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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, 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
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

Talks, contributed

M. Kuchta

Preconditioners for multiphysics systems and the ubiquitous fractional Laplacian

In Finite Element Circus UF 2022, 2022.
Status: Published
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
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