You can find the list of publications in SciPort RLP at

www.rlp-forschung.de/public/people/Anna_Hundertmark/publications

PREPRINTS

• On the compactness of artificial compressibility approximations of weak solutions for fluid problems in deforming domains, (with S. Schmitz), preprint 2026, arxiv.org/abs/2609.23738
• FSI modeling of case-specific nonlinear carotid artery mechanics and the role of outlet boundary conditions ( with T. Probst, A. Shiravand, G. Cattaneo), preprint 2026, arxiv.org/abs/2609.26038
• Parameter-conditioned interpretable U-Net surrogate model for data-driven predictions of convection-diffusion-reaction processes (with M. U. L. Kastor, J. Rottmayer, N. R. Gauger), preprint 2026, http://arxiv.org/abs/2601.22654

• Design study of a rocket-borne free-flow aerosol collector for deployment at supersonic speeds using numerical efficiency analyses ( with B. Klug, R. Weigel, K. Kandler, M. Baumgartner, T. Böttger, K. D. Wilhelm, H. Rott, T. Kenntner), 2024.

  Public Peer Review: https://egusphere.copernicus.org/preprints/2025/egusphere-2025-510/

OPEN EDUCATION RESOURCES

• A. Hundertmark, E. Niehaus, Wikiversity Course: Spatial Modeling, Learning Resource on Spatial Epidemiological Modeling (Open Educational Resource), 2020, https://de.m.wikiversity.org/wiki/Kurs:Räumliche_Modellbildung.
• A. Hundertmark, Wikiversity Course: Ordinary Differential Equations (Open Educational Resource), 2024, Course: Ordinary Differential Equations – Wikiversity.

SCIENTIFIC JOURNALS and CONFERENCE PROCEEDINGS

• Simulation of Compliance in a Humanoid Carotid Artery with Resistance Boundary Conditions, with K. Richter, T. Probst, Proceedings of Topical Problems of Fluid Mechanics 2025, Prague, 2025, pp. 201, https://doi.org/10.14311/TPFM.2025.027
• Fabrication, characterization, and numerical validation of a novel thin-walled hydrogel vessel model for cardiovascular research based on a patient-specific stenotic carotid artery bifurcation (with Shiravand, A., Richter, K., Willmann, P., Eulzer P., Lawonn K., Cattaneo G.), Sci Rep14, 16301 (2024). https://doi.org/10.1038/s41598-024-66777-5
• Instantaneous Visual Analysis of Blood Flow in StenosesUsing Morphological Similarity, ( with P. Eulzer, K. Richter, R. Wickenhöfer, C. M. Klingner, K. Lawonn), Computer Graphics Forum, Vol. 43 (2024), No. 3,
  http://dx.doi.org/10.1111/cgf.15081
• COMSOL® simulations of supersonic flow fields to study trajectories of aerosols and their impact efficiency on a rocket-borne particle collector, Klug B. S., Hundertmark A., Weigel R., COMSOL Conference 2023 Munich, 2023, ISBN 978-1-7364524-1-7, download PDF
• Utilizing COMSOL® in a workflow to assess stroke risks in a large cohort of patients with carotid artery disease, Probst T., Richter K., Hundertmark, A., COMSOL Conference 2023 Munich, 2023, ISBN 978-1-7364524-1-7, download PDF.
• Visualizing Carotid Stenoses for Stroke Treatment and Prevention(with P. Eulzer, K. Richter, M. Meuschke, R. Wickenhöfer, C. M. Klingner, K. Lawonn.), EUROVIS 2023 / T. W. Kuhlen and R. G. Raidou (Dirk Bartz Prize).
• Longitudinal Wall Shear Stress Evaluation Using a Centerline Projection Approach in Numerical Simulations of the Patient-Based Carotid Artery (with T. Probst, K. Richter, P. Eulzer, K. Lawonn), Comput Methods Biomech Biomed Engin. Mar 2024; 27(3):347-364, DOI: 10.1080/10255842.2023.2185478, arXiv:2204.04018
• Automatic Cutting and Flattening of Carotid Artery Geometries (with P. Eulzer, K. Richter, M. Meuschke, and K. Lawonn), in Proceedings of the Eurographics Workshop on Visual Computing for Biology and Medicine 2021, (Editors: S. Oeltze-Jafra, N. N. Smit, and B. Sommer), diglib
• The Effect of Turbulence on the Accretional Growth of Graupel (with Jost A., Szakall M., Diehl K., Mitra S. K., Klug B. S., Borrmann S.), Journal of the Atmospheric Sciences, 2019, published online doi.org/10.1175/JAS-D-18-0200.1
• On the convergence of fixed-point iterations for geometry in a fluid-structure interaction problem, Journal of Differential Equations, Vol. 267, Issue 12, 2019, pp. 7002–70462, published online at doi.org/10.1016/j.jde.2019.07.009
• A rescaling algorithm for the numerical solution to the porous media equation in a two-component domain (with J. Filo), accepted in Communications in Nonlinear Science and Numerical Simulation, published online March 31, 2016, doi:10.1016/j.cnsns.2016.03.011
• Numerical simulation of glottal flow in a surgically altered larynx (with R. Lehmann, M. Hess, F. Müller), Proceedings in Applied Mathematics and Mechanics 2016, Ed. Society for Applied Mathematics and Mechanics, Vol. 16, Issue 1, pp. 843–844, DOI: 10.1002/pamm.201610410
• On the existence of a weak solution to the coupled fluid-structure interaction problem for a non-Newtonian shear-dependent fluid (with M. Lukacova, S. Necasova), *Journal of the Mathematical Society of Japan*, Vol. 68, No. 1, January 2016, 193–243, (accepted 2014), doi:10.2969/jmsj/06810193
• Kinematic splitting algorithm for fluid-structure interaction in hemodynamics (with M. Lukacova, G. Rusnakova), *Computer Methods in Applied Mechanics and Engineering* 265, 2013, 83–106, ScienceDirect
• Numerical simulation of glottal flow (with R. Lehmann, M. Hess, F. Mueller), Computers in Biology and Medicine 43/12, 2013, 2177–2185, ScienceDirect
• Numerical study of shear-dependent non-Newtonian fluids in compliant vessels (with M. Lukacova), Computers and Mathematics with Applications 60, 2010, 572–590, sciencedirect
• Large-time-step finite-volume evolution Galerkin methods (with M. Lukacova, F. Prill), *Journal of Scientific Computing*, Volume 48, Issues 1–3, 2011, pp. 227–240, SpringerLink, published online 2010, DOI:10.1007/s10915-010-9443-5
• 2D Navier-Stokes Equations in a Time-Dependent Domain with Neumann-Type Boundary Conditions (with J. Filo), Journal of Mathematical Fluid Mechanics 10, 2010, 1–46, SpringerLink, published online in 2008.
• Numerical Modeling of Shear-Thinning Non-Newtonian Flows in Compliant Vessels, Anna Zaušková and Mária Lukáčová-Medvid'ová, PAMM 2007, Vol. 7,pp.doi.org/10.1002/pamm.200700059
• Mathematical Modeling and Numerical Simulation of Blood Flow in Compliant Vessels (with M. Lukáčová-Medviďová), Proceedings of ECCOMAS 2008, Venice 2008
• Numerical Modeling of Shear-Thinning Non-Newtonian Flow in Compliant Vessels (with M. Lukáčová-Medviďová), Proceedings of ICIAM 2007, Zurich 2007
• Numerical Study of Shear-Dependent Non-Newtonian Fluids in Compliant Vessels (with M. Lukacova), TUHH Report, 2007.
• Mathematical Models of Flow in Elastic Tubes, Journal of Electrical Engineering, Vol. 55, No. 12/s, 2004, 32–35

BOOK CHAPTERS

• On the weak solution of the fluid-structure interaction problem for shear-dependent fluid (with M. Lukacova, S. Necasova), *Recent Developments of Mathematical Fluid Mechanics*, edited by H. Amann, Y. Giga, H. Kozono, H. Okamoto, and M. Yamazaki, Series of Advances in Mathematical Fluid Mechanics, Birkhäuser Verlag, ISBN 978-3-0348-0939-9, © 2016 (accepted 2014)
• Fluid-Structure Interaction for Shear-Dependent and Non-Newtonian Fluids, Topics in Mathematical Modeling and Analysis, (with M. Lukacova, G. Rusnakova), Jindrich Necas Center for Mathematical Modeling, Lecture Notes, Vol. 7, Part IV, 2012, 109–158

Data Sets

• A Dataset of Reconstructed Carotid Bifurcation Lumen and Plaque Models with Centerline Tree and Simulated Hemodynamics (2.0.0), Eulzer, P., Richter, K., Probst, T., Hundertmark, A., & Lawonn, K. (2024) [Dataset]. Zenodo. https://doi.org/10.5281/zenodo.10695923

THESIS

• Habilitation thesis: Mathematical Modeling of Nonlinear Physiological Flows, Johannes Gutenberg University Mainz, 2014
• Doctoral dissertation: 2D Navier-Stokes Equations in a Time-Dependent Domain, Comenius University, Bratislava, 2007
• Master’s Thesis: Some One- and Multi-Step Methods for Ordinary Differential Equations, (in Slovak), Comenius University, Bratislava, 2002

• Mathematical modeling and numerical simulation in applied fluid mechanics (e.g. physiological or geophysical and atmospheric fluid dynamics),
• Mathematical analysis for incompressible Newtonian and some non-Newtonian fluids in deformed domains,
• Modern numerical methods for fluid-structure interaction problems,
• Numerical simulation in digital medicine

Further to current research projects

1. Research Initiative of the Federal State of Rhineland-Palatinate, potential area "MSO: Modeling, Simulation, Optimization" at the Department of Mathematics, PRTU Kaiserslautern-Landau.
2. Collaborative project AI Care, CZS funding program "CZS Breakthroughs: AI in Health", duration 04/2024-03/2030, link to the project
3. BMBF joint project MLgSA: Data- and simulation-based exploration, analysis and treatment of vasoconstriction for the prevention of ischemic strokes, 05M20UNA, (subproject 4) 4/2020-4/2023, link to the project, see MLgSA at BMBF
4. DFG position, "Mathematical modeling and numerical simulation of fluid-structure interaction for complex viscous fluids", HU 1885/1-2, 09/2015-09/2017, 2015-2017, http://gepris.dfg.de/gepris/projekt/116969548
5. DFG position, "Mathematical modeling and numerical simulation of shear dependent non-Newtonian fluids in time-dependent domains", ZA 613/1-1, 2010-2013, http://gepris.dfg.de/gepris/projekt/116969548
6. Funding for young scientists at Comenius University (Grant UK) : "Mathematical models of flow in elastic vessels," No. 321, (2005)
7. Funding for young scientists at Comenius University (Grant UK) : "Mathematical models of flow in elastic vessels," No. 66, (2004)

Contributed research projects

• Adaptive semi-implicit FVEG methods for multidimensional systems of hyperbolic balance laws, DFG project, 2008-2009, p.i.: Prof. S. Noelle (RWTH Aachen), Prof. M. Lukacova (TUHH)
• Novel methods for the fluid-structure interaction for the non-Newtonian models of the blood flow, EU-HRM Stipendium in: 6th Framework Program, DEASE (Marie Currie Fellowship), 2006-2008

• from 4/2018: W3-Professorship for Applied Mathematics, Inst. for Mathematics, FB7 Natural and Environmental Sciences University of Koblenz-Landau, Campus Landau
• 8/2017: Appointment to the W3 professorship for Applied Mathematics in FB7 Natural and Environmental Sciences, University of Koblenz-Landau
• WS 2017/18: Substitute professorship (W2) - Numerics, Institute of Mathematics, JGU Mainz
• since 1/2016: Private lecturer at the Institute of Mathematics, JGU Mainz
• 12/2015: Habilitation at the Institute of Mathematics, JGU Mainz and teaching authorization in mathematics
• since 8/2010: Research Assistant, FB08, Institute of Mathematics, JGU Mainz (partly DFG-funded position)
• 06-08/2008: Post Doc in Necas Center for Mathematical Modeling, Karl's University, Prague
• 10/2006-07/2010: Research Assistant, TU Hamburg-Harburg, Institute for Numerical Simulation
• 01/2007: Doctorate D. in Applied Mathematics with Prof. Dr. Jan Filo, Comenius University Bratislava, Slovakia
• 09/1997-06/2002: Studied mathematics, Special subject Numerical Analysis and Optimization, Comenius University Bratislava, Slovakia
• 1979: born in Banská Bystrica, Slovakia

Current courses in the winter semester 2025/26:

• Lecture Partial Differential Equations

  (Tuesday 12-14 h, room C III 248, Wednesday 10-12 h, room I.007)

  • Exercise Partial Differential Equations: Anne von Nida

    (Friday 10-12 a.m., room C III 240)

• Mathematics Modeling

  (Monday 10 a.m. - 12 noon, room I 0.07 and Monday 2 p.m. - 4 p.m., room I 0.07)

Bachelor's and Master's theses with a mathematical focus in the variant A teacher training program and Bachelor's theses in the two-subject Bachelor's program are possible. Second assessor for MA theses in environmental sciences with mathematical modeling.

Main topics Bachelor's theses:

1. application-related mathematical problems and their solutions using numerical/iterative solution methods, application of mathematical software (Octave GeoGebra Maxima, COMSOL Multiphysics, etc.) Applied problems and their solution approaches via numerical and optimization methods as described in the book Haigh, J.: Mathematics in Everyday Life, Springer 2016.

Prerequisites for working on the topic from applied mathematics are the knowledge of numerics and modeling gained in Module 6

2. mathematical description of spatially and temporally varying processes using ordinary and partial differential equations, their derivation in mathematical physics. Equations of fluid dynamics.

3. differential equations in school: at the interface with subject didactics. Conceptual teaching content with motivating applications and computer-supported implementation can be developed here.

Main topics of Master's theses:

Mathematical and numerical modeling and simulation of various fluid dynamic aspects with multi-physical phenomena. Physiological, hemodynamic or aerodynamic applications are possible, for example:

1. fluid-solid interaction with elastic walls, kinematic splitting methods

2. multiphase fluids: falling droplets / rising bubbles,

3. particle dynamics in the flow,

4. diffusion processes with background flow

Development & analysis & implementation of new effective/optimized numerical algorithms can also be assigned as a topic.

Prerequisites: Fundamentals of differential equations and their discretization methods (Module 9, 10).

As a Bachelor's or Master's thesis, the modeling topic from the course Mathematics Modeling, submodule 6.3 can be deepened and further developed if necessary and after consultation.

In addition to open-source software (Octave, Maxima CAS), it is possible to use one of our class licenses for COMSOL Multiphysics (finite-element-based software for partial differential equations) as part of the Bachelor's or Master's thesis. For high-resolution 3-dimensional calculations, the resources of our parallel computing cluster in the university computing center can be used.