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math.NA2022★ 6 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.OC2022
An Adaptive Penalty Method for Inequality Constrained Minimization Problems
Wietse M. Boon, Jan M. Nordbotten
The primal-dual active set method is observed to be the limit of a sequence of penalty formulations. Using this perspective, we propose a penalty method that adaptively becomes the…