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math.NA2020★ 2 cited
Tensor-based techniques for fast discretization and solution of 3D elliptic equations with random coefficients
Venera Khoromskaia, Boris N. Khoromskij
In this paper, we propose and analyze the numerical algorithms for fast solution of periodic elliptic problems in random media in , . We consider the stochasti…
math.NA2020★ 3 cited
Tensor Method for Optimal Control Problems Constrained by Fractional 3D Elliptic Operator with Variable Coefficients
Britta Schmitt, Boris N. Khoromskij, Venera Khoromskaia +1
We introduce the tensor numerical method for solving optimal control problems that are constrained by fractional 2D and 3D elliptic operators with variable coefficients. We solve t…
math.NA2020
Prospects of tensor-based numerical modeling of the collective electrostatic potential in many-particle systems
Venera Khoromskaia, Boris N. Khoromskij
Recently the rank-structured tensor approach suggested a progress in the numerical treatment of the long-range electrostatic potentials in many-particle systems and the respective…