4 citations · 13 across the 11 of their papers we have counts for
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A multipoint stress-flux mixed finite element method for the Stokes-Biot model
Sergio Caucao, Tongtong Li, Ivan Yotov
In this paper we present and analyze a fully-mixed formulation for the coupled problem arising in the interaction between a free fluid and a flow in a poroelastic medium. The flows…
A mixed elasticity formulation for fluid-poroelastic structure interaction
Tongtong Li, Ivan Yotov
We develop a mixed finite element method for the coupled problem arising in the interaction between a free fluid governed by the Stokes equations and flow in deformable porous medi…
Non-Newtonian and poroelastic effects in simulations of arterial flows
Tongtong Li, Xing Wang, Ivan Yotov
In this paper, we focus on investigating the influence on hydrodynamic factors of different coupled computational models describing the interaction between an incompressible fluid…
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…
Flux-mortar mixed finite element methods on non-matching grids
Wietse M. Boon, Dennis Gläser, Rainer Helmig +1
We investigate a mortar technique for mixed finite element approximations of Darcy flow on non-matching grids in which the normal flux is chosen as the coupling variable. It plays…
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…