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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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2021

Book chapters

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

Solving the EMI Equations using Finite Element Methods

In Modeling Excitable Tissue: The EMI Framework, 56-69. Cham: Springer International Publishing, 2021.
Status: Published
M. Kuchta and K. Mardal

Iterative Solvers for EMI Models

In Modeling Excitable Tissue: The EMI Framework, 70-86. Cham: Springer International Publishing, 2021.
Status: Published
2020

Journal articles

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 36 (2020): 1718-1734.
Status: Published
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 (2020).
Status: Published
R. R. de la Torre, M. Kuchta and A. Jensen

Experiments on air entrainment produced by a circular free falling jet

International Journal of Multiphase Flow 132 (2020): 103424.
Status: Published
2019

Journal articles

A. P. Buccino, M. Kuchta, K. H. Jæger, T. V. Ness, P. Berthet, K. Mardal, G. Cauwenberghs and A. Tveito

How does the presence of neural probes affect extracellular potentials?

Journal of Neural Engineering 16 (2019): 026030.
Status: Published
T. Bærland, M. Kuchta and K. Mardal

Multigrid Methods for Discrete Fractional Sobolev Spaces

SIAM Journal on Scientific Computing 41 (2019): A948-A972.
Status: Published
M. Kuchta, K. Mardal and M. Mortensen

Preconditioning trace coupled 3D-1D systems using fractional Laplacian

Numerical Methods for Partial Differential Equations 35, no. 1 (2019): 375-393.
Status: Published
M. Kuchta, K. Mardal and M. Mortensen

On the singular Neumann problem in linear elasticity

Numerical Linear Algebra with Applications 26, no. 1 (2019): e2212.
Status: Published
J. Rabault, M. Kuchta, A. Jensen, U. Réglade and N. Cerardi

Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control

Journal of Fluid Mechanics 865 (2019): 281-302.
Status: Published