Maxim A. Olshanskii
University of Houston
175 Papers
541 Citations
Maxim A. Olshanskii is an academic researcher from University of Houston. The author has contributed to research in topics: Finite element method & Discretization. The author has an hindex of 35, co-authored 156 publications. Previous affiliations of Maxim A. Olshanskii include RWTH Aachen University & Moscow State University.
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Papers
An Eulerian finite element method for the linearized Navier-Stokes problem in an evolving domain
TL;DR: This study analyzes the error of an Eulerian finite element method for the linearized Navier-Stokes problem in a time-dependent domain, achieving optimal convergence in energy and L2(H1) norms for velocity and pressure components, respectively.
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A finite element method for the surface Stokes problem
TL;DR: In this article, a Trace finite element method (TraceFEM) is proposed to solve the Stokes problem on a 2D surface embedded in a 3D domain, which relies on finite element spaces defined on a fixed, surface independent background mesh which consists of shape-regular tetrahedra.
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A narrow-band unfitted finite element method for elliptic PDEs posed on surfaces
Maxim A. Olshanskii,Danil Safin +1 more
TL;DR: In this paper, a surface equation is extended to a narrowband neighborhood of the surface and the resulting extended equation is a non-degenerate PDE and it is solved on a bulk mesh that is unaligned to the surface.
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Lipid domain coarsening and fluidity in multicomponent lipid vesicles: A continuum based model and its experimental validation.
TL;DR: In this paper, a computational platform for modeling membrane coarsening dynamics based on the principles of continuum mechanics and thermodynamics is proposed to assist with the design and reduce the associated cost.
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The Model of Global Blood Circulation and Applications
Tatiana K. Dobroserdova,Yuri V. Vassilevski,Sergey Simakov,Maxim A. Olshanskii,Victoria Salamatova,Timur Gamilov,Vasiliy Kramarenko,Yuri A. Ivanov +7 more
- 01 Jan 2015
TL;DR: The first approach is to update the state equation of the model, which describes elastic properties of the vessel wall, and the second is to use a 3D model of the blood flow in the region of interest.
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