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20172022
most citedA Parameter-Robust Iterative Method for Stokes-Darcy Problems Retaining Local Mass Conservation

6 citations · 13 across the 8 of their papers we have counts for

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math.NA20226 cited

A Parameter-Robust Iterative Method for Stokes-Darcy Problems Retaining Local Mass Conservation

Wietse M. Boon

We consider a coupled model of free-flow and porous medium flow, governed by stationary Stokes and Darcy flow, respectively. The coupling between the two systems is enforced by int…

math.NA2022

A Reduced Basis Method for Darcy flow systems that ensures local mass conservation by using exact discrete complexes

Wietse M. Boon, Alessio Fumagalli

A solution technique is proposed for flows in porous media that guarantees local conservation of mass. We first compute a flux field to balance the mass source and then exploit exa…

math.NA2021

Robust monolithic solvers for the Stokes-Darcy problem with the Darcy equation in primal form

Wietse M. Boon, Timo Koch, Miroslav Kuchta +1

We construct mesh-independent and parameter-robust monolithic solvers for the coupled primal Stokes-Darcy problem. Three different formulations and their discretizations in terms o…

math.NA2020

Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure

Wietse M. Boon, Miroslav Kuchta, Kent-Andre Mardal +1

We develop robust solvers for a class of perturbed saddle-point problems arising in the study of a second-order elliptic equation in mixed form (in terms of flux and potential), an…

math.NA20201 cited

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…

math.NA2020

Verification benchmarks for single-phase flow in three-dimensional fractured porous media

Inga Berre, Wietse M. Boon, Bernd Flemisch +23

Flow in fractured porous media occurs in the earth's subsurface, in biological tissues, and in man-made materials. Fractures have a dominating influence on flow processes, and the…