47 citations · 190 across the 24 of their papers we have counts for
7 papers · 1 filter
An Observation On The Uniform Preconditioners For The Mixed Darcy Problem
Trygve Bærland, Miroslav Kuchta, Kent-Andre Mardal +1
When solving a multi-physics problem one often decomposes a monolithic system into simpler, frequently single-physics, subproblems. A comprehensive solution strategy may commonly b…
Can diffusion alone explain brain-wide distribution of a CSF tracer within 24 hours?
Lars Magnus Valnes, Sebastian K. Mitusch, Geir Ringstad +3
The recently proposed glymphatic system suggests that bulk flow is important for clearing waste from the brain, and as such may underlie the development of e.g. Alzheimer's disease…
Laplacian preconditioning of elliptic PDEs: Localization of the eigenvalues of the discretized operator
Tomáš Gergelits, Kent-André Mardal, Bjørn Fredrik Nielsen +1
In the paper \textit{Preconditioning by inverting the {L}aplacian; an analysis of the eigenvalues. IMA Journal of Numerical Analysis 29, 1 (2009), 24--42}, Nielsen, Hackbusch and T…
Multigrid Methods for Discrete Fractional Sobolev Spaces
Trygve Bærland, Miroslav Kuchta, Kent-Andre Mardal
Coupled multiphysics problems often give rise to interface conditions naturally formulated in fractional Sobolev spaces. Here, both positive- and negative fractionality are common.…
A mixed finite element method for nearly incompressible multiple-network poroelasticity
Jeonghun J. Lee, Eleonora Piersanti, Kent-Andre Mardal +1
In this paper, we present and analyze a new mixed finite element formulation of a general family of quasi-static multiple-network poroelasticity (MPET) equations. The MPET equation…
Slope limiting the velocity field in a discontinuous Galerkin divergence free two-phase flow solver
Tormod Landet, Kent-Andre Mardal, Mikael Mortensen
Solving the Navier-Stokes equations when the density field contains a large sharp discontinuity---such as a water/air free surface---is numerically challenging. Convective instabil…
Sub-voxel perfusion modeling in terms of coupled 3d-1d problem
Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal
We study perfusion by a multiscale model coupling diffusion in the tissue and diffusion along the one-dimensional segments representing the vasculature. We propose a block-diagonal…