Miroslav Kuchta

H. Herlyng, A. J. Ellingsrud, M. Kuchta, I. Jeong, M. E. Rognes and N. Jurisch-Yaksi

Advection versus diffusion in brain ventricular transport

bioRxiv

M. Causemann, M. Kuchta, R. Masri and M. E. Rognes

In-silico molecular enrichment and clearance of human intracranial spaces

TBA

A. J. Ellingsrud and M. Kuchta

A splitting, discontinuous Galerkin solver for the cell-by-cell electroneutral Nernst-Planck framework

TBA

I. Gjerde, M. Kuchta, M. E. Rognes and B. Wohlmuth

Directional flow in perivascular networks: mixed finite elements for reduced-dimensional models on graphs

Journal of Mathematical Biology

R. Masri, M. Zeinhofer, M. Kuchta and M. E. Rognes

The modelling error in multi-dimensional time-dependent solute transport models

ESAIM: Mathematical Modelling and Numerical Analysis

N. Dimola, M. Kuchta, K. Mardal and P. Zunino

Robust Preconditioning of mixed-dimensional PDEs on 3d-1d domains coupled with Lagrange multipliers

Quantitative Approaches to Microcirculation: Mathematical Models, Computational Methods and Data Analysis

M. Causemann, R. Masri, M. Kuchta and M. E. Rognes

Modelling molecular transport in human pial perivasculature

Lund Glymphatics Symposium

M. Kuchta

Robust iterative solvers for brain glymphatics

University of Pittsburgh, PA, USA

M. Kuchta

Parameter and domain-robust preconditioners for coupled multiphysics problems

WCCM, Vancouver, Canada

M. Causemann and M. Kuchta

Efficient and scalable solvers for a cell-by-cell dual-poroelasticity problem

FEniCS conference 2024, Oslo, Norway

M. Kuchta

Modeling molecular transport in the human intracranial space

FEniCS Conference, Oslo, Norway

J. Haubner, O. Hellan, M. Zeinhofer and M. Kuchta

Learning Mesh Motion Techniques with Application to Fluid-Structure Interaction

arxiv

R. Masri, M. Kuchta and B. Riviere

Discontinuous Galerkin methods for 3D-1D systems

arxiv

A. Budisa, X. Hu, M. Kuchta, K. Mardal and L. T. Zikatanov

Algebraic multigrid methods for metric-perturbed coupled problems

SIAM J. Sci. Comput.

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

Å. Telle, J. D. Trotter, X. Cai, H. Finsberg, M. Kuchta, J. Sundnes and S. Wall

A cell-based framework for modeling cardiac mechanics

Biomechanics and Modeling in Mechanobiology

A. Budisa, X. Hu, M. Kuchta, K. Mardal and L. T. Zikatanov

Rational approximation preconditioners for multiphysics problems

Numerical Methods and Applications (NMA 2022)

M. Kuchta, S. G. Wubshet, N. K. Afseth, K. Mardal and K. H. Liland

Encoder–decoder neural networks for predicting future

Journal of Biophotonics

L. Bojarskaite, D. M. Bjørnstad, A. Vallet, K. M. G. Binder, C. Cunen, K. Heuser, M. Kuchta, K. Mardal and R. Enger

Sleep cycle-dependent vascular dynamics enhance perivascular cerebrospinal fluid flow and solute transport

bioRxiv

A. Budisa, X. Hu, M. Kuchta, K. Mardal and L. T. Zikatanov

HAZniCS – Software Components for Multiphysics Problems

ACM Transactions on Mathematical Software

B. Zapf, J. Haubner, M. Kuchta, G. Ringstad, P. K. Eide and K. Mardal

Investigating molecular transport in the human brain from MRI with physics-informed neural networks

Scientific Reports

W. M. Boon, T. Koch, M. Kuchta and K. Mardal

Robust Monolithic Solvers for the Stokes--Darcy Problem with the Darcy Equation in Primal Form

SIAM Journal on Scientific Computing

W. M. Boon, M. Hornkjøl, M. Kuchta, K. Mardal and R. Ruiz-Baier

Parameter-robust methods for the Biot–Stokes interfacial coupling without Lagrange multipliers

Journal of Computational Physics

Q. Hong, J. Kraus, M. Kuchta, M. Lymbery, K. Mardal and M. E. Rognes

Robust approximation of generalized Biot-Brinkman problems

Journal on Scientific Computing

A. Elmokashfi, S. W. Funke, T. Klock, M. Kuchta, V. Naumova and J. J. Uv

Digital tracing, validation, and reporting

Smittestopp − A Case Study on Digital Contact Tracing

M. Kuchta

Parameter-robust monolithic solvers for Stokes-Darcy/Biot systems

The 8th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Oslo, Norway

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

Numerical Solution of Fractional Differential Equations and Applications NSFDE&A’22

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

15th World Congress on Computation Mechanics

M. Kuchta, A. Budisa, X. Hu, L. T. Zikatanov and K. Mardal

Fractional Laplacians and Hybridized DG

Simula's Workshop on computational mechanics models on domains of heterogeneous dimensionality, Split, Croatia

M. Kuchta

Fractional operators in coupled multiphysics problems with implicit coupling

LSSC'22

M. Kuchta, W. M. Boon, T. Koch, K. Mardal and R. Ruiz-Baier

Parameter-robust monolithic solvers for coupled Biot/Darcy-Stokes models

27th International Domain Decomposition Conference, DD27

M. Kuchta

Preconditioners for multiphysics systems and the ubiquitous fractional Laplacian

Finite Element Circus UF 2022

Å. Telle, J. D. Trotter, X. Cai, M. Kuchta, H. Finsberg, J. Sundnes and S. Wall

Modeling cardiac mechanics using a cell-based framework

15th World Congress on Computational Mechanics (WCCM-XV), Yokohama, Japan

M. Kuchta

Domain Decomposition Solvers for Operators with Fractional Interface Perturbations

Domain Decomposition Methods in Science and Engineering XXVII

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

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

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

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

Solving the EMI Equations using Finite Element Methods

Modeling Excitable Tissue: The EMI Framework

M. Kuchta and K. Mardal

Iterative Solvers for EMI Models

Modeling Excitable Tissue: The EMI Framework

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

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

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

arXiv preprint arXiv:2011.05236

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