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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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2022

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

Fractional operators in coupled multiphysics problems with implicit coupling

In LSSC'22, 2022.
Status: Published

Talks, contributed

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
M. Kuchta

Preconditioners for multiphysics systems and the ubiquitous fractional Laplacian

In Finite Element Circus UF 2022, 2022.
Status: Published
Å. Telle, J. D. Trotter, X. Cai, M. Kuchta, H. Finsberg, J. Sundnes and S. Wall

Modeling cardiac mechanics using a cell-based framework

In 15th World Congress on Computational Mechanics (WCCM-XV), Yokohama, Japan. 15th World Congress on Computational Mechanics (WCCM-XV), 2022.
Status: Published
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 43, no. 4 (2021): B961-B983.
Status: Published
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 59, no. 1 (2021): 558-582.
Status: Published
S. Mitusch, S. W. Funke and M. Kuchta

Hybrid FEM-NN models: Combining artificial neural networks with the finite element method

Journal of Computational Physics (2021).
Status: Submitted

Book chapters

A. P. Buccino, M. Kuchta, J. Schreiner and K. Mardal

Improving Neural Simulations with the EMI Model

In Modeling Excitable Tissue: The EMI Framework, 87-98. Cham: Springer International Publishing, 2021.
Status: Published