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2024
1 Budisa, Ana; Hu, Xiaozhe; Kuchta, Miroslav; Mardal, Kent-Andre; Zikatanov, Ludmil.
Algebraic multigrid methods for metric-perturbed coupled problems. SIAM Journal on Scientific Computing 2024
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2023
2 Bojarskaite, Laura; Vallet, Alexandra Honorine Emilie; Bjørnstad, Daniel Marelius; Binder, Kristin Maria Gullestad; Cunen, Celine; Heuser, Kjell; Kuchta, Miroslav; Mardal, Kent-Andre; Enger, Rune.
Sleep cycle-dependent vascular dynamics in male mice and the predicted effects on perivascular cerebrospinal fluid flow and solute transport. Nature Communications 2023 ;Volum 14. s. -
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3 Budisa, Ana; Hu, Xiaozhe; Kuchta, Miroslav; Mardal, Kent-Andre; Zikatanov, Ludmil.
HAZniCS – Software Components for Multiphysics Problems. ACM Transactions on Mathematical Software 2023 ;Volum 49.(4)
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4 Budisa, Ana; Hu, Xiaozhe; Kuchta, Miroslav; Mardal, Kent-Andre; Zikatanov, Ludmil.
Rational Approximation Preconditioners for Multiphysics Problems. I: Numerical Methods and Applications 10th International Conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022, Proceedings. Springer 2023 ISBN 978-3-031-32412-3. s. 100-113
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5 Telle, Åshild; Trotter, James David; Cai, Xing; Finsberg, Henrik Nicolay Topnes; Kuchta, Miroslav; Sundnes, Joakim; Wall, Samuel Thomas.
A cell-based framework for modeling cardiac mechanics. Biomechanics and Modeling in Mechanobiology 2023 ;Volum 22. s. 515-539
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2022
6 Boon, Wietse; Hornkjøl, Martin; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo.
Parameter-robust methods for the Biot–Stokes interfacial coupling without Lagrange multipliers. Journal of Computational Physics 2022 ;Volum 467. s. -
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7 Boon, Wietse; Koch, Timo; Kuchta, Miroslav; Mardal, Kent-Andre.
Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form. SIAM Journal on Scientific Computing 2022 ;Volum 44.(4) s. B1148-B1174
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8 Hong, Qingguo; Kraus, Johannes; Kuchta, Miroslav; Lymbery, Maria; Mardal, Kent-Andre; Rognes, Marie Elisabeth.
Robust Approximation of Generalized Biot-Brinkman Problems. Journal of Scientific Computing 2022 ;Volum 93.(3) s. -
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9 Kuchta, Miroslav; Wubshet, Sileshi Gizachew; Afseth, Nils Kristian; Mardal, Kent-Andre; Liland, Kristian Hovde.
Encoder–decoder neural networks for predicting future FTIR spectra – application to enzymatic protein hydrolysis. Journal of Biophotonics 2022 ;Volum 15.(9) s. 1-18
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10 Zapf, Bastian; Haubner, Johannes; Kuchta, Miroslav; Ringstad, Geir; Eide, Per Kristian; Mardal, Kent-Andre.
Investigating molecular transport in the human brain from MRI with physics-informed neural networks. Scientific Reports 2022 ;Volum 12.(15475) s. 1-12
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2021
11 Boon, Wietse; Kuchta, Miroslav; Mardal, Kent-Andre; Ruiz-Baier, Ricardo.
Robust preconditioners for perturbed saddle-point problems and conservative discretizations of Biot's equations utilizing total pressure. SIAM Journal on Scientific Computing 2021 ;Volum 43.(4) s. B961-B983
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12 Kuchta, Miroslav.
Assembly of Multiscale Linear PDE Operators. I: Numerical Mathematics and Advanced Applications ENUMATH 2019. Springer 2021 ISBN 978-3-030-55873-4.
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13 Kuchta, Miroslav; Laurino, Federica; Mardal, Kent-Andre; Zunino, Paolo.
Analysis and approximation of mixed-dimensional pdes on 3d-1d domains coupled with lagrange multipliers. SIAM Journal on Numerical Analysis 2021 ;Volum 59.(1) s. 558-582
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14 Mitusch, Sebastian; Funke, Simon Wolfgang; Kuchta, Miroslav.
Hybrid FEM-NN models: Combining artificial neural networks with the finite element method. Journal of Computational Physics 2021
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2020
15 Buccino, Alessio Paolo; Kuchta, Miroslav; Schreiner, Jakob Emil; Mardal, Kent-Andre.
Improving Neural Simulations with the EMI Model. I: Modeling Excitable Tissue -- The EMI Framework. Springer 2020 ISBN 978-3-030-61156-9. s. 87-98
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16 Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre; Thompson, Travis.
An observation on the uniform preconditioners for the mixed Darcy problem. Numerical Methods for Partial Differential Equations 2020
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17 Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre.
Robust preconditioning for coupled Stokes–Darcy problems with the Darcy problem in primal form. Computers and Mathematics with Applications 2020
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18 Kuchta, Miroslav; Mardal, Kent-Andre.
Iterative Solvers for EMI Models. I: Modeling Excitable Tissue -- The EMI Framework. Springer 2020 ISBN 978-3-030-61156-9.
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19 Kuchta, Miroslav; Mardal, Kent-Andre; Rognes, Marie Elisabeth.
Solving the EMI Equations using Finite Element Methods. I: Modeling Excitable Tissue -- The EMI Framework. Springer 2020 ISBN 978-3-030-61156-9.
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2019
20 Buccino, Alessio Paolo; Kuchta, Miroslav; Jæger, Karoline Horgmo; Ness, Torbjørn V; Berthet, Pierre; Mardal, Kent-Andre; Cauwenberghs, Gert; Tveito, Aslak.
How does the presence of neural probes affect extracellular potentials?. Journal of Neural Engineering 2019 ;Volum 16.(2) s. -
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21 Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre.
Multigrid Methods for Discrete Fractional Sobolev Spaces. SIAM Journal on Scientific Computing 2019 ;Volum 41.(2) s. 948-972
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22 Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre.
Sub-voxel Perfusion Modeling in Terms of Coupled 3d-1d Problem. I: Numerical Mathematics and Advanced Applications ENUMATH 2017. Springer Berlin/Heidelberg 2019 ISBN 978-3-319-96415-7. s. 35-47
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23 Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael.
On the singular Neumann problem in linear elasticity. Numerical Linear Algebra with Applications 2019 ;Volum 26.(1)
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24 Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael.
Preconditioning trace coupled 3d-1d systems using fractional Laplacian. Numerical Methods for Partial Differential Equations 2019 ;Volum 35.(1) s. 375-393
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25 Rabault, Jean; Jensen, Atle; Kuchta, Miroslav.
Deep Reinforcement Learning reduces cylinder drag in a 2D flow simulation: a first step towards novel Active Flow Control methodology?. Machine Learning for Computational Fluid and Solid Dynamics; 2019-02-19 - 2019-02-21
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26 Rabault, Jean; Kuchta, Miroslav; Jensen, Atle; Reglade, Ulysse Antoine; Cerardi, Nicolas.
Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control. Journal of Fluid Mechanics 2019 ;Volum 865. s. 281-302
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27 Ramirez De La Torre, Reyna Guadalupe; Kuchta, Miroslav; Jensen, Atle.
3D Particle Tracking Velocimetry applied to bubble plumes from a free falling jet. ISPIV 2019; 2019-07-22 - 2019-07-24
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2018
28 Rabault, Jean; Kuchta, Miroslav; Jensen, Atle; Reglade, Ulysse; Cerardi, Nicolas.
Artificial Neural Networks trained through Deep Reinforcement Learning discover control strategies for active flow control. arXiv.org 2018
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29 Rabault, Jean; Kuchta, Miroslav; Jensen, Atle; Reglade, Ulysse; Nicolas, Cerardi.
Deep Reinforcement Learning achieves flow control of the 2D Karman Vortex Street. arXiv.org 2018
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30 Rabault, Jean; Nicolas, Cerardi; Reglade, Ulysse; Kuchta, Miroslav; Jensen, Atle.
An Artificial Neural Network trained through Deep Reinforcement Learning achieves Active Flow Control of the 2D Karman Vortex Street behind a Cylinder at moderate Reynolds number. 71st Annual Meeting of the APS Division of Fluid Dynamics; 2018-11-18 - 2018-11-20
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2017
31 Haga, Per Thomas; Pizzichelli, Giulia; Mortensen, Mikael; Kuchta, Miroslav; Pahlavian, Soroush Heidari; Sinibaldi, Edoardo; Martin, Bryn A.; Mardal, Kent-Andre.
A numerical investigation of intrathecal isobaric drug dispersion within the cervical subarachnoid space. PLOS ONE 2017 ;Volum 12.(3)
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32 Tveito, Aslak; Jæger, Karoline Horgmo; Kuchta, Miroslav; Mardal, Kent-Andre; Rognes, Marie Elisabeth.
A cell-based framework for numerical modeling of electrical conduction in cardiac tissue. Frontiers in Physics 2017 ;Volum 5.
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2016
33 Kuchta, Miroslav; Nordaas, Magne; Verschaeve, Joris C. G.; Mortensen, Mikael; Mardal, Kent-Andre.
Preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains. SIAM Journal on Scientific Computing 2016 ;Volum 38.(6) s. B962-B987
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2015
34 Kuchta, Miroslav; Mardal, Kent-Andre; Mortensen, Mikael.
Characterization of the space of rigid motions in arbitrary domains. I: Proceedings of MekIT'15 Eighth National Conference on Computational Mechanics. International Center for Numerical Methods in Engineering (CIMNE) 2015 ISBN 97884944244-96. s. 259-274
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35 Kuchta, Miroslav; Tobie, Gabriel; Miljkovic, Katarina; Behounkova, Marie; Soucek, Ondrej; Choblet, Gael; Cadek, Ondrej.
Despinning and shape evolution of Saturn's moon Iapetus triggered by a giant impact. Icarus (New York, N.Y. 1962) 2015 ;Volum 252. s. 454-465
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36 Mortensen, Mikael; Kuchta, Miroslav; Mardal, Kent-Andre; Verschaeve, Joris C. G..
BEND|P|Y: Python framework for computing bending of complex plate-beam systems. I: Proceedings of MekIT'15 Eighth National Conference on Computational Mechanics. International Center for Numerical Methods in Engineering (CIMNE) 2015 ISBN 97884944244-96. s. 307-320
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2013
37 Kuchta, Miroslav; Mortensen, Mikael.
A second order fast sweeping method for the Eikonal equation based on minimization. I: Proceedings of the 26th Nordic Seminar on Computational Mechanics. : Simula Research Laboratory 2013 ISBN 978-82-92593-12-7. s. 145-148
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