Search Results - "Olshanskii, Maxim A."

Unconditional long-time stability of a velocity–vorticity method for the 2D Navier–Stokes equations by Heister, Timo, Olshanskii, Maxim A., Rebholz, Leo G.

“…We prove unconditional long-time stability for a particular velocity–vorticity discretization of the 2D Navier–Stokes equations. The scheme begins with a…”
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On conservation laws of Navier–Stokes Galerkin discretizations by Charnyi, Sergey, Heister, Timo, Olshanskii, Maxim A., Rebholz, Leo G.

“…We study conservation properties of Galerkin methods for the incompressible Navier–Stokes equations, without the divergence constraint strongly enforced. In…”
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Interpolatory tensorial reduced order models for parametric dynamical systems by Mamonov, Alexander V., Olshanskii, Maxim A.

“…The paper introduces a reduced order model (ROM) for numerical integration of a dynamical system which depends on multiple parameters. The ROM is a projection…”
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A Penalty Finite Element Method for a Fluid System Posed on Embedded Surface by Olshanskii, Maxim A., Yushutin, Vladimir

“…The paper introduces a finite element method for the incompressible Navier–Stokes equations posed on a closed surface Γ ⊂ R 3 . The method needs a shape…”
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Recycling augmented Lagrangian preconditioner in an incompressible fluid solver by Olshanskii, Maxim A., Zhiliakov, Alexander

“…The paper discusses a reuse of matrix factorization as a building block in the Augmented Lagrangian (AL) and modified AL preconditioners for nonsymmetric…”
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AN EULERIAN SPACE-TIME FINITE ELEMENT METHOD FOR DIFFUSION PROBLEMS ON EVOLVING SURFACES by OLSHANSKII, MAXIM A., REUSKEN, ARNOLD, XU, XIANMIN

“…In this paper, we study numerical methods for the solution of partial differential equations on evolving surfaces. The evolving hypersurface in ℝd defines a…”
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A quasi-Lagrangian finite element method for the Navier–Stokes equations in a time-dependent domain by Lozovskiy, Alexander, Olshanskii, Maxim A., Vassilevski, Yuri V.

“…The paper develops a finite element method for the Navier–Stokes equations of incompressible viscous fluid in a time-dependent domain. The method builds on a…”
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An adaptive octree finite element method for PDEs posed on surfaces by Chernyshenko, Alexey Y., Olshanskii, Maxim A.

“…The paper develops a finite element method for partial differential equations posed on hypersurfaces in RN, N=2,3. The method uses traces of bulk finite…”
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A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces by Olshanskii, Maxim A., Safin, Danil

“…This paper studies a method for solving elliptic partial differential equations posed on hypersurfaces in \mathbb{R}^N. The method allows a surface to be given…”
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Analysis and assessment of a monolithic FSI finite element method by Lozovskiy, Alexander, Olshanskii, Maxim A., Vassilevski, Yuri V.

“…•We devise unconditionally stable monolithic FSI finite element method in ALE variables.•It is assessed on experimental data from phase-contrast MRI of fluid…”
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A hybrid finite volume – finite element method for bulk–surface coupled problems by Chernyshenko, Alexey Y., Olshanskii, Maxim A., Vassilevski, Yuri V.

“…The paper develops a hybrid method for solving a system of advection–diffusion equations in a bulk domain coupled to advection–diffusion equations on an…”
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A FINITE ELEMENT METHOD FOR ELLIPTIC EQUATIONS ON SURFACES by OLSHANSKII, MAXIM A., REUSKEN, ARNOLD, GRANDE, JÖRG

“…In this paper a new finite element approach for the discretization of elliptic partial differential equations on surfaces is treated. The main idea is to use…”
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AN ADAPTIVE SURFACE FINITE ELEMENT METHOD BASED ON VOLUME MESHES by DEMLOW, ALAN, OLSHANSKII, MAXIM A.

“…In this paper we define an adaptive version of a recently introduced finite element method for numerical treatment of elliptic PDEs defined on surfaces. The…”
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A stabilized finite element method for advection-diffusion equations on surfaces by Olshanskii, M. A., Reusken, A., Xu, X.

“…A recently developed Eulerian finite element method (FEM) is applied to solve advection-diffusion equations posed on hypersurfaces. When transport processes on…”
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Finite stopping times for freely oscillating drop of a yield stress fluid by Cheng, Wanli, Olshanskii, Maxim A.

“…•We devise variational inequality and energy balance for a free-surface flow of a yield-stress fluid.•The method of viscous potentials is used to study small…”
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FIELD-OF-VALUES CONVERGENCE ANALYSIS OF AUGMENTED LAGRANGIAN PRECONDITIONERS FOR THE LINEARIZED NAVIER—STOKES PROBLEM by BENZI, MICHELE, OLSHANSKII, MAXIM A.

“…We study a block triangular preconditioner for finite element approximations of the linearized Navier—Stokes equations. The preconditioner is based on the…”
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Multigrid analysis for the time dependent Stokes problem by OLSHANSKII, MAXIM A.

“…Certain implicit time stepping procedures for the incompressible Stokes or Navier-Stokes equations lead to a singular-perturbed Stokes type problem at each…”
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Analysis of semi-staggered finite-difference method with application to Bingham flows by Olshanskii, Maxim A.

“…In this paper, a finite-difference scheme for incompressible flow problems is treated. The scheme uses non-staggered grid for velocity approximation. A special…”
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A finite element solver and energy stable coupling for 3D and 1D fluid models by Dobroserdova, Tatiana K., Olshanskii, Maxim A.

“…•New coupling conditions conserve the energy of 1D–3D coupled models of fluid flows.•A finite element method and a geometrical splitting numerical algorithm…”
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Velocity–vorticity–helicity formulation and a solver for the Navier–Stokes equations by Olshanskii, Maxim A., Rebholz, Leo G.

“…For the three-dimensional incompressible Navier–Stokes equations, we present a formulation featuring velocity, vorticity and helical density as independent…”
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