79 citations · 263 across the 55 of their papers we have counts for
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Computational identification of adsorption and desorption parameters for pore scale transport in periodic porous media
Vasiliy V. Grigoriev, Oleg Iliev, Petr N. Vabishchevich
Computational identification of unknown adsorption and desorption rates is discussed in conjunction with reactive flow considered at pore scale. The reactive transport is governed…
Approximate representation of the solutions of fractional elliptical BVP through the solution of parabolic IVP
Petr N. Vabishchevich
Boundary value problem for a fractional power of an elliptic operator is considered. An integral representation by means of a standard solution problem for parabolic equations is u…
Approximation of a fractional power of an elliptic operator
Petr N. Vabishchevich
Some mathematical models of applied problems lead to the need of solving boundary value problems with a fractional power of an elliptic operator. In a number of works, approximatio…
Numerical modeling of neutron transport in SP3 approximation by finite element method
Alexander V. Avvakumov, Valery F. Strizhov, Petr N. Vabishchevich +1
The SP3 approximation of the neutron transport equation allows improving the accuracy for both static and transient simulations for reactor core analysis compared with the neutron…
High order numerical schemes for solving fractional powers of elliptic operators
Raimondas Ciegis, Petr Vabishchevich
In many recent applications when new materials and technologies are developed it is important to describe and simulate new nonlinear and nonlocal diffusion transport processes. A g…