22 citations · 22 across the 4 of their papers we have counts for
8 papers
Domain decomposition and partitioning methods for mixed finite element discretizations of the Biot system of poroelasticity
Manu Jayadharan, Eldar Khattatov, Ivan Yotov
We develop non-overlapping domain decomposition methods for the Biot system of poroelasticity in a mixed form. The solid deformation is modeled with a mixed three-field formulation…
A coupled multipoint stress -- multipoint flux mixed finite element method for the Biot system of poroelasticity
Ilona Ambartsumyan, Eldar Khattatov, Ivan Yotov
We present a mixed finite element method for a five-field formulation of the Biot system of poroelasticity that reduces to a cell-centered pressure-displacement system on simplicia…
A multipoint stress mixed finite element method for elasticity on quadrilateral grids
Ilona Ambartsumyan, Eldar Khattatov, Jan M. Nordbotten +1
We develop a multipoint stress mixed finite element method for linear elasticity with weak stress symmetry on quadrilateral grids, which can be reduced to a symmetric and positive…
A multipoint stress mixed finite element method for elasticity on simplicial grids
Ilona Ambartsumyan, Eldar Khattatov, Jan M. Nordbotten +1
We develop a new multipoint stress mixed finite element method for linear elasticity with weakly enforced stress symmetry on simplicial grids. Motivated by the multipoint flux mixe…
Stochastic multiscale flux basis for Stokes-Darcy flows
Ilona Ambartsumyan, Eldar Khattatov, ChangQing Wang +1
Three algorithms are developed for uncertainty quantification in modeling coupled Stokes and Darcy flows. The porous media may consist of multiple regions with different properties…
Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry
Eldar Khattatov, Ivan Yotov
Two non-overlapping domain decomposition methods are presented for the mixed finite element formulation of linear elasticity with weakly enforced stress symmetry. The methods utili…