105 citations · 231 across the 23 of their papers we have counts for
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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…