22 citations · 22 across the 4 of their papers we have counts for
3 papers · 2 filters
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…
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…