22 citations · 22 across the 5 of their papers we have counts for
4 papers · 2 filters
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…
A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media
Ilona Ambartsumyan, Vincent J. Ervin, Truong Nguyen +1
We develop and analyze a model for the interaction of a quasi-Newtonian free fluid with a poroelastic medium. The flow in the fluid region is described by the nonlinear Stokes equa…
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…