126 citations · 147 across the 5 of their papers we have counts for
7 papers
A Trefftz-like coarse space for the two-level Schwarz method on perforated domains
Miranda Boutilier, Konstantin Brenner, Victorita Dolean
We consider a new coarse space for the ASM and RAS preconditioners to solve elliptic partial differential equations on perforated domains, where the numerous polygonal perforations…
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou +3
We consider a two-phase Darcy flow in a fractured and deformable porous medium for which the fractures are described as a network of planar surfaces leading to so-called hybrid-dim…
Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media
Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou +1
We consider a two-phase Darcy flow in a fractured porous medium consisting in a matrix flow coupled with a tangential flow in the fractures, described as a network of planar surfac…
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…
Improving Newton's method performance by parametrization: the case of Richards equation
Konstantin Brenner, Clément Cancès
The nonlinear systems obtained by discretizing degenerate parabolic equations may be hard to solve, especially with Newton's method. In this paper, we apply to Richards equation a…
Gradient discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media with discontinuous pressures at the matrix fracture interfaces
K. Brenner, J. Hennicker, R. Masson +1
We investigate the discretization of Darcy flow through fractured porous media on general meshes. We consider a hybrid dimensional model, invoking a complex network of planar fract…