Research Statement

This page provides a summary of my scientific activities. Please refer to the list of publications and list of talks if you are interested in these.

Main Research Interests

My main area of research can be summarized as
Adaptive Methods for Multi-Scale and Multi-Physics Applications.
This includes

  • Simulations of Electrodynamics on Dynamical Meshes
  • Algorithms for Dynamic Autonomous Mesh Control
  • Space-Time Finite Element Methods
  • Solvers and preconditioners for large linear systems
  • Nanooptics Simulations
  • Particle-In-Cell Simulations

In particular, I deal with Discontinuous Galerkin (DG) methods but I have also worked on Finite Differences (FD) and Finite Volumes (FV) schemes involving dynamic mesh refinement and the coupling to freely moving charges in each case.

Working Group

These are the alumni of my former working group Computational Electromagnetics Group at the Graduate School of Computational Engineering at Technische Universitaet Darmstadt, Germany.

Alumni

Research Assistants (HiWis)

  • Dominic Charrier (Oct 2012 – May 2013)
  • Nikolai Schmitt (Aug 2011 – May 2012)
  • Dimitar Ho (Dec 2010 – Sep 2011)
  • Gerhard Hoffmann (Jul 2010 – Jun 2011)

The group logo was obtained with the simulation code SMOVE. It shows a refined mesh, which was obtained automatically by setting a value of one inside the letters and zero outside and running the mesh adaptation (pure h-refinement).

 Research projects

Awards

2014 Student Paper Competition Award for F. Kretzschmar, S. Schnepp, I. Tsukerman, T. Weiland at the 12th International Workshop on Finite Elements for Microwave Engineering (FEM2014), Chengdu, China
2012 Feodor Lynen Research Fellowship of the Alexander von Humboldt-Foundation
2011 Student Poster Prize at the International Particle Accelerator Conference (IPAC’11) for A. Angelovski, A. Kuhl, A. Penirschke, S. Schnepp, R. Jakoby, T. Weiland, H. Schlarb and M. Bousonville, San Sebastian, Spain
2010 Young Scientist Award of the International URSI Commission B, International Electromagnetic Theory Symposium (EMTS) 2010, Berlin, Germany
2009 Nominated for the Prize of the Adolf Messer-Foundation
2008 Awarded at the Student Paper Competition of the Annual Review of Progress in Applied Computational Electromagnetics (ACES 2008), Niagara Falls, Canada

Memberships

  • URSI (International Union of Radio Science)
  • SIAM (Society for Industrial and Applied Mathematics)

Review and Conference Activities

Supervised Works

BACHELOR AND MASTER THESES

2014/15 Master thesis: “A discontinuous Galerkin method for studying variable viscosity Stokes:
Application to multi-layer folding and viscous buckling in geodynamics”
2012 Bachelor thesis: “Solving Maxwell’s Equations on Non-Orthogonal Hexahedral Meshes with the Discontinuous Galerkin Method”
2012 Bachelor thesis: “Solving Maxwell’s equations with local time steps in the context of adaptive Discontinuous Galerkin Methods”
2010 Master thesis: “Implementation of the Discontinuous Galerkin Method in OpenCL or CUDA for GPU Computing”
2010 Master thesis: “hp-Discontinuous Galerkin Method for the Time-Dependent Maxwell Equations”
2007/2008 Master thesis: “Adaptivity Strategies for the hp-Adaptive Discontinuous Galerkin Method”

PROJECT WORKS and seminars

2014 Project seminar: “Impedance Transmission Conditions with the DG Method”
2014 Project seminar: “Error Estimation Techniques for Finite Element Methods”
2013/2014 Project seminar: “Optimization of Lens Coatings”
2013 Group project: “Untersuchung und Vergleich von Zeitintegrationsverfahren zur Verfolgung von Elektronentrajektorien” (Investigation and comparison of time integration methods for tracing electrons)
2011/2012 Project seminar: “Investigation of the Microwave Transmission Method for Electron Cloud Density Measurements”
2011/2012 Project seminar: “High-Order Symplectic Integration Methods for Finite Element Solutions to Time Dependent Maxwell Equations”
2011/2012 Project seminar: “Templating Finite Element Integrals over Non-Orthogonal Hexahedral Elements with Straight Edges”
2009 Project seminar: “Implementation of a Discontinuity Detector and High Order Limiter for the Discontinuous Galerkin Method”
2009 Project: “Accelerating MATLAB Calculations via GPU Computing”


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