Kent-Andre Mardal

S. Badia, M. Hornkjøl, A. Khan, K. Mardal, A. F. Martín and R. Ruiz-Baier

Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem

Computers & Mathematics with Applications

M. Zeinhofer, R. Masri and K. Mardal

A unified framework for the error analysis of physics-informed neural networks

IMA Journal of Numerical Analysis

J. Schreiner, U. Kessler, K. J. Ødegaard, K. Mardal and L. Oltedal

Exploring New Electroencephalogram Parameters in Electroconvulsive Therapy

The Journal of ECT

L. W. Dreyer, A. Eklund, M. E. Rognes, J. Malm, S. Qvarlander, K. Støverud, K. Mardal and V. Vinje

Modeling CSF circulation and the glymphatic system during infusion using subject specific intracranial pressures and brain geometries

Fluids and Barriers of the Central Nervous System

M. E. Rognes, K. Mardal, L. M. Valnes and V. Vinje

From brain physiology to brain physics

Mathematical modeling of the human brain II: from glymphatics to deep learning

N. Dimola, M. Kuchta, K. Mardal and P. Zunino

Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers

Quantitative Approaches to Microcirculation: Mathematical Models, Computational Methods and Data Analysis

Quantitative Approaches to Microcirculation

Mathematical Models, Computational Methods and Data Analysis

Mathematical modeling of the human brain II: from glymphatics to deep learning

B. Gomez-Vargas, K. Mardal, R. Ruiz-Baier and V. Vinje

Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion

SIAM Journal on Numerical Analysis

T. Koch, V. Vinje and K. Mardal

Estimates of the permeability of extra-cellular pathways through the astrocyte endfoot sheath

Fluids and Barriers of the CNS

V. Vinje, B. Zapf, G. Ringstad, P. K. Eide, M. E. Rognes and K. Mardal

Human brain solute transport quantified by glymphatic MRI-informed biophysics during sleep and sleep deprivation

Fluids and Barriers of the Central Nervous System

A. Budisa, X. Hu, M. Kuchta, K. Mardal and L. T. Zikatanov

Algebraic multigrid methods for metric-perturbed coupled problems

SIAM J. Sci. Comput.

L. Bojarskaite, A. Vallet, D. M. Bjørnstad, K. M. G. Binder, C. Cunen, K. Heuser, M. Kuchta, K. Mardal and R. Enger

Sleep cycle-dependent vascular dynamics in male mice and the predicted effects on perivascular cerebrospinal fluid flow and solute transport

Nature Communications

A. Budisa, X. Hu, M. Kuchta, K. Mardal and L. T. Zikatanov

Rational approximation preconditioners for multiphysics problems

Numerical Methods and Applications (NMA 2022)

A. Budisa, X. Hu, M. Kuchta, K. Mardal and L. T. Zikatanov

HAZniCS – Software Components for Multiphysics Problems

ACM Transactions on Mathematical Software

M. Kuchta, S. G. Wubshet, N. K. Afseth, K. Mardal and K. H. Liland

Encoder–decoder neural networks for predicting future

Journal of Biophotonics

L. Bojarskaite, D. M. Bjørnstad, A. Vallet, K. M. G. Binder, C. Cunen, K. Heuser, M. Kuchta, K. Mardal and R. Enger

Sleep cycle-dependent vascular dynamics enhance perivascular cerebrospinal fluid flow and solute transport

bioRxiv

W. M. Boon, T. Koch, M. Kuchta and K. Mardal

Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form

SIAM Journal on Scientific Computing

B. Zapf, J. Haubner, M. Kuchta, G. Ringstad, P. K. Eide and K. Mardal

Investigating molecular transport in the human brain from MRI with physics-informed neural networks

Scientific Reports

J. Schreiner and K. Mardal

Simulating epileptic seizures using the bidomain model

Scientific Reports

W. M. Boon, M. Hornkjøl, M. Kuchta, K. Mardal and R. Ruiz-Baier

Parameter-robust methods for the Biot–Stokes interfacial coupling without Lagrange multipliers

Journal of Computational Physics

T. Bohr, P. G. Hjorth, S. C. Holst, S. Hrabětová, V. Kiviniemi, T. Lilius, I. Lundgaard, K. Mardal, E. A. Martens, Y. Mori, V. Nägerl, C. Nicholson, A. Tannenbaum, J. H. Thomas, J. Tithof, H. Benveniste, J. J. Iliff, D. H. Kelley and M. Nedergaard

The glymphatic system: Current understanding and modeling

iScience

K. Mardal, J. Sogn and S. Takacs

Robust Preconditioning and Error Estimates for Optimal Control of the Convection--Diffusion--Reaction Equation with Limited Observation in Isogeometric Analysis

SIAM Journal on Numerical Analysis

M. Hornkjøl, L. M. Valnes, G. A. Ringstad, M. E. Rognes, P. K. Eide, K. Mardal and V. Vinje

CSF circulation and dispersion yield rapid clearance from intracranial compartments

Frontiers in Bioengineering and Biotechnology

Q. Hong, J. Kraus, M. Kuchta, M. Lymbery, K. Mardal and M. E. Rognes

Robust approximation of generalized Biot-Brinkman problems

Journal on Scientific Computing

K. Mardal, M. E. Rognes, T. B. Thompson and L. M. Valnes

Mathematical modeling of the human brain: from magnetic resonance images to finite element simulation

Simula SpringerBriefs on Computing

M. Kuchta

Parameter-robust monolithic solvers for Stokes-Darcy/Biot systems

The 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Oslo, Norway

M. Kuchta, W. M. Boon, K. E. Holter, M. Hornkjøl, T. Koch, K. Mardal and R. Ruiz-Baier

Fractional operators in coupled multiphysics problems with implicit coupling

Numerical Solution of Fractional Differential Equations and Applications NSFDE&A’22

M. Kuchta, W. M. Boon, M. Hornkjøl, T. Koch, K. Mardal and R. Ruiz-Baier

Parameter-robust Methods for Biot-Stokes and Darcy-Stokes Interfacial Coupling without Lagrange Multipliers

15th World Congress on Computation Mechanics

M. Kuchta, A. Budisa, X. Hu, L. T. Zikatanov and K. Mardal

Fractional Laplacians and Hybridized DG

Simula's Workshop on computational mechanics models on domains of heterogeneous dimensionality, Split, Croatia

C. Daversin-Catty, V. Vinje, I. Gjerde, K. Mardal and M. E. Rognes

Modeling fluid flow in perivascular networks

ECCOMAS22, Oslo (Norway)

M. Kuchta, W. M. Boon, T. Koch, K. Mardal and R. Ruiz-Baier

Parameter-robust monolithic solvers for coupled Biot/Darcy-Stokes models

27th International Domain Decomposition Conference, DD27

W. M. Boon, M. Kuchta, K. Mardal and R. Ruiz-Baier

Robust Preconditioners for Perturbed Saddle-Point Problems and Conservative Discretizations of Biot's Equations Utilizing Total Pressure

SIAM Journal on Scientific Computing

P. K. Eide, L. M. Valnes, E. K. Lindstrøm, K. Mardal and G. Ringstad

Direction and magnitude of cerebrospinal fluid flow vary substantially across central nervous system diseases

Fluids and Barriers of the CNS

B. A. Young, J. Adams, J. M. Beary, K. Mardal, R. Schneider and T. Kondrashova

Variations in the cerebrospinal fluid dynamics of the American alligator (Alligator mississippiensis)

Fluids and Barriers of the CNS

P. K. Eide, V. Vinje, A. H. Pripp, K. Mardal and G. A. Ringstad

Sleep deprivation impairs molecular clearance from the human brain

Brain

M. Kuchta, F. Laurino, K. Mardal and P. Zunino

Analysis and approximation of mixed-dimensional PDEs on 3D-1D domains coupled with Lagrange multipliers

SIAM Journal on Numerical Analysis

M. Kuchta and K. Mardal

Iterative Solvers for EMI Models

Modeling Excitable Tissue: The EMI Framework

Modeling Excitable Tissue: The EMI Framework

C. Daversin-Catty, I. Gjerde, K. Mardal, M. E. Rognes and V. Vinje

Modeling fluid flow in perivascular networks

Oslo glymphatics symposium, Oslo (Norway)

C. Daversin-Catty, V. Vinje, K. Mardal and M. E. Rognes

The mechanisms behind perivascular fluid flow

PLOS ONE

K. E. Holter, M. Kuchta and K. Mardal

Robust preconditioning for coupled Stokes–Darcy problems with the Darcy problem in primal form

Computers & Mathematics with Applications

W. M. Boon, M. Kuchta, K. Mardal and R. Ruiz-Baier

Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure

arXiv preprint arXiv:2011.05236

T. Bærland, M. Kuchta, K. Mardal and T. Thompson

An observation on the uniform preconditioners for the mixed Darcy problem

Numerical Methods for Partial Differential Equations