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Maxim A. Olshanskii

Maxim A. Olshanskii

D-Index & Metrics

Mathematics

D-Index
38
Citations
5095
World Ranking
2381
National Ranking
1000

Engineering and Technology

D-Index
38
Citations
5119
World Ranking
8125
National Ranking
2243

Overview

Maxim A. Olshanskii is affiliated with the University of Houston in the United States and has a research focus primarily in engineering. Their work spans multiple subfields, particularly in computational mechanics and computational theory and mathematics.

The scientist's publication record includes numerous contributions to topics such as advanced numerical methods in computational mathematics, lattice Boltzmann simulation studies, and advanced mathematical modeling in engineering. Additional areas of focus include numerical methods in engineering, computational fluid dynamics and aerodynamics, model reduction and neural networks, as well as lipid membrane structure and behavior.

Maxim A. Olshanskii has authored papers in several peer-reviewed journals and venues, including:

  • A finite element method for Allen-Cahn equation on deforming surface (2021), published in Computers & Mathematics with Applications
  • Inf-sup stability of the trace P₂-P₁ Taylor-Hood elements for surface PDEs (2020), published in Mathematics of Computation
  • Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation (2020), published in Journal of Numerical Mathematics
  • Tangential Navier-Stokes equations on evolving surfaces: Analysis and simulations (2022), published in Mathematical Models and Methods in Applied Sciences
  • Interpolatory tensorial reduced order models for parametric dynamical systems (2022), published in Computer Methods in Applied Mechanics and Engineering

Frequently publishing venues for this scientist include:

  • arXiv (Cornell University)
  • Computer Methods in Applied Mechanics and Engineering
  • SIAM Journal on Scientific Computing
  • Computational Methods in Applied Mathematics
  • Computers & Mathematics with Applications

Collaboration has been a significant aspect of Maxim A. Olshanskii's research activities. Frequent co-authors include Annalisa Quaini, Yuri Vassilevski, Alexander Danilov, Arnold Reusken, and Alexander Zhiliakov.

The scientist's contributions to computational mechanics and applied mathematics emphasize the development and analysis of numerical methods for partial differential equations on surfaces and evolving domains. The range of topics also reflects interdisciplinary work connecting engineering computational techniques with biological membrane behavior and model reduction strategies.

Best Publications

  • An Augmented Lagrangian-Based Approach to the Oseen Problem

    Michele Benzi;Maxim A. Olshanskii

  • Grad-div stablilization for Stokes equations

    Maxim A. Olshanskii;Arnold Reusken

  • A Finite Element Method for Elliptic Equations on Surfaces

    Maxim A. Olshanskii;Arnold Reusken;Jörg Grande

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

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

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

    Maxim Olshanskii;Gert Lube;Timo Heister;Johannes Löwe

  • Modified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equations

    Michele Benzi;Maxim A. Olshanskii;Zhen Wang

  • 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

  • On conservation laws of Navier–Stokes Galerkin discretizations

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

  • On the accuracy of the rotation form in simulations of the Navier-Stokes equations

    William Layton;Carolina C. Manica;Monika Neda;Maxim Olshanskii

  • Iterative Methods for Linear Systems: Theory and Applications

    Maxim A. Olshanskii;Eugene E. Tyrtyshnikov

  • Incompressible fluid problems on embedded surfaces: Modeling and variational formulations

    Thomas Jankuhn;Maxim A. Olshanskii;Arnold Reusken

  • Analysis of a Stokes interface problem

    Maxim A. Olshanskii;Arnold Reusken

  • Pressure Schur Complement Preconditioners for the Discrete Oseen Problem

    Maxim A. Olshanskii;Yuri V. Vassilevski

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

    Piotr P. Grinevich;Maxim A. Olshanskii

  • On simulation of outflow boundary conditions in finite difference calculations for incompressible fluid

    M. A. Ol'shanskii;V. M. Staroverov

  • A stabilized finite element method for advection-diffusion equations on surfaces

    Maxim A. Olshanskii;Arnold Reusken;Xianmin Xu

  • Trace Finite Element Methods for PDEs on Surfaces

    Maxim A. Olshanskii;Arnold Reusken

  • AN EULERIAN SPACE-TIME FINITE ELEMENT METHOD FOR DIFFUSION PROBLEMS ON EVOLVING SURFACES ∗

    Maxim A. Olshanskii;Arnold Reusken;Xianmin Xu

  • A finite element method for surface PDEs: matrix properties

    Maxim A. Olshanskii;Arnold Reusken

  • ERROR ANALYSIS OF A SPACE-TIME FINITE ELEMENT METHOD FOR SOLVING PDES ON EVOLVING SURFACES ∗

    Maxim A. Olshanskii;Arnold Reusken

Frequent Co-Authors

Arnold Reusken
Arnold Reusken RWTH Aachen University
Eugene E. Tyrtyshnikov
Eugene E. Tyrtyshnikov Russian Academy of Sciences
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Stefan Turek
Stefan Turek TU Dortmund University
Johnny Guzmán
Johnny Guzmán Brown University
Alessandro Veneziani
Alessandro Veneziani Emory University
Valeria Simoncini
Valeria Simoncini University of Bologna
Eldad Haber
Eldad Haber University of British Columbia
William Layton
William Layton University of Pittsburgh
Mikhail Shashkov
Mikhail Shashkov Los Alamos National Laboratory

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