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Kent-Andre Mardal

Researcher at Simula Research Laboratory

Publications -  189
Citations -  7033

Kent-Andre Mardal is an academic researcher from Simula Research Laboratory. The author has contributed to research in topics: Finite element method & Discretization. The author has an hindex of 30, co-authored 165 publications receiving 5385 citations. Previous affiliations of Kent-Andre Mardal include Oslo University Hospital & Folkwang University of the Arts.

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Book

Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book

Anders Logg, +2 more
TL;DR: This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software.
Journal ArticleDOI

Preconditioning discretizations of systems of partial differential equations

Kent-Andre Mardal, +1 more
- 01 Jan 2011 - 
TL;DR: This survey paper is based on three talks given by the second author at the London Mathematical Society Durham Symposium on Computational Linear Algebra for Partial Differential Equations and argues that the mapping properties of the coefficient operators suggest that block diagonal preconditioners are natural choices for these systems.
Journal ArticleDOI

Brain-wide glymphatic enhancement and clearance in humans assessed with MRI

Geir Ringstad, +8 more
- 26 Jul 2018 - 
TL;DR: The study provides in vivo evidence of access to all human brain subregions of a substance administered intrathecally and opens new prospects concerning intrathecal treatment regimens, extravascular contrast-enhanced MRI, and assessment of brain clearance function.
Journal ArticleDOI

A Robust Finite Element Method for Darcy--Stokes Flow

Kent-Andre Mardal, +2 more
- 01 May 2002 - 
TL;DR: It is established by numerical experiments, that most of the proposed finite element methods for Stokes problem or the mixed Poisson's system are not well behaved uniformly in the perturbation parameter, so a new "robust" finite element is introduced which exhibits this property.
Journal ArticleDOI

Interstitial solute transport in 3D reconstructed neuropil occurs by diffusion rather than bulk flow.

Karl Erik Holter, +14 more
- 12 Sep 2017 - 
TL;DR: The permeability is one to two orders of magnitude lower than values typically seen in the literature, arguing against bulk flow as the dominant transport mechanism, and it is concluded that clearance of waste products from the brain is largely based on diffusion of solutes through the interstitial space.