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
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.
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.
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.
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.
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 is now doing and SNF sponsored PostDoc at INRIA with P. Joly.
Joint publications:
K. SSCHMIDT, O. STERZ, AND R. HIPTMAIR, Estimating the eddy-current modelling error, IEEE Trans. Magnetics, 44 (2008), pp. 686-689.
Dr. 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. Now he works as a grammer school teacher for mathematics and physics at the Gymnasium Liechtenstein and tries to imbue young people with his enthusiasm for science.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.
Dr. Gisela 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.
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.
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
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
Evelyne Huber
Florian Krämer
Eivind Fonn
Alberto Paganini