79 citations · 263 across the 55 of their papers we have counts for
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Splitting schemes for unsteady problems involving the grad-div operator
Peter Minev, Petr N. Vabishchevich
In this paper we consider various splitting schemes for unsteady problems containing the grad-div operator. The fully implicit discretization of such problems would yield at each t…
Iterative computational identification of a spacewise dependent the source in a parabolic equations
Petr N. Vabishchevich
Coefficient inverse problems related to identifying the right-hand side of an equation with use of additional information is of interest among inverse problems for partial differen…
A Singularly Perturbed Boundary Value Problems with Fractional Powers of Elliptic Operators
Petr N. Vabishchevich
A boundary value problem for a fractional power of the second-order elliptic operator is considered. The boundary value problem is singularly perturbed when $…
Splitting schemes with respect to physical processes for double-porosity poroelasticity problems
A. E. Kolesov, P. N. Vabishchevich
We consider unsteady poroelasticity problem in fractured porous medium within the classical Barenblatt double-porosity model. For numerical solution of double-porosity poroelastici…