105 citations · 231 across the 23 of their papers we have counts for
28 papers · 1 filter
Domain decomposition methods for the Stokes-Biot model of fluid-poroelastic structure interaction
Manraj Ghumman, Manu Jayadharan, Ivan Yotov
We develop a non-overlapping domain decomposition method for the numerical solution of the Stokes-Biot model of fluid-poroelastic structure interaction in a mixed form. The model i…
Multipoint stress mixed finite element methods for the linear Cosserat equations
Wietse M. Boon, Alessio Fumagalli, Jan M. Nordbotten +1
We propose mixed finite element methods for Cosserat materials that use suitable quadrature rules to eliminate the Cauchy and coupled stress variables locally. The reduced system c…
Multipoint stress mixed finite element methods for elasticity on cuboid grids
Ibrahim Yazici, Ivan Yotov
We develop multipoint stress mixed finite element methods for linear elasticity with weak stress symmetry on cuboid grids, which can be reduced to a symmetric and positive definite…
Mixed finite element projection methods for the unsteady Stokes equations
Costanza Aricò, Rainer Helmig, Ivan Yotov
We develop (div)-conforming mixed finite element methods for the unsteady Stokes equations modeling single-phase incompressible fluid flow. A projection method in the framework…
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model
Aashi Dalal, Rebecca Durst, Annalisa Quaini +1
We develop and analyze a splitting method for fluid-poroelastic structure interaction. The fluid is described using the Stokes equations and the poroelastic structure is described…
Velocity-vorticity-pressure mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations
Sergio Caucao, Ivan Yotov
In this paper, we propose and analyze a mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations for unsteady viscoelastic flows in porous media. Besides the velocity…
A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy
Wietse M. Boon, Dennis Gläser, Rainer Helmig +2
A discretization method with non-matching grids is proposed for the coupled Stokes-Darcy problem that uses a mortar variable at the interface to couple the marker and cell (MAC) me…
Flux-mortar mixed finite element methods with multipoint flux approximation
Wietse M. Boon, Dennis Gläser, Rainer Helmig +1
The flux-mortar mixed finite element method was recently developed for a general class of domain decomposition saddle point problems on non-matching grids. In this work we develop…
Multiscale mortar mixed finite element methods for the Biot system of poroelasticity
Manu Jayadharan, Ivan Yotov
We develop a mixed finite element domain decomposition method on non-matching grids for the Biot system of poroelasticity. A displacement-pressure vector mortar function is introdu…
An augmented fully-mixed formulation for the quasistatic Navier--Stokes--Biot model
Tongtong Li, Sergio Caucao, Ivan Yotov
We introduce and analyze a partially augmented fully-mixed formulation and a mixed finite element method for the coupled problem arising in the interaction between a free fluid and…
A space-time multiscale mortar mixed finite element method for parabolic equations
Manu Jayadharan, Michel Kern, Martin Vohralík +1
We develop a space-time mortar mixed finite element method for parabolic problems. The domain is decomposed into a union of subdomains discretized with non-matching spatial grids a…
The Biot-Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye
Ricardo Ruiz-Baier, Matteo Taffetani, Hans D. Westermeyer +1
We consider a multiphysics model for the flow of Newtonian fluid coupled with Biot consolidation equations through an interface, and incorporating total pressure as an unknown in t…
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…
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…
A Banach space mixed formulation for the unsteady Brinkman-Forchheimer equations
Sergio Caucao, Ivan Yotov
We propose and analyze a mixed formulation for the Brinkman-Forchheimer equations for unsteady flows. Our approach is based on the introduction of a pseudostress tensor related to…
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…
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…