Former PhD Students of Prof. Ralf Hiptmair

(ordered by the date of defense)

1. Dr. Jörg Ostrowski

He did his PhD as an employee of the DFG sponsored Transferbereich 26 at the University of Tübingen with topic “Numerical simulation of inductive heating in car manufacturing'' from October 2000 through October 2003. In his thesis “Boundary Element Methods for Inductive Hardening” he studied and implemented the symmetric coupling of boundary elements and finite elements for the linear eddy current boundary value problem.

After his PhD graduation Dr. Ostrowski joined ABB Corporate Research, Baden, Dättwil, Switzerland, where he is still employed.

Joint publications:

  • R. HIPTMAIR AND J. OSTROWSKI, Generators of $ H_1(\Gamma_{\symbol{104}},\mathbb{Z})$ for triangulated surfaces: Construction and classification, SIAM J. Computing, 31 (2002), pp. 1405-1423.

  • R. HIPTMAIR AND J. OSTROWSKI, Coupled boundary element scheme for eddy current computation, J. Engr. Math., 51 (2004), pp. 231-250.

  • J. OSTROWSKI, R. HIPTMAIR, AND H. FUHRMANN, Electric 3D-simulation of metallized film capacitors, COMPEL, 26 (2007), pp. 524-543.

  • R. HIPTMAIR, F. KRÄMER, AND J. OSTROWSKI, Robust maxwell formulations, IEEE Trans. Magnetics, (2008). To appear.

2. Dr. Vasile Gradinaru

Vasile Gradinau joined the Sonderforschungsbereich 382 “Computational Physics” at the University of Tübingen in 1998 as a member of the Nachwuchsgruppe (team of young researchers) about “Discrete differential forms and computation of electromagnetic fields”. He finished his thesis on “Whitney elements on sparse grids'' in July 2002, in which he constructed and analyzes sparse grid spaces of low order discrete differential forms.

From 2002 to 2008 he was been employed as assistant professor at the University of Tübingen in the group of Christian Lubich. In 2008 he joined the Seminar for Applied Mathematics of ETH Zurich as a senior researcher.

Joint publications:

  • V. GRADINARU AND R. HIPTMAIR, Whitney elements on pyramids, Electron. Trans. Numer. Anal., 8 (1999), pp. 154-168.

  • V. GRADINARU AND R. HIPTMAIR, Multigrid for discrete differential forms on sparse grids, Computing, 71 (2003), pp. 17-42.

  • V. GRADINARU AND R. HIPTMAIR, Whitney forms on sparse grids, Numer. Math., 93 (2003), pp. 471-495.

3. Dr. Tanja Bubeck

She joined the Nachwuchsgruppe (team of young researchers) of SFB 382 “Computational Physics” at the University of Tübingen in the beginning of 1999. There she worked on combining Harry Yserentant's finite mass method with continuum field models. She finished her thesis on “The Finite Mass Method with Fields” in 2003.

Joint publications:

  • T. BUBECK, R. HIPTMAIR, AND H. YSERENTANT, The finite mass mesh method, Computing and Visualization in Science, 8 (2005), pp. 49-68.

4. Dr. Patrick Meury

Patrick Meury sought exile at ETH Zürich in the beginning of 2003 after obtaining his diploma in mathematics at Basel. His worked in the framework of an SNF sponsored project on “Stable Boundary Element Galerkin Schemes for Direct Acoustic and Electromagnetic Scattering”. He investigated stabilized combined field boundary integral equations and their coupling with finite elements. He started the LehrFEM project of easy-to-use MATLAB templates for the implementation of (non-standard) finite element schemes in 2D. In August 2007 he submitted his thesis on “Stable Finite Element Boundary Element Galerkin Schemes for Acoustic and Electromagnetic Scattering”.

Right after his graduation he gave in to the lure of money and joined the Bank Sarasin in Basel. There he is employed in the risk office working on financial modelling. Really, he is still doing mathematics.

Joint publications:

  • R. HIPTMAIR AND P. MEURY, Stabilized FEM-BEM coupling for Helmholtz transmission problems, SIAM J. Numer. Anal., 44 (2006), pp. 2107-2130.

  • R. HIPTMAIR AND P. MEURY, Stabilized FEM-BEM coupling for Maxwell transmission problems, in Modelling and Computations in Electromagnetics, H. Ammari, ed., vol. 59 of lecture Notes in Computational Science and Engineering, Springer, Berlin, 2007, pp. 1-39.

5. Dr. Kersten Schmidt

Kersten Schmidt joined the Seminar for Applied Mathemtics in 2002 and started his PhD project in 2003 in the framework of an ETH internal resaearch project on “High resolution numerical simulation of electromagnetic fields in thin conducting sheets”. Throughout his stint at the SAM he committed himself to the development of the object oriented finite element code CONCEPTS.

Beside his PhD work he conducted research in various directions: he investigated hp-FEM for the calculation of the band structure of photonic crystals and for the solution of electromagnetic field problems on complicated geometries (ABB sponsored research project).

In summer 2008 he sucessfully defended his thesis on "High-order Numerical Modelling of Highly Conducting Thin Sheets".

After a short stint as PostDoc at the Hausdorff Center for Mathematics at the Universität Bonn he did an SNF sponsored PostDoc at INRIA with P. Joly. Currently he is head of a junior research group at TU Berlin.

Joint publications:

  • K.  SSCHMIDT, O. STERZ, AND R. HIPTMAIR, Estimating the eddy-current modelling error, IEEE Trans. Magnetics, 44 (2008), pp. 686-689.

6. Dr. Marc Auer (Benedikt Zeller)

Benedikt Zeller, who is an ETH graduate in mathematics, had already been working on the mathematical analysis of the spherically symmetric Einstein-Dirac system, when he contacted Prof. R. Hiptmair in 2003 seeking advice on possible numerical approaches for the solution of this non-linear system of PDEs. He got intrigued by the potential of numerical simulation and shifted the focus of his thesis project accordingly. He developed a charge conserving discretization and implemented it in a very efficient simulation code on ETH's linux cluster and achieved exicting new insights into qualitative properties of solutions of the spherically symmetric Einstein-Dirac system. In October 2009 he defended his thesis on "The spherically symmetric Einstein-Dirac system".

For several years he worked as a grammer school teacher for mathematics and physics at the Gymnasium Liechtenstein and tried to imbue young people with his enthusiasm for science. After having failed (partly), he decided the join the HTW Chur as a lecturer for Technische Berufsmatura.

Joint publications:

  • B. Zeller and R. Hiptmair, Conservative discretization of the Einstein-Dirac equations in spherically symmetric spacetime, Classical and Quantum Gravity, 23 (2006), pp. S615--S634.

7. Dr. Gisela Phillips (formerly Widmer)

Gisela Widmer joined the Seminar for Applied Mathematics in 2004 after having graduated from the RW/CSE curriculum of ETH Zurich with a diploma thesis on Auxiliary Space Method for Edge Elements. Her PhD project on Sparse Finite Elements for Radiative Transfer arose from an industrial project on the simulation if circuit breakers. For her breakthrough algorithmic developments Gisela Widmer was awarded the 2nd BGCE Student Prize at the SIAM conference on Computational Science and Engineering, Miami, 2009. In September 2009 she defended her thesis on "Sparse finite elements for radiative transfer".

Gisela Widmer had always wanted to work as a teacher and already in 2008 she started a part-time teacher's position at a Gymnasium. We hope that she can convey her enthusiasm for computational mathematics to many of her students.

Joint publications:

  • R. Hiptmair, G. Widmer, and J. Zou, Auxiliary space preconditioning in H(curl), Numer. Math., 103 (2006), pp. 435--459.

  • G.~Widmer, R.~Hiptmair, and C.~Schwab, Sparse adaptive finite elements for radiative transfer, J. Comp. Phys., 227 (2008), pp. 6071--6105.

  • R. Hiptmair, G. Sinha and G. Phillips Multiple point evaluation on combined tensor product supports, Numerical Algorithms (2012)

8. Dr. Holger Heumann

Holger Heumann joined the Seminar for Applied Mathematics of ETH Zürich in September 2006 after having graduated from the University of Heidelberg with a Diploma in Mathematics. In March 2011 he finished his PhD thesis on Eulerian and Semi-Lagrangian Methods for Advection-Diffusion of Differential Forms. In September 2011 he started a postdoctoral position at the Laboratoire de recherche conventionne CEA-CNRS sur la Fusion Controlee in Nice, France.

During his time at SAM Holger Heumann was the lead developer of the LehrFEM finite element MATLAB library from 2008. In 2009 he was awarded a fellowship by the Chinese University of Hong Kong and he spent two months there.

Joint publications:

  • H. Heumann and R. Hiptmair, Refined convergence theory for semi-Lagrangian schemes for pure advection, Submitted, SAM Report 2011/60

  • H. Heumann and R. Hiptmair, Convergence of lowest order semi-Lagrangian schemes, Submitted, SAM Report 2011/47

  • H. Heumann, R. Hiptmair, K. Li and J.-C. Xu Semi-Lagrangian methods for advection of differential forms, SAM-Report 2011-21, Submitted to BIT.

  • H. Heumann, R. Hiptmair Eulerian and Semi-Lagrangian Methods for Convection-Diffusion for Differential Forms, Disc. Cont. Dyn. Sys., 29 (2010), pp.~1471-1495.

  • H. Heumann, R. Hiptmair Extrusion contraction upwind schemes for convection-diffusion problems, SAM-Report 2008-30

9. Dr. Andrea Moiola

Andrea Moiola graduated with maximal score from the University of Pavia in 2008 and then started a PhD position at the Seminar for Applied Mathematics of ETH Zürich working on an SNF funded project on Plane Wave Discontinuous Galerkin Methods. He finished his thesis on Trefftz Discontinuous Galerkin Methods for Time-Harmonic Wave Propagation Problems in August 2011. At the same time he successfully applied for an SNF scholarship for a two year postdoctoral stay at the university of Reading hosted by Prof. S. Chandler-Wilde.

Joint publications:

  • R. Hiptmair and A. Moiola and I. Perugia, Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations, Accepted, Mathematics of Computation (2011), SAM Report 2011/09

  • R. Hiptmair and A. Moiola and I. Perugia, Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation: Analysis of the p-version, SIAM J. Numer. Anal., 49/1 (2011), pp. 264-284, SAM Report 2009/20, doi

  • A. Moiola and R. Hiptmair and I. Perugia, Vekua theory for the Helmholtz operator, ZAMP, 62/5 (2011), pp. 779-807, doi

  • R. Hiptmair and A. Moiola and I. Perugia, Stability results for the time-harmonic maxwell equations with impedance boundary conditions, M3AS, 21/11 (2011), pp. 2263-2287, SAM Report 2010/39, doi

  • A. Moiola and R. Hiptmair and I. Perugia, Plane wave approximation of homogeneous Helmholtz solutions, Accepted, ZAMP, 62/5 (2011), pp. 809-837, doi

  • R. Hiptmair and A. Moiola and I. Perugia Trefftz discontinuous Galerkin methods for acoustic scattering on locally refined meshes Appl. Num. Mathm (2012)

10. Dr. Evelyne Knapp (formerly Huber)

Evelyne Knapp graduated from ETH Zürich with a MSc in Computational Science and Engineering in 2006. She joined the company Helbing Technik, but quit after two years, in order to pursue science at the Institute of Computational Physics of ZHAW Wintherthur, where she worked on the numerical simulation of OLED devices in the group of Dr. Beat Ruhstaller. In December 2012 she defended her thesis on ``Numerical Methods for Comprehensive Characterization of Charge Transport in Organic Light-Emitting Devices''. Currently she is still employed at ZHAW Wintherthur.

11. Dr. Eivind Fonn

Eivind Fonn graduated with a MS tech in Industrial Mathematics from NTNU Trondheim (Norway) and joined the Seminar for Applied Mathematics (SAM) of ETH Zürich in 2009, where he was employed as a PhD student in the project "Sparse Tensor Approximation Methods for High-Dimensional Transport Problems". In November 2013 he successfully defended his thesis on "Approximation in Space and Velocity for Kinetic Transport Equations".

Currently Eivind Fonn is a research scientist at the department of Applied Mathematics of SINTEF Information and Communication Technology, working at the Simulation group headquartered in Trondheim. He works with wind flow simulations, with particular emphasis on the isogeometric modeling of complicated computational domains.

E.~Fonn is a master of Rubik's cube and in his spare time he is developing statistical ranking systems.

Joint publications:

  • E. Fonn, P. Grohs, and R. Hiptmair, Hyperbolic cross approximation for the spatially homogeneous Boltzmann equation , Submitted, IMA J. Numer. Anal. (2013), SAM Report 2012/28

12. Dr. Sahar Sargheini

Actually, in a strict sense, Sahar was not my PhD student, because her principal supervisor was Prof. Christian Hafner from IFH, D-ITET, ETH Zurich. However, for several year Sahar had an office at SAM and I closely interacted with her. Therefore she is included in this list of my PhD students.

Sahar Sargheini joined ETH in 2011 with an engineering degree from the University of Tehran, Iran. She worked in the ETH CHIRP project on "Shape Calculus in Nano-Optics" and defended her thesis on "Shape sensitivity Analysis of Electromagnetic Scattering Problems" on Dec 1, 2015. Beside acquiring deep knowledge of mathmatics during her PhD project, Sahar also discovered her passion for sports, after I had persuaded her to try "SuperKondi".

Dr. Alberto Paganini

Alberto Paganini already did his MSc thesis at ETH Zürich on Impedance Boundary Conditions in Time Domain under my supervision. He joined the SAM as a PhD student in Spring 2011 on the project Shape Calculus in Nano-Optics. In December 2015 he defended his thesis on Numerical Shape Optimization with Finite Elements. He is now postdoctoral researcher at the Mathematical Institute of the University of Oxford.

Joint publications:

  • A. Paganini and S. Sargheini and R. Hiptmair and C. Hafner: Shape optimization of microlenses, Optics Express, 23/10 (2015), pp. 13099-13107, SAM Report 2015-15,
  • R. Hiptmair and A. Paganini: Shape optimization by pursuing diffeomorphisms, Comput. Methods Appl. Math., 15/3 (2015), pp. 291-305, SAM Report 2014-27
  • A. Paganini and L. Scarabosio and R. Hiptmair and I. Tsukerman: Trefftz ap- proximations: A new framework for nonreflecting boundary conditions, IEEE Trans. Magnetics (2015),
  • R. Hiptmair and A. Paganini and S. Sargheini: Comparison of approximate shape gradients, BIT Numerical Mathematics (2014), pp. 1-27, SAM Report 2013-30.
  • R. Hiptmair and M. Lopez-Fernandez and A. Paganini: Fast convolution quadrature based impedance boundary conditions, Journal of Computational and Applied Mathematics, 263 (2014), pp. 500-517, SAM Report 2013-02.

13. Dr. Laura Scarabosio

Laura Scarabosio graduated from Politecnico di Torino with a Master in Mathematical Engineering in 2011, and joined the Seminar for Applied Mathematics as a doctoral student in March 2012, working on a project on Shape Calculus on Nano-Optics. She did a thesis on Shape Uncertainty Quantification for Scattering Transmission Problems jointly supervised by Ralf Hiptmair and Christoph Schwab, which she defended successfully on May 20, 2016.

In September 2016 she is going to start a postdoctoral position at TU München in the group of Barbara Wohlmuth.

Joint publications:

  • R. Hiptmair, L. Scarabosio, C. Schillings and Ch. Schwab Large deformation shape uncertainty quantification in acoustic scattering, SAM-Report 2015-31, 2015.

14. Dr. Elke Spindler

Elke Spindler graduated from ETH Zurich with a Master Degree in Mathematics in April 2012 and then started a PhD at the Seminar for Applied Mathematics in the context of an SNF funded project on "Well-conditioned Boundary Integral Formulations for Scattering". In 2015 she won the Best Student Presentation Award of the Waves'15 International Conference. She finished her thesis on Second Kind Single-Trace Boundary Integral Formulations for Scattering at Composite Objects in May 2016 and defended it successfully on June 23, 2016.

Joint publications:

  • X. Claeys and R. Hiptmair and E. Spindler Second-Kind Boundary Integral Equations for Scattering at Composite Partly Impenetrable Objects, in review, SAM Report 2015-19, link_samreport
  • X. Claeys and R. Hiptmair and E. Spindler A second-kind Galerkin boundary element method for scattering at composite objects, BIT Numerical Mathematics, 65/1 (2015), pp. 33-57, SAM Report 2013-13, doi

15. Dr. Cecilia Pagliantini

Cecilia Pagliantini graduated with a Master Degree in Mathematics in Engineering from Politecnico di Torino, Italy, and after a stint at the Lost Alamos National Lab in the US, in 2012 joined the Seminar for Applied Mathematikcs (SAM) of ETH Zurich as a PhD student working on an SNF funded project about "Computational Magnetohydrodynamics with Discrete Differential Forms" under the supervision of Prof. R. Hiptmair and Prof. S. Mishra. In 2015 she spent three month at the Chinese University of Hong Kong as a visiting researcher. In September 2016 she defended her PhD thesis on "Computational Magnetohydrodynamics with Discrete Differential Forms".

Then she moved to EPFL to do a postdoc. In 2020 she started a position as tenure-track assistant professor at TU Eindhoven, NL.

Joint publications:

16. Dr. Raffael Casagrande

Raffael Casagrande graduated from ETH Zürich with an MSc degree in CSE in 2013. He then joined the CTI funded project on "Highly Resolved Simulations of Power Devices", in which the ABB Corporate Research Center was also involved as industrial partner. In this project Raffael developed the C++ finite element library HyDi, which is already used as in-house simulation code at ABB. It can handle hybrid non-matching grids and discontinuous finite elements. Their use in the context of electromagnetic simulations was the main topic of Raffael's PhD thesis about Discontinuous finite element methods for eddy current simulation that he defended on Dec 21, 2016.

Joint publications:

  • R. Casagrande and C. Winkelmann and R. Hiptmair and J. Ostrowski, A Trefftz Method for the Time-Harmonic Eddy Current Equation Proc. SCEE 2016.
  • R. Casagrande and R. Hiptmair and J. Ostrowski An a priori error estimate for interior penalty discretizations of the Curl-Curl operator on non-conforming meshes, Journal of Mathematics in Industry, 6/1 (2016), pp. 1-25.
  • R. Casagrande and C. Winkelmann and R. Hiptmair and J. Ostrowski DG Treatment of Non-Conforming Interfaces in 3D Curl-Curl Problems, Proc. SCEE 2014, Springer International Publishing (2016), pp. 53-61.

17. Dr. Pegah Souzangar

Pegah Souzangar graduated with an MSc in Electrical Engineering from the University of Tehran, Iran, in 2009. After a short stint in industry she started a PhD at ETH Zurich in the project "Computational Nano-optics: shape calculus and inverse problems" under the supervision of Prof. Ch. Hafner and Prof. R. Hiptmair.
In 2012 she completed and successfully defended her thesis on "Efficient numerical modeling of SNOM problems in nano-optics for near-field simuations". She now works in the software industry.

Joint publications:

18. Dr. Simon Pintarelli

Simon Pintarelli graduated with an MSc in Computational Science and Engineering (CSE) from ETH Zurich in 2013, with an MSc thesis on Local Multi-trace Boundary Element Formulation for Diffusion Problems. He started a PhD project under the supervision of Prof. R. Hiptmair and in March 2018 submitted his thesis on Deterministic Numerical Methods for the Boltzmann Equation.

Now he is employed with the Swiss High-Performance Computing Center CSCS and takes care of codes for large-scale scientific simulations.

Joint publications:

19. Carolina Urzua-Torres

Carolina Urzua-Torres joined the Seminar for Applied Mathematics of ETH Zürich in 2014 after graduating from Pontificia Universitad Catolica de Chile (PUC) with an MSc in Engineering Sciences. Under the supervision of Prof. Ralf Hiptmair she worked on an ETH funded project on "Scattering at Complex Screens" and she defended her thesis on Operator preconditioning for Galerkin boundary element methods on screens in the end of May 2018.

After a short stint as a postdoctoral researcher at TU Graz she won a postdoctoral fellowship of Oxford University starting in the beginning of 2019. In 2020 she was hired by TU Delft, NL, as a tenure-track assistant professor.

Joint publications:

  • Hiptmair, R.; Jerez-Hanckes, C.; Urzua-Torres, C. Closed-form inverses of the weakly singular and hypersingular operators on disks. Integral Equations Operator Theory 90 (2018), no. 1,
  • Hiptmair, Ralf; Jerez-Hanckes, Carlos; Urzua-Torres, Carolina Mesh-independent operator preconditioning for boundary elements on open curves. SIAM J. Numer. Anal. 52 (2014), no. 5, 2295-2314.

20. Dr. Taha Koltukluoglu

Taha Koltukluoglu started his PhD in 2014 in the Medical Imaging group of Prof. Sebastian Kozerke and in 2017 switched to Prof. Ralf Hiptmair as thesis advisor. He defended his thesis on Data Assimilation in hemodynamics in February 2019.

Joint publications:

  • T.S. Koltukluoglu and G. Cvijetic and R. Hiptmair, Harmonic Balance Techniques in Cardiovascular Fluid Mechanics, in "Medical Image Computing and Computer Assisted Intervention - MICCAI 2019", pp. 486-494, Springer, Cham, 2019

21. Dr. Daniele Casati

Daniele Casati started his PhD at the Seminar of Applied Mathematics of ETH Zürich in 2016 working on an SNF-funded project on Coupling of Finite Elements and Multiple Multipoles for Computational Electromagnetics. He defended his thesis in December 2019 and then worked the bank Credit Suisse in Zürich for couple of months before he returned to ETH Zürich as a postdoctoral researcher at IIS, D-ITET, ETHZ.

Joint publications:

  • D. CASATI AND R. HIPTMAIR , Coupling finite elements and auxiliary sources, Comput. Math. Appl., 77 (2019), pp. 1513-1526.
  • Casati, Daniele; Codecasa, Lorenzo; Hiptmair, Ralf; Moro, Federico Trefftz co-chain calculus. Z. Angew. Math. Phys. 73 (2022), no. 1
  • Casati, Daniele; Hiptmair, Ralf Coupling FEM with a multiple-subdomain Trefftz method. J. Sci. Comput. 82 (2020), no. 3

22. Dr. Roman Fuchs

Roman Fuchs after graduating from the MSc CSE programme of ETH Zürich in 2012 joined the group of Professor Henrik Nordborg at the University of Applied Science in Rapperswil where he now has a permanent position as lecturer and scientific staff. Alongside his regular work he started a PhD at ETH Zürich in 2014 under the supervision of Prof.~R. Hiptmair. On December 16, 2020, he defended his thesis on "Numerical Modeling and Simulation of Electric Arcs".

23. Dr. Erick Schulz

Erick Schulz graduated with an MSc in Mathematics from McGill University, Montreal, Canada and then joined SAM, ETH Zurich, as a PhD student in October 2018. He successfully defended his thesis on Boundary integral exterior calculus (BIEC) on August 31, 2022. After graduating Erick Schulz joined Plexim AG, Zürich, as a researcher and software developer.

Joint publications:

  • E. Schulz and R. Hiptmair, Coupled domain-boundary variational formulations for Hodge-Helmholtz operators, Integral Equations Operator Theory 94 (1), 2022.
  • E. Schulz and R. Hiptmair, First-kind boundary integral equations for the Dirac operator in 3-dimensional Lipschitz domains , SIAM J. Math. Anal. 54 (2022), no. 1, 616–648.
  • Schulz, Erick and Hiptmair, Ralf. Spurious Resonances in Coupled Domain-Boundary Variational Formulations of Transmission Problems in Electromagnetism and Acoustics Computational Methods in Applied Mathematics, vol. 22, no. 4, 2022, pp. 971-985, doi.

24. Dr. Lorenzo Giacomel

Lorenzo Giacomel graduated from the ETH MSc program in Computational Science and Engineering in the end of 2018 after he had done an MSc thesis project on "A Boundary Element Method on complex screens" under my supervision. He then joined CERN where he worked on a PhD project on Electron Cloud Buildup Simulations in 3D RF Structures with Dr. Giovanni Iadarola as advisor. He defended his thesis in August 2023. Currently he works as a postdoctoral researcher at CERN.

Joint publications:

  • Xavier Cleays, Lorenzo Giacomel, and Ralf Hiptmair, Quotient-space boundary element methods for scattering at complex screens, BIT 61(4), 2021.