7 papers
Fully mixed virtual element schemes for a new model of steady-state poroelastic stress-assisted diffusion in the brain
Isaac Bermudez, Bryan Gomez-Vargas, Kent-Andre Mardal +2
We propose a fully mixed virtual element method for the numerical approximation of the coupling between linear poroelasticity equations with strong symmetry of total poroelastic st…
A cut finite element method for the Biot system of poroelasticity
Nanna Berre, Kent-Andre Mardal, André Massing +1
We propose a novel cut finite element method for the numerical solution of the Biot system of poroelasticity. The Biot system couples elastic deformation of a porous solid with vis…
Parameter-Robust Preconditioners for A Four-Field Thermo-Poroelasticity Model
Mingchao Cai, Miroslav Kuchta, Jingzhi Li +2
We study a thermo-poroelasticity model which describes the interaction between the deformation of an elastic porous material and fluid flow under non-isothermal conditions. The mod…
Parameter-robust preconditioner for Stokes-Darcy coupled problem with Lagrange multiplier
Xiaozhe Hu, Miroslav Kuchta, Kent-Andre Mardal +1
In this paper, we propose a parameter-robust preconditioner for the coupled Stokes-Darcy problem equipped with various boundary conditions, enforcing the mass conservation at the i…
On a robust inf-sup condition for the Stokes problem in slender domains -- with application to preconditioning
Espen Sande, Timo Koch, Miroslav Kuchta +1
We identify a norm on the pressure variable in the Stokes equation that allows us to prove a continuous inf-sup condition with a constant independent of the domain's aspect ratio.…
Geometry Reduced Order Modeling (GROM) with application to modeling of glymphatic function
Andreas Solheim, Geir Ringstand, Per Kristian Eide +1
Computational modeling of the brain has become a key part of understanding how the brain clears metabolic waste, but patient-specific modeling on a significant scale is still out o…