1 citations · 1 across the 4 of their papers we have counts for
5 papers
On the structure of the Schur complement matrix for the Stokes equation
Vladislav Pimanov, Ekaterina Muravleva, Ivan Oseledets +1
In this paper, we investigate the structure of the Schur complement matrix for the fully-staggered finite-difference discretization of the stationary Stokes equation. Specifically,…
On the efficient preconditioning of the Stokes equations in tight geometries
Vladislav Pimanov, Oleg Iliev, Ivan Oseledets +1
If the Stokes equations are properly discretized, it is known that the Schur complement matrix is spectrally equivalent to the identity matrix. Moreover, in the case of simple geom…
On a workflow for efficient computation of the permeability of tight sandstones
Vladislav Pimanov, Vladislav Lukoshkin, Pavel Toktaliev +7
The paper presents a workflow for fast pore-scale simulation of single-phase flow in tight reservoirs typically characterized by low, multiscale porosity. Multiscale porosity impli…
Robust topology optimization using a posteriori error estimator for the finite element method
Vladislav Pimanov, Ivan Oseledets
In our work, we consider the classical density-based approach to the topology optimization. We propose to modify the discretized cost functional using a posteriori error estimator…
Regularization of topology optimization problem by the FEM a posteriori error estimator
Vladislav Pimanov, Ivan Oseledets
In our work, we consider the classical density-based approach to topology optimization. We propose the modification of the discretized cost/objective functional using a posteriori…