Kent-Andre Mardal
ProfessorAdjunct Chief Research Scientist
- Department
- Numerical Analysis and Scientific Computing
- Organisation
- Simula Research Laboratory
![Kent-Andre Mardal](/_next/image?url=%2Fimages%2Fperson-placeholder.png&w=384&q=75)
- kent-and@simula.no
Publications
2024
Book Chapters
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, measurements and data analysis (SEMA/SIMAI Collection on Microcirculation)
2023
Journal Articles
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
Proceedings, refereed
A. Budisa, X. Hu, M. Kuchta, K. Mardal and L. T. Zikatanov
Rational approximation preconditioners for multiphysics problems
Numerical Methods and Applications (NMA 2022)
2022
Journal Articles
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
A. Budisa, X. Hu, M. Kuchta, K. Mardal and L. T. Zikatanov
HAZniCS – Software Components for Multiphysics Problems
ACM Transactions on Mathematical Software
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
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
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
Books
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
Talks, invited
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
Talks, contributed
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
2021
Journal Articles
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
K. Mardal, M. E. Rognes and T. Thompson
Accurate discretization of poroelasticity without Darcy stability – Stokes-Biot revisited
BIT Numerical Mathematics
Book Chapters
Å. Telle, S. Wall and J. Sundnes
Modeling Cardiac Mechanics on a Sub-Cellular Scale
Modeling Excitable Tissue: The EMI Framework
M. Kuchta and K. Mardal
Iterative Solvers for EMI Models
Modeling Excitable Tissue: The EMI Framework
A. P. Buccino, M. Kuchta, J. Schreiner and K. Mardal
Improving Neural Simulations with the EMI Model
Modeling Excitable Tissue: The EMI Framework
M. Kuchta, K. Mardal and M. E. Rognes
Solving the EMI Equations using Finite Element Methods
Modeling Excitable Tissue: The EMI Framework
K. H. Jæger, K. G. Hustad, X. Cai and A. Tveito
Operator Splitting and Finite Difference Schemes for Solving the EMI Model
Modeling Excitable Tissue: The EMI Framework
K. H. Jæger and A. Tveito
Derivation of a Cell-Based Mathematical Model of Excitable Cells
Modeling Excitable Tissue: The EMI Framework
Edited books
Modeling Excitable Tissue: The EMI Framework
Talks, invited
C. Daversin-Catty, I. Gjerde, K. Mardal, M. E. Rognes and V. Vinje
Modeling fluid flow in perivascular networks
Oslo glymphatics symposium, Oslo (Norway)
2020
Journal Articles
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
L. M. Valnes, S. Mitusch, G. Ringstad, P. K. Eide, S. W. Funke and K. Mardal
Apparent diffusion coefficient estimates based on 24 hours tracer movement support glymphatic transport in human cerebral cortex
Scientific Reports
K. E. Holter, M. Kuchta and K. Mardal
Robust preconditioning of monolithically coupled multiphysics problems
arXiv preprint arXiv:2001.05527