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Most recent publications

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).
Journal Article
2021
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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.
Book Chapter
2021
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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.
Book Chapter
2021
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M. Kuchta and K. Mardal

Iterative Solvers for EMI Models

In Modeling Excitable Tissue: The EMI Framework, 70-86. Cham: Springer International Publishing, 2021.
Book Chapter
2021
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2021

Journal articles

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 J. Numer. Anal. (2021).
Status: Accepted
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
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
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
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
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