# Miroslav Kuchta

## Senior Research Scientist

- Department
- Numerical Analysis and Scientific Computing
- Organisation
- Simula Research Laboratory

- miroslav@simula.no

## Publications

### 2024

#### Journal Articles

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

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

arXiv

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

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

TBA

#### Book Chapters

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, measurements and data analysis (SEMA/SIMAI Collection on Microcirculation)

### 2023

#### Journal Articles

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

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

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

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

#### Proceedings, refereed

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

Rational approximation preconditioners for multiphysics problems

Numerical Methods and Applications (NMA 2022)

### 2022

#### Journal Articles

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

#### Book Chapters

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

#### Talks, invited

M. Kuchta

Fractional operators in coupled multiphysics problems with implicit coupling

LSSC'22

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

#### Talks, contributed

M. Kuchta

Preconditioners for multiphysics systems and the ubiquitous fractional Laplacian

Finite Element Circus UF 2022

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

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

#### Conference proceedings

M. Kuchta

Domain Decomposition Solvers for Operators with Fractional Interface Perturbations

Domain Decomposition Methods in Science and Engineering XXVII

### 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

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

#### Book Chapters

M. Kuchta and K. Mardal

Iterative Solvers for EMI Models

Modeling Excitable Tissue: The EMI Framework

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

Improving Neural Simulations with the EMI Model

Modeling Excitable Tissue: The EMI Framework

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

Solving the EMI Equations using Finite Element Methods

Modeling Excitable Tissue: The EMI Framework

### 2020

#### Journal Articles

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

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

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

Robust preconditioning of monolithically coupled multiphysics problems

arXiv preprint arXiv:2001.05527

### 2019

#### Journal Articles

T. Bærland, M. Kuchta and K. Mardal

Multigrid Methods for Discrete Fractional Sobolev Spaces

SIAM Journal on Scientific Computing

J. Rabault, M. Kuchta, A. Jensen, U. Réglade and N. Cerardi

Artificial neural networks trained through deep reinforcement learning discover control strategies for active flow control

Journal of Fluid Mechanics

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

M. Kuchta, K. Mardal and M. Mortensen

Preconditioning trace coupled 3D-1D systems using fractional Laplacian

Numerical Methods for Partial Differential Equations

M. Kuchta, K. Mardal and M. Mortensen

On the singular Neumann problem in linear elasticity

Numerical Linear Algebra with Applications

#### Proceedings, refereed

M. Kuchta

Assembly of multiscale linear PDE operators

Enumath

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

Sub-voxel Perfusion Modeling in Terms of Coupled 3d-1d Problem

Numerical Mathematics and Advanced Applications ENUMATH 2017

#### Talks, keynote

M. Kuchta and K. Mardal

Robust Preconditioners for Multiscale Systems in Biomechanics

12th International Conference on Large-Scale Scientific Computations, Sozopol, Bulgaria

#### Talks, invited

M. Kuchta

Multiscale and multiphysics models: High level implementation & preconditioning

Enumath 2019, the Netherlands

#### Talks, contributed

M. Kuchta and K. Mardal

Robust preconditioners for multiphysics problems involving porous flow in physiology modeling

ICIAM 2019, Valencia, Spain

#### Miscellaneous

T. Bærland, M. Kuchta, K. Mardal and T. Thompson

An Observation On The Uniform Preconditioners For The Mixed Darcy Problem

### 2017

#### Journal Articles

A. Tveito, K. H. Jæger, M. Kuchta, K. Mardal and M. E. Rognes

A cell-based framework for numerical modelling of electrical conduction in cardiac tissue

Frontiers in Physics, Computational Physics

P. T. Haga, G. Pizzichelli, M. Mortensen, M. Kuchta, S. H. Pahlavian, E. Sinibaldi, B. A. Martin and K. Mardal

A numerical investigation of intrathecal isobaric drug dispersion within the cervical subarachnoid space

PLoS ONE

#### PhD Thesis

M. Kuchta

Preconditioners for Singular Problems and Coupled Problems with Domains of Different Dimensionality

University of Oslo

### 2016

#### Journal Articles

M. Kuchta, M. Nordaas, J. C. G. Verschaeve, M. Mortensen and K. Mardal

Preconditioners for saddle point systems with trace constraints coupling 2D and 1D domains

SIAM Journal of Scientific Computing

#### Talks, contributed

M. Kuchta

Solving singular problems. The right way.

FEniCS'16 Workshop, Simula Research Laboratory, Oslo, Norway

### 2015

#### Proceedings, refereed

M. Kuchta, K. Mardal and M. Mortensen

Characterization of the space of rigid motions in arbitrary domains

MekIT'15 8th National Conference on Computational Mechanics

M. Mortensen, M. Kuchta, K. Mardal and J. Verschaeve

BEND|P|Y: Python framework for computing bending of complex plate-beam systems

MekIT'15 8th National Conference on Computational Mechanics

### 2013

#### Proceedings, refereed

M. Kuchta and M. Mortensen

A Second Order Fast Sweeping Method for the Eikonal Equation Based on Minimization

The Nordic Seminar on Computational Mechanics