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Most recent publications

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 (2022).
Journal Article
2022
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M. Kuchta, S. G. Wubshet, N. K. Afseth, K. Mardal and K. H. Liland

Encoder–decoder neural networks for predicting future

Journal of Biophotonics 15, no. 9 (2022): e202200097.
Journal Article
2022
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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 4426, no. 4 (2022): B1148-B1174.
Journal Article
2022
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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 12, no. 1 (2022): 15475.
Journal Article
2022
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News

03 November 2020

New book in the SpringerBriefs series: Modeling Excitable Tissue

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2022

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

In Simula SpringerBriefs on Computing. Vol. 10. Cham: Springer, 2022.
Status: Published

Talks, invited

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

In 15th World Congress on Computation Mechanics, 2022.
Status: Published
M. Kuchta, A. Budisa, X. Hu, L. T. Zikatanov and K. Mardal

Fractional Laplacians and Hybridized DG

In Simula's Workshop on computational mechanics models on domains of heterogeneous dimensionality, Split, Croatia, 2022.
Status: Published
M. Kuchta, W. M. Boon, K. E. Holter, M. Hornkjøl, T. Koch, K. Mardal and R. Ruiz-Baier

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

In The 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Oslo, Norway, 2022.
Status: Published
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

In Numerical Solution of Fractional Differential Equations and Applications NSFDE&A’22, 2022.
Status: Published

Talks, contributed

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

Modeling fluid flow in perivascular networks

In ECCOMAS22, Oslo (Norway), 2022.
Status: Accepted
M. Kuchta, W. M. Boon, T. Koch, K. Mardal and R. Ruiz-Baier

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

In 27th International Domain Decomposition Conference, DD27, 2022.
Status: Published
2007

Journal articles

M. S. Alnæs, J. G. Isaksen, K. Mardal, B. Romner, M. K. Morgan and T. Ingebrigtsen

Computation of Hemodynamics in the Circle of Willis

Stroke 38 (2007): 2500-2505.
Status: Published
K. Mardal, B. F. Nielsen, X. Cai and A. Tveito

An Order Optimal Solver for the Discretized Bidomain Equations

Numerical Linear Algebra with Applications 14 (2007): 83-98.
Status: Published
K. Mardal, T. K. Nilssen and G. A. Staff

Order Optimal Preconditioners for Implicit Runge-Kutta Schemes Applied to Parabolic PDE's

SIAM Journal on Scientific Computing 29 (2007): 361-375.
Status: Published