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Most recent publications

M. Kuchta

The fractional Laplacian and the brain

In Waterscales workshop, 2023.
Talk, keynote
2023
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A. Budisa, X. Hu, M. Kuchta, K. Mardal and L. T. Zikatanov

Algebraic multigrid methods for metric-perturbed coupled problems

SIAM J. Sci. Comput. (2023).
Journal Article
2023
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R. Masri, M. Zeinhofer, M. Kuchta and M. E. Rognes

The modelling error in multi-dimensional time-dependent solute transport models

TBA (2023).
Journal Article
2023
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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, no. 1 (2023).
Journal Article
2023
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2023

Talks, invited

M. Kuchta

Domain Decomposition Solvers for Problems with Strong Fractional Interface Perturbations

In LSSC 23, 2023.
Status: Published
2022

Journal articles

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).
Status: Submitted
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.
Status: Published
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 467 (2022): 111464.
Status: Published
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 93, no. 3 (2022): 77.
Status: Published
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.
Status: Published
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.
Status: Published

Book chapters

A. Elmokashfi, S. W. Funke, T. Klock, M. Kuchta, V. Naumova and J. J. Uv

Digital tracing, validation, and reporting

In Smittestopp − A Case Study on Digital Contact Tracing, 99-120. Vol. 11. Cham: Springer International Publishing, 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