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1

Iterative Methods for Linear Systems (Theory and Applications) || Chapter 1: Krylov Subspace Methods

Olshanskii, Maxim A., Tyrtyshnikov, Eugene E.

Year:

2014

Language:

english

File:

PDF, 636 KB

english, 2014

2

A low order Galerkin finite element method for the Navier–Stokes equations of steady incompressible flow: a stabilization issue and iterative methods

Maxim A. Olshanskii

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2002

Language:

english

File:

PDF, 365 KB

english, 2002

3

Analysis of semi-staggered finite-difference method with application to Bingham flows

Maxim A. Olshanskii

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2009

Language:

english

File:

PDF, 1.32 MB

english, 2009

4

Error Analysis of a Projection Method for the Navier–Stokes Equations With Coriolis Force

Maxim A. Olshanskii, Andriy Sokolov, Stefan Turek

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2010

Language:

english

File:

PDF, 246 KB

english, 2010

5

Error Analysis of a Space-Time Finite Element Method for Solving PDEs on Evolving Surfaces

Olshanskii, Maxim A., Reusken, Arnold

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 551 KB

english, 2014

6

An unconditionally stable semi-implicit FSI finite element method

Lozovskiy, Alexander, Olshanskii, Maxim A., Salamatova, Victoria, Vassilevski, Yuri V.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2015

Language:

english

File:

PDF, 1.88 MB

english, 2015

7

On conservation laws of Navier–Stokes Galerkin discretizations

Charnyi, Sergey, Heister, Timo, Olshanskii, Maxim A., Rebholz, Leo G.

Journal:

Journal of Computational Physics

Year:

2017

Language:

english

File:

PDF, 4.13 MB

english, 2017

8

A hybrid finite volume – finite element method for bulk–surface coupled problems

Chernyshenko, Alexey Y., Olshanskii, Maxim A., Vassilevski, Yuri V.

Journal:

Journal of Computational Physics

Year:

2018

Language:

english

File:

PDF, 5.44 MB

english, 2018

9

A quasi-Lagrangian finite element method for the Navier–Stokes equations in a time-dependent domain

Lozovskiy, Alexander, Olshanskii, Maxim A., Vassilevski, Yuri V.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2018

Language:

english

File:

PDF, 1.49 MB

english, 2018

10

An unfitted finite element method for the Darcy problem in a fracture network

Chernyshenko, Alexey Y., Olshanskii, Maxim A.

Journal:

Journal of Computational and Applied Mathematics

Year:

2020

Language:

english

File:

PDF, 1.95 MB

english, 2020

11

An iterative solver for the Oseen problem and numerical solution of incompressible Navier–Stokes equations

Maxim A. Olshanskii

Journal:

Numerical Linear Algebra with Applications

Year:

1999

Language:

english

File:

PDF, 136 KB

english, 1999

12

Modified augmented Lagrangian preconditioners for the incompressible Navier–Stokes equations

Michele Benzi, Maxim A. Olshanskii, Zhen Wang

Journal:

International Journal for Numerical Methods in Fluids

Year:

2011

Language:

english

File:

PDF, 885 KB

english, 2011

13

Stabilized finite element schemes with LBB-stable elements for incompressible flows

Tobias Gelhard, Gert Lube, Maxim A. Olshanskii, Jan-Hendrik Starcke

Journal:

Journal of Computational and Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 1.03 MB

english, 2005

14

A discrete projection method for incompressible viscous flow with coriolis force

Andriy Sokolov, Maxim A. Olshanskii, Stefan Turek

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2008

Language:

english

File:

PDF, 701 KB

english, 2008

15

Grad–div stabilization and subgrid pressure models for the incompressible Navier–Stokes equations

Maxim Olshanskii, Gert Lube, Timo Heister, Johannes Löwe

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2009

Language:

english

File:

PDF, 635 KB

english, 2009

16

Note on helicity balance of the Galerkin method for the 3D Navier–Stokes equations

Maxim Olshanskii, Leo G. Rebholz

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2010

Language:

english

File:

PDF, 163 KB

english, 2010

17

A mixed formulation of the Bingham fluid flow problem: Analysis and numerical solution

Alexis Aposporidis, Eldad Haber, Maxim A. Olshanskii, Alessandro Veneziani

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2011

Language:

english

File:

PDF, 1.52 MB

english, 2011

18

Velocity–vorticity–helicity formulation and a solver for the Navier–Stokes equations

Maxim A. Olshanskii, Leo G. Rebholz

Journal:

Journal of Computational Physics

Year:

2010

Language:

english

File:

PDF, 1.03 MB

english, 2010

19

Two-level method and some a priori estimates in unsteady Navier-Stokes calculations

Maxim A. Olshanskii

Journal:

Journal of Computational and Applied Mathematics

Year:

1999

Language:

english

File:

PDF, 916 KB

english, 1999

20

Analysis of a Stokes interface problem

Maxim A. Olshanskii, Arnold Reusken

Journal:

Numerische Mathematik

Year:

2006

Language:

english

File:

PDF, 237 KB

english, 2006

21

Uniform preconditioners for a parameter dependent saddle point problem with application to generalized Stokes interface equations

Maxim A. Olshanskii, Jörg Peters, Arnold Reusken

Journal:

Numerische Mathematik

Year:

2006

Language:

english

File:

PDF, 378 KB

english, 2006

22

A finite element method for surface PDEs: matrix properties

Maxim A. Olshanskii, Arnold Reusken

Journal:

Numerische Mathematik

Year:

2010

Language:

english

File:

PDF, 1.03 MB

english, 2010

23

Effective preconditioning of Uzawa type schemes for a generalized Stokes problem

Georgij M. Kobelkov, Maxim A. Olshanskii

Journal:

Numerische Mathematik

Year:

2000

Language:

english

File:

PDF, 200 KB

english, 2000

24

On the Convergence of a Multigrid Method for Linear Reaction-Diffusion Problems

Maxim A. Olshanskii, Arnold Reusken

Journal:

Year:

2000

Language:

english

File:

PDF, 121 KB

english, 2000

25

On the accuracy of the rotation form in simulations of the Navier–Stokes equations

William Layton, Carolina C. Manica, Monika Neda, Maxim Olshanskii, Leo G. Rebholz

Journal:

Journal of Computational Physics

Year:

2009

Language:

english

File:

PDF, 1.85 MB

english, 2009

26

A fluid solver based on vorticity–helical density equations with application to a natural convection in a cubic cavity

Maxim A. Olshanskii

Journal:

International Journal for Numerical Methods in Fluids

Year:

2012

Language:

english

File:

PDF, 847 KB

english, 2012

27

On the domain geometry dependence of the LBB condition

Chizhonkov, Evgenii V., Olshanskii, Maxim A.

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2000

Language:

english

File:

PDF, 207 KB

english, 2000

28

A Finite Element Method for Elliptic Equations on Surfaces

Olshanskii, Maxim A., Reusken, Arnold, Grande, Jörg

Journal:

SIAM Journal on Numerical Analysis

Year:

2009

Language:

english

File:

PDF, 1.14 MB

english, 2009

29

On Error Analysis for the 3D Navier–Stokes Equations in Velocity-Vorticity-Helicity Form

Lee, Hyesuk K., Olshanskii, Maxim A., Rebholz, Leo G.

Journal:

SIAM Journal on Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 1.57 MB

english, 2011

30

Field-of-Values Convergence Analysis of Augmented Lagrangian Preconditioners for the Linearized Navier–Stokes Problem

Benzi, Michele, Olshanskii, Maxim A.

Journal:

SIAM Journal on Numerical Analysis

Year:

2011

Language:

english

File:

PDF, 269 KB

english, 2011

31

An Adaptive Surface Finite Element Method Based on Volume Meshes

Demlow, Alan, Olshanskii, Maxim A.

Journal:

SIAM Journal on Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 624 KB

english, 2012

32

Navier--Stokes Equations in Rotation Form: A Robust Multigrid Solver for the Velocity Problem

Olshanskii, Maxim A., Reusken, Arnold

Journal:

SIAM Journal on Scientific Computing

Year:

2002

Language:

english

File:

PDF, 273 KB

english, 2002

33

An Iterative Method for the Stokes-Type Problem with Variable Viscosity

Grinevich, Piotr P., Olshanskii, Maxim A.

Journal:

SIAM Journal on Scientific Computing

Year:

2009

Language:

english

File:

PDF, 357 KB

english, 2009

34

An Augmented Lagrangian Approach to Linearized Problems in Hydrodynamic Stability

Olshanskii, Maxim A., Benzi, Michele

Journal:

SIAM Journal on Scientific Computing

Year:

2008

Language:

english

File:

PDF, 200 KB

english, 2008

35

Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem

Olshanskii, Maxim A., Reusken, Arnold

Journal:

SIAM Journal on Numerical Analysis

Year:

2004

Language:

english

File:

PDF, 325 KB

english, 2004

36

Pressure Schur Complement Preconditioners for the Discrete Oseen Problem

Olshanskii, Maxim A., Vassilevski, Yuri V.

Journal:

SIAM Journal on Scientific Computing

Year:

2007

Language:

english

File:

PDF, 354 KB

english, 2007

37

An Augmented Lagrangian‐Based Approach to the Oseen Problem

Benzi, Michele, Olshanskii, Maxim A.

Journal:

SIAM Journal on Scientific Computing

Year:

2006

Language:

english

File:

PDF, 226 KB

english, 2006

38

Assessment of a vorticity based solver for the Navier–Stokes equations

Michele Benzi, Maxim A. Olshanskii, Leo G. Rebholz, Zhen Wang

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2012

Language:

english

File:

PDF, 1.06 MB

english, 2012

39

An octree-based solver for the incompressible Navier–Stokes equations with enhanced stability and low dissipation

Olshanskii, Maxim A., Terekhov, Kirill M., Vassilevski, Yuri V.

Journal:

Computers & Fluids

Year:

2013

Language:

english

File:

PDF, 7.57 MB

english, 2013

40

A finite element solver and energy stable coupling for 3D and 1D fluid models

Dobroserdova, Tatiana K., Olshanskii, Maxim A.

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2013

Language:

english

File:

PDF, 2.44 MB

english, 2013

41

On surface meshes induced by level set functions

Olshanskii, Maxim A., Reusken, Arnold, Xu, Xianmin

Journal:

Computing and Visualization in Science

Year:

2012

Language:

english

File:

PDF, 394 KB

english, 2012

42

Iterative Methods for Linear Systems (Theory and Applications) || Chapter 3: Multigrid Preconditioners

Olshanskii, Maxim A., Tyrtyshnikov, Eugene E.

Year:

2014

Language:

english

File:

PDF, 480 KB

english, 2014

43

Iterative Methods for Linear Systems (Theory and Applications) || Front Matter

Olshanskii, Maxim A., Tyrtyshnikov, Eugene E.

Year:

2014

Language:

english

File:

PDF, 233 KB

english, 2014

44

Iterative Methods for Linear Systems (Theory and Applications) || Chapter 2: Toeplitz Matrices and Preconditioners

Olshanskii, Maxim A., Tyrtyshnikov, Eugene E.

Year:

2014

Language:

english

File:

PDF, 326 KB

english, 2014

45

Iterative Methods for Linear Systems (Theory and Applications) || Chapter 4: Preconditioners by Space Decomposition

Olshanskii, Maxim A., Tyrtyshnikov, Eugene E.

Year:

2014

Language:

english

File:

PDF, 348 KB

english, 2014

46

Iterative Methods for Linear Systems (Theory and Applications) || Chapter 5: Some Applications

Olshanskii, Maxim A., Tyrtyshnikov, Eugene E.

Year:

2014

Language:

english

File:

PDF, 571 KB

english, 2014

47

Iterative Methods for Linear Systems (Theory and Applications) || Back Matter

Olshanskii, Maxim A., Tyrtyshnikov, Eugene E.

Year:

2014

Language:

english

File:

PDF, 190 KB

english, 2014

48

An Eulerian Space-Time Finite Element Method for Diffusion Problems on Evolving Surfaces

Olshanskii, Maxim A., Reusken, Arnold, Xu, Xianmin

Journal:

SIAM Journal on Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 1012 KB

english, 2014

49

A connection between filter stabilization and eddy viscosity models

Olshanskii, Maxim A., Xiong, Xin

Journal:

Numerical Methods for Partial Differential Equations

Year:

2013

Language:

english

File:

PDF, 159 KB

english, 2013

50

Grad-Div Stabilization for Stokes Equations

Maxim A. Olshanskii and Arnold Reusken

Journal:

Mathematics of Computation

Year:

2004

Language:

english

File:

PDF, 508 KB

english, 2004