22 citations · 22 across the 5 of their papers we have counts for
8 papers · 1 filter
Hierarchical Matrix Approximations of Hessians Arising in Inverse Problems Governed by PDEs
Ilona Ambartsumyan, Wajih Boukaram, Tan Bui-Thanh +5
Hessian operators arising in inverse problems governed by partial differential equations (PDEs) play a critical role in delivering efficient, dimension-independent convergence for…
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…
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…
A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
Ilona Ambartsumyan, Eldar Khattatov, Ivan Yotov +1
We study a finite element computational model for solving the coupled problem arising in the interaction between a free fluid and a fluid in a poroelastic medium. The free fluid is…
Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra
Ilona Ambartsumyan, Eldar Khattatov, Jeonghun Lee +1
We develop higher order multipoint flux mixed finite element (MFMFE) methods for solving elliptic problems on quadrilateral and hexahedral grids that reduce to cell-based pressure…