer. Anal., 2009

On the accuracy of the rotation form in simulations of the Navier-Stokes equations.
J. Comput. Phys., 2009

2008
An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability.
SIAM J. Sci. Comput., 2008

2007
Pressure Schur Complement Preconditioners for the Discrete Oseen Problem.
SIAM J. Sci. Comput., 2007

2006
An Augmented Lagrangian-Based Approach to the Oseen Problem.
SIAM J. Sci. Comput., 2006

Analysis of a Stokes interface problem.
Numerische Mathematik, 2006

Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations.
Numerische Mathematik, 2006

2004
Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem.
SIAM J. Numer. Anal., 2004

Grad-div stablilization for Stokes equations.
Math. Comput., 2004

2002
Navier-Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem.
SIAM J. Sci. Comput., 2002

2000
Effective preconditioning of Uzawa type schemes for a generalized Stokes problem.
Numerische Mathematik, 2000

On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems.
Computing, 2000

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


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