Publications
Submitted articles
SF, E Burman, ER Johnson
Attached and separated rotating flow over a finite height ridge
Submitted journal article (2024),
arxiv:2402.15615 [physics.flu-dyn]
SF, T Knoke, MC Steinbach, AK Wenske, T Wick
Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements
Submitted proceedings article (2024),
arxiv:2402.0020 [math.NA]
SF, J Reichle, S Volkwein
A non-intrusive neural-network based gradient algorithm for parameter estimation in non-stationary elasticity
Submitted proceedings article (2023),
arxiv:2312.1737 [math.NA]
Publications in peer-reviewed journals
SF, Maneesh K Singh
An implicitly extended Crank-Nicolson scheme for the heat equation on
time-dependent domains
Journal of Scientific Computing 99, 64 (2024),
doi:10.1007/s10915-024-02530-4,
(arXiv preprint)
SF, Alexander Heinlein
Towards parallel time-stepping for the numerical simulation of
atherosclerotic plaque growth
Journal of Computational Physics 491, 112347 (2023), preprint:
arXiv:2203.06526 [math.NA]
SF, Gozel Judakova, Thomas Richter
A locally modified second-order finite element method for interface
problems
ESAIM: Mathematical Modelling and Numerical Analysis 57 (2023) 1355–1380, preprint:
arXiv:2007.13906 [math.NA]
SF, Fannie M Gerosa, Erik Burman, Miguel A Fernández
A mechanically consistent model for fluid-structure interactions with contact including seepage
Computer Methods in Applied Mechanics and Engineering 392, 114367 (2022), preprint:
arXiv:2103.11243 [math.NA]
Erik Burman, SF, Andre Massing
Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains
Numerische Mathematik 150, 423-4e8 (2022), preprint:
arXiv:1910.03054 [math.NA]
SF, Thomas Richter, Thomas Wick
LocModFE: Locally modified finite elements for approximating interface problems in deal.II
Software Impacts 8:100070 (2021), extended preprint:
arXiv:1806.00999 [math.NA]
Henry von Wahl, Thomas Richter, SF, Thomas Hagemeier
Falling balls in a viscous fluid with contact: Comparing numerical
simulations with experimental data
Physics of Fluids 33, 033304 (2021)
doi:10.1063/5.0037971,
(preprint)
Erik Burman, SF, Matthew W Scroggs
Weak imposition of Signorini boundary conditions on the boundary element method
SIAM Journal on Numerical Analysis 58(4) 2334-2350 (2020)
doi:10.1137/19M1281721 (preprint)
SF, Thomas Richter
Efficient approximation of flow problems with multiple scales in time
SIAM Multiscale Modeling and Simulation 18(2), 942–969 (2020)
doi:10.1137/19M1258396 (preprint)
Erik Burman, Miguel A Fernández, SF
A Nitsche-based formulation for fluid-structure interactions with contact
ESAIM Mathematical Modelling and Numerical Analysis 54(2), 531-564 (2020)
doi:10.1051/m2an/2019072 (preprints on
arXiv,
hal)
SF
An edge-based pressure stabilisation technique for
finite elements on arbitrarily anisotropic meshes
International Journal for Numerical Methods in Fluids 89 (10), 407-429 (2019)
doi:10.1002/fld.4701 (preprint)
Luis J Caucha, SF, Obidio Rubio
Finite element simulation of fluid dynamics and CO2 gas exchange in the alveolar sacs of the human lung
Computational and Applied Mathematics 37 (5), 6410-6432 (2018)
doi:10.1007/s40314-018-0692-5
(preprint)
Thomas Carraro, Simon Dörsam, SF, Daniel Schwarz
An adaptive Newton algorithm for optimal control problems with application to optimal electrode design
Journal of Optimization Theory and Applications 177 (2), 498-534 (2018)
doi:10.1007/s10957-018-1242-4 (preprint)
SF, Thomas Richter
A second-order time-stepping scheme for parabolic interface
problems with moving interfaces
ESAIM: Mathematical Modelling and Numerical Analysis 51, 1539-1560 (2017)
doi:10.1051/m2an/2016072
(preprint)
SF, Thomas Richter, Thomas Wick
Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in
ALE and fully Eulerian coordinates
Journal of Computational Physics, 321, 874-891 (2016)
doi:10.1016/j.jcp.2016.06.015
(
preprint)
SF, Heiko Andrä, Rene Pinnau, Oliver Tse
Optimizing fiber orientation in fiber-reinforced
composites using efficient upscaling
Computational Optimization and Applications 62(1), 111-129 (2015)
doi:10.1007/s10589-013-9630-z
(
preprint)
SF, Thomas Richter
A locally modified parametric finite element method for
interface problems
SIAM Journal on Numerical Analysis, vol. 52(5), 2315-2334
(2014)
doi:10.1137/130919489
(
preprint)
Stefan Knauf, SF, Thomas Richter, Rolf Rannacher
Towards a complete numerical description of lubricant film
dynamics in ball bearings
Computational Mechanics 53(2), 239-255 (2014)
doi:10.1007/s00466-013-0904-1
(
preprint)
SF, Rolf Rannacher, Winnifried Wollner
A priori error estimates for the finite element
discretization of optimal distributed control problems governed by the
biharmonic operator
Calcolo 50(3), 165-193 (2013)
doi:10.1007/s10092-012-0063-3
(
preprint)
Book contributions
SF
Chapter 12: Fluid-Structure Interaction with Contact
in:
Fluid-Structure Interactions: Models, Analysis and Finite Elements by Thomas Richter, p.399-416, Springer (2017)
SF, Thomas Richter
Chapter 3: An accurate Eulerian approach for fluid-structure interactions
in:
Fluid-Structure Interaction: Modeling, Adaptive Discretisations and Solvers, p. 69-126, Radon Series on Computational and Applied Mathematics, de Gruyter (2017)
Peer-reviewed proceedings
SF, A. Heinlein:
Efficient coarse correction for parallel time-stepping in plaque growth simulations, Proceedings of the 8th ECCOMAS Congress (2022),
doi:10.23967/eccomas.2022.015
SF, Alexander Heinlein, Thomas Richter
On temporal homogenization in the numerical simulation of atherosclerotic plaque growth
Proceedings in Applied Mathematics and Mechanics (PAMM), 21:e202100055 (2021),
doi:10.1002/pamm.202100055 (arXiV preprint)
Erik Burman, Miguel A Fernández, SF, Fannie M Gerosa
3D-2D Stokes-Darcy coupling for the modelling of seepage with an application to fluid-structure interaction with contact
to appear in Enumath Proceedings 2019,
arXiv:1912.08503 [math.NA]
SF, Thomas Richter, Thomas Wick
Eulerian techniques for
fluid-structure interactions - Part I: Modeling and
simulation
Lecture Notes in Science and Engineering, Proceedings of
ENUMATH 2013,
doi:10.1007/978-3-319-10705-9_74
(
preprint)
SF, Thomas Richter, Thomas Wick
Eulerian techniques for
fluid-Structure interactions - Part II: Applications
Lecture Notes in Science and Engineering, Proceedings of
ENUMATH 2013,
doi:10.1007/978-3-319-10705-9_75
(
preprint)
Workshop reports
SF, Thomas Richter
Discretization of Parabolic Problems on Moving Domains with Moving Interfaces Oberwolfach Reports, vol. 55 (2015),
doi: 10.4171/OWR/2015/55
Software
SF, Thomas Richter, Thomas Wick
An implementation of a locally modified finite element method for interface problems in deal.II
zenodo (2018),
doi: 10.5281/zenodo.1457758
About myself
A summary of my scientific profile and research activities can be found in the
GAMM Rundbrief 02/19 (in German),
pages 23-24
Theses
Modelling and Simulation of Fluid-Structure Interactions with Contact and Multiple Scales in Time
Habilitation thesis (cumulative), University of Konstanz (2024)
(pdf)
Eulerian finite element methods for interface problems and fluid-structure interactions
PhD thesis, Heidelberg University (2016),
link
Verteilte optimale Steuerung für den biharmonischen
Operator
Diploma thesis, Heidelberg University (2011)
Teaching manuscipts
Numerische Mathematik Teil 2 - Numerische Methoden der Analysis
Vorlesungsskriptum Universität Konstanz (2020, in German),
link
Presentations given on workshops, conferences and colloquia
2024
Possibilities and Limitations of Neural Networks in the Solution of Partial Differential Equations
Habilitationsvortrag, University of Konstanz, January 2024
2023
Enumath 2023, Lisbon, September 2023
A mechanically consistent model for fluid-structure interactions with contact including seepage GAMM Dresden, May/June 2023
Workshop: Numerik in BaWü, University of Freiburg, May 2023
Workshop on Computational Science and Engineering, Groß Schwansee (Keynote Speaker), March 2023
SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam, February 2023
2022
Online-Workshop: Encuentro Cientifico Internacional (EICYTEC), Tacayaca, Peru (Keynote Speaker), in Spanish, October 2022
Oberseminar Numerical Optimization, University of Konstanz, October 2022
Peruvian Conference on Scientific Computing, Cusco, Peru, September 2022
GAMM 2022, Aachen, August 2022
Eccomas Congress 2022, Oslo, June 2022
2021
A unified Nitsche approach for fluid-structure interactions with contact
GAMM 2020@21, Kassel, Germany (digital), March 2021
A unified Nitsche approach for fluid-structure interactions with contact
Eccomas World Congress of Computational Mechanics, Paris, France (digital), January 2021
2020
Das Studium und die Rolle der Mathematik am Beispiel von COVID19
Studieninformationstag (digital), Universität Konstanz, November 2020
2019
A unified Nitsche approach for fluid-structure interactions with contact
Joint Inria-LJLL Seminar on Scientific Computing, Paris, France, November 2019
A temporal multi-scale approach for flow problems and its application to atherosclerotic plaque growth
ENUMATH 2019, Egmond aan Zee, The Netherlands, September 2019
A unified Nitsche approach for fluid-structure interactions and contact
Eccomas X-DMS, Lugano, Switzerland, July 2019
An adaptive Newton algorithm for optimal control problems with application to optimal electrode design and
A unified Nitsche approach for fluid-structure interactions and contact
MAFELAP, Brunel University London, UK, June 2019
Modelling and simulation of mechano-chemical fluid-structure
interaction with application to atherosclerotic plaque growth
Towards an integrated numerical heart model, Bad Herrenalb, April 2019
Nitsche-type formulations for fluid-structure interactions and contact
Computational Methods for Interface Problems, University College London, January 2019
2018
Nitsche-based Eulerian formulations for fluid-structure interactions with contact
Oberseminar Numerische Mathematik, TU Dortmund, November 2018
Modelling and simulation of mechano-chemical fluid-structure
interaction with application to atherosclerotic plaque growth
Symposium: Modeling, Simulation and Optimization of the Cardiovascular System, Magdeburg, October 2018
Fluid-structure interactions with contact using Nitsche's method
Workshop Current Trends and Open Problems in Computational Solid Mechanics, Hannover, October 2018
Fluid-structure interactions with contact using Nitsche's method
Chemnitz Finite Element Symposium, Germany, September 2018
A Nitsche-based contact formulation for fluid-structure interactions with contact
Scientific Computing Seminar, Heidelberg University, Germany, June 2018
A Nitsche-based contact formulation for fluid-structure interactions with contact
ECCM-ECFD 2018, Glasgow, UK, June 2018
Fluid-structure interactions with contact using Nitsche's
method
16th European Finite Element Fair, Heidelberg, Germany, June 2018
Fluid-structure interactions with contact using Nitsche's
method
CANUM, Cap d'Agde, France, May 2018
2017
A fully Eulerian approach for fluid-structure interactions with large displacements and contact
Applied Mathematics Seminar, University College London, UK, October 2017
Long-term simulation of large deformation, mechano-chemical
fluid-structure interactions
with application to plaque growth in blood vessels
ENUMATH 2017, Voss, Norway, September 2017
A fully Eulerian approach for fluid-structure interactions with contact
GAMM 2017, Weimar, Germany, March 2017
A fully Eulerian approach for fluid-structure interactions with contact
Oberseminar Numerik, University of Magdeburg, Germany, February 2017
A fully Eulerian approach for fluid-structure interactions with contact
Scientific Computing Colloquium, Florida State University, USA, January 2017
2016
A fully Eulerian approach for fluid-structure interactions with contact
Symposium: Simulation and Optimization of Extreme Fluids 2016, Heidelberg, Germany, October 2016
Accurate spatial and temporal discretization technique for
interface problems and fluid-structure interactions in Eulerian
coordinates
MAFELAP, Brunel University London, UK, June 2016
A fully Eulerian approach for fluid-structure interactions with contact
14th Finite Element Fair, Bonn, Germany, May 2016
Accurate spatial and temporal discretization technique for
interface problems and fluid-structure interactions in Eulerian
coordinates
Symposium: Modelling, Adaptive Discretizations and Solvers for Fluid-Structure
Interactions, RICAM Linz, Austria, January 2016
2015
Recent advances in the Fully Eulerian approach for
fluid-structure interaction problems
6th International Conference on High Performance Scientific Computing,
Hanoi, Vietnam, March 2015
2014
A fully Eulerian approach for
fluid-structure interaction problems
Research Seminar at RICAM Linz, Austria, December 2014
Recent advances in the Fully Eulerian approach for
fluid-structure interaction problems
Symposium: Simulation and Optimization of Extreme Fluids, Heidelberg, Germany, November 2014
A computational approach for problems involving moving
interfaces
PDESoft 2014, Heidelberg, Germany, July 2014,
doi:10.6084/m9.figshare.1109909
A locally modified parametric finite element method for interface problems
2nd International Conference on Numerical Methods in Multiphase
Flow, Darmstadt,
Germany, June 2014
2013
Numerical methods for fluid-structure interaction problems
Annual Colloquium of the Heidelberg Graduate School (HGS), Speyer, Germany, November 2013
An efficient algorithm for optimizing fiber orientation in fiber-reinforced
composites
3rd European Conference on Computational Optimization (EUCCO), Chemnitz, Germany, July 2013
A locally modified parametric finite element method for
interface problems
11th European Finite Element Fair, Heraklion, Greece, May 2013
La matemática numérica - Estado y desarrollo
actual
Seminar, Universidad Nacional de Trujillo, Peru, February 2013
2010
Optimal control problems governed by the biharmonic operator
Fraunhofer Institute for Industrial Mathematics, Kaiserslautern,
Germany, August 2010
