Jörn T. Zimmerling

James Van Loo Post-Doctoral Fellow and Assistant Professor

Department of Mathematics
University of Michigan
1846 East Hall
530 Church Street
Ann Arbor, MI  48109-1043

E-mail: jzimmerl(at)umich.edu

About me

I am a James van Loo Postdoctoral Fellow and Assistant Professor in the Department of Mathematics at the University of Michigan in Ann Arbor, where I work with Liliana Borcea. I received my PhD in 2018 from Delft University of Technology under my thesis advisor Rob F. Remis. During my PhD I spent 5 summers at Schlumberger-Doll Research working on industrial forward and inverse problems.

My research interests lie in the field of numerical methods for partial differential equations and inverse problems.

Research interest

Inverse Problems

  • Inverse problems in acoustics and electrodynamics
  • Estimation of coefficients of PDEs from remote measurements.


Forward Problems

  • Efficient numerical solvers for PDEs with variable coefficients and in complex geometries
  • Reduced order modeling
  • Krylov subspace projection methods

Resonances

  • Fast computation of resonances in unbounded domains
  • Resonances of dispersive media

Publications

Liliana Borcea and Vladimir Druskin and Alexander V. Mamonov and Mikhail Zaslavsky and Jörn Zimmerling, Reduced Order Model Approach to Inverse Scattering, 2019, arXiv:1910.13014

Jörn Zimmerling and Rob Remis, Modal Analysis of photonic and plasmonic resonators, 2019, arXiv:1910.12920,

P. Lalanne, W. Yan, A. Gras, C. Sauvan, J.-P. Hugonin, M. Besbes, G. Demésy, M. D. Truong, B. Gralak, F. Zolla, A. Nicolet, F. Binkowski, L. Zschiedrich, S. Burger, J. Zimmerling, R. Remis, P. Urbach, H. T. Liu, and T. Weiss, Quasinormal mode solvers for resonators with dispersive materials, J. Opt. Soc. Am. A36, 686-704, 2019, (link)

Vladimir Druskin, Rob F. Remis, Mikhail Zaslavsky, and Jörn Zimmerling, Compressing Large-Scale Wave Propagation Models via Phase-Preconditioned Rational Krylov Subspaces, Multiscale Modeling & Simulation,16:4, 1486-1518, 2018 (link)

Jörn Zimmerling, Vladimir Druskin, Mikhail Zaslavsky, and Rob F. Remis, Model-order reduction of electromagnetic fields in open domains, GEOPHYSICS , 83:2, WB61-WB70, 2018 (link)

Jörn Zimmerling, Lei Wei, Paul Urbach, Rob Remis, A Lanczos model-order reduction technique to efficiently simulate electromagnetic wave propagation in dispersive media, Journal of Computational Physics, Volume 315, Pages 348-362, 2016 (link)

Jörn Zimmerling, Lei Wei, Paul Urbach, Rob Remis, Efficient computation of the spontaneous decay rate of arbitrarily shaped 3D nanosized resonators: A Krylov model-order reduction approach, Applied Physics A, Volume 122, Number 3, page 158, 2016 (link)


A list of conference talks can be found here.

Teaching

Delft University of Technology

EE4595 - Wavefield imaging


University of Michigan

Math 316 - Differential Equations

Math 404 - Intermediate Differential Equations

Math 450 - Advanced Mathematics for Engineers I

Profiles/Links

Here are links to my professional profiles