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- A Danilov, Yu. M. Ivanov, Roman Pryamonosov, Yu. Vassilevski
- International journal for numerical methods inâ€¦
- 2016

The paper addresses methods for generation of individualized computational domains on the basis of medical imaging dataset. The computational domains will be used in one-dimensional (1D) andâ€¦ (More)

Black-box methodology for generating anisotropic adaptive tetrahedral meshes in domains with discrete boundaries is described. A new high-order reconstruction method for triangular surface meshes isâ€¦ (More)

Motivated by the numerical solution of the linearized incompressible Navierâ€“Stokes equations, we study threshold incomplete LU factorizations for non-symmetric saddle point matrices. The resultingâ€¦ (More)

- Yu. Vassilevski, Sergey Simakov, V. Salamatova, Yu. M. Ivanov, T. Dobroserdova
- 2011

There are two mathematical models of elastic walls of healthy and atherosclerotic blood vessels developed and studied. The models are included in a numerical model of global blood circulation viaâ€¦ (More)

- A Danilov, Vasily K. Kramarenko, Dmitry Nikolaev, Stanislav Rudnev, Yu Salamatova, Yu. Vassilevski
- 2013

In this work, an adaptive unstructured tetrahedral mesh generation technology is applied for simulation of segmental bioimpedance measurements using high-resolution wholebody model of the Visibleâ€¦ (More)

- Yu. Vassilevski
- Numerical Lin. Alg. with Applic.
- 2004

A new two-level black-box preconditioner based on the hybrid domain decomposition technique is proposed and studied. The preconditioner is a combination of an additive Schwarz preconditioner and aâ€¦ (More)

- A Danilov, Andrey Lozovskiy, +5 authors Yuri V. Vassilevski
- 2017

The paper introduces a finite element method for the Navier-Stokes equations of incompressible viscous fluid in a time-dependent domain. The method builds on a quasiLagrangian formulation of theâ€¦ (More)

- YU. ILIASH, Yu Kuznetsov, Yu. Vassilevski, Barbara I. Wohlmuth
- 1998

â€” We consider the development, analysis, and parallel implementation of domain decomposition techniques on nonmatching grids, also known as the mortar element approach, for the numerical solution ofâ€¦ (More)

The modeling of physical systems often leads to partial differential equations (PDEs). Usually, the equations or the domain where the equations are posed are so complicated that the analytic solutionâ€¦ (More)

- A Danilov, K. Nikitin, +7 authors Yuri V. Vassilevski
- 2013

The prediction of large-scale hydrodynamic events such as tsunami spread and run-up, dam break, flood, or landslide run-out is a challenging and important problem of applied mathematics andâ€¦ (More)