People

Dr.-Ing. Felix Wolf

Contact

work +49 6151 16-24391

Work S2|17 38
Schloßgartenstr. 8
64289 Darmstadt

Exterior Problems, like the scattering of a radar wave on a plane, pose challenges to modern simulation tools. This is due to the fact that generally speaking, the computational effort increases extraordinary w.r.t. both the desired accuracy, as well as the size of the domain in which the solution should be computed.

A solution to this behaviour is posed by the Boundary Element Methods, which is capable of reducing the exterior solution to the solution of a linked problem which needs to be computed only on the surface of the scatterer. By this, the size of the domain on which a solution needs to be computed decreases and the computational effort can be reduced without workarounds that would impact the physicality of the computed solution.

This project deals with boundary element methods within the framework of isogeometric analysis. The idea of isogeometric methods is to use exact descriptions of the geometries involved in numeric simulations, through utilisation of data extracted from design software. With this one not only renders simulation results more precise but optimises industrial workflows as well, since the isogeometric concept requires no preprocessing steps in between design and simulation.

The focus therein lies with the computation of scattered electromagnetic waves and the computation of resonant frequencies, i.e., the solution to electromagnetic eigenvalue problems.

The code that was written as part of this project is freely available at http://www.bembel.eu.

  • 2019: Dissertation is recognized as outstanding Ph.D. research by Springer (“The Best of the Best”)
  • 2018: Young scientist and best paper award at URSI KHB 2018 for the contribution 'Isogeometric Discretisations of the Electric Field Integral Equation'

2020

Felix Wolf (2020):
Analysis and Implementation of Isogeometric Boundary Elements for Electromagnetism. Technische Universität Darmstadt, Darmstadt. URN: urn:nbn:de:tuda-tuprints-113179. [Dissertation]

Jürgen Dölz ; Helmut Harbrecht ; Stefan Kurz ; Michael Multerer ; Sebastian Schöps ; Felix Wolf (2020):
Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation.
In: Software X, 11, pp. 100476, DOI: 10.1016/j.softx.2020.100476. [Article]

Jürgen Dölz ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf. Stéphanie Chaillat-Loseille ; Ralf Hiptmair ; Olaf Steinbach (editors) (2020):
Recent Advances of Isogeometric Boundary Element Methods for Electromagnetic Scattering Problems.
In: Boundary Element Methods, volume 5, 37–40. Mathematisches Forschungsinstitut Oberwolfach. DOI: 10.14760/OWR-2020-5. [In Proceedings]

Jürgen Dölz ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2020):
A Numerical Comparison of an Isogeometric and a Parametric Higher-Order Raviart-Thomas Approach to the Electric Field Integral Equation.
In: IEEE Transactions on Antennas and Propagation, 68, (1), pp. 593–597, ISSN: 0018-926X, DOI: 10.1109/TAP.2019.2935778, ARXIV: 1807.03628. [Article]

2019

Felix Wolf ; Jürgen Dölz ; Sebastian Schöps ; Stefan Kurz (2019):
Isogeometric Discretizations of the Electric Field Integral Equation.
In: 2019 URSI International Symposium on Electromagnetic Theory (EMTS). ISBN: 978-1-946815-06-4, DOI: 10.23919/URSI-EMTS.2019.8931467. [In Proceedings]

Andreas Pels ; Sebastian Schöps ; Felix Wolf (2019):
Octave, Füchse und Pinguine – Numerische Mathematik mit dem Rechenprogramm Octave.
In: c't, 15, pp. 146–152. [Article]

Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2019):
Solving Electromagnetic Eigenvalue Problems via an Isogeometric Boundary Element Method and Contour Integration.
In: Workshop on Advances in Electromagnetic Research – KWT 2019, Rietzlern, Austria. URL: http://maxwell-in-motion.org. [Talk]

Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2019):
Discretising Function Spaces Related to Electromagnetism.
In: Workshop on Advances in Electromagnetic Research – KWT 2019, Rietzlern, Austria. URL: http://maxwell-in-motion.org. [Talk]

Stefan Kurz ; Sebastian Schöps ; Gerhard Unger ; Felix Wolf (2019):
Solving Electromagnetic Eigenvalue Problems via an Isogeometric Boundary Element Method and Contour Integration.
In: VII International Conference on Isogeometric Analysis (IGA 2019), München. URL: http://congress.cimne.com/IGA2019/. [Talk]

Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2019):
Towards a Spectral Method of Moments using Computer Aided Design.
In: Advances in Radio Science, 17, pp. 59–63, ISSN: 1684-9973, DOI: 10.5194/ars-17-59-2019. [Article]

Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2019):
Isogeometric Boundary Elements in Electromagnetism.
In: 23nd URSI International Symposium on Electromagnetic Theory (EMTS 2019), San Diego, USA. URL: http://volta.sdsu.edu/~emts. [Talk]

Jürgen Dölz ; Helmut Harbrecht ; Stefan Kurz ; Michael Multerer ; Sebastian Schöps ; Felix Wolf (2019):
Bembel, the Boundary Element Method Based Engineering Library.
In: 17. Workshop Fast Boundary Element Methods in Industrial Applications, Hirschegg. URL: https://www.applied.math.tugraz.at/tagungen/FastBEM2019. [Talk]

Jürgen Dölz ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2019):
Isogeometric Boundary Elements in Electromagnetism: Rigorous Analysis, Fast Methods, and Examples.
In: SIAM Journal on Scientific Computing, 41, (5), pp. B983–B1010, ISSN: 1064-8275, DOI: 10.1137/18M1227251, ARXIV: 1807.03097. [Article]

Annalisa Buffa ; Jürgen Dölz ; Stefan Kurz ; Sebastian Schöps ; Rafael Vázquez ; Felix Wolf (2019):
Multipatch Approximation of the de Rham Sequence and its Traces in Isogeometric Analysis.
In: Numerische Mathematik, 144, (1), pp. 201–236, DOI: 10.1007/s00211-019-01079-x, ARXIV: 1806.01062. [Article]

2018

Felix Wolf ; Jürgen Dölz ; Stefan Kurz ; Sebastian Schöps (2018):
Isogeometric Discretisations of the Electric Field Integral Equation.
In: URSI Kleinheubacher Tagung (KHB 2018), Miltenberg. URL: https://www.kh2018.de. [Poster]

Felix Wolf ; Jürgen Dölz ; Stefan Kurz ; Sebastian Schöps (2018):
Isogeometric Discretisations of the Electric Field Integral Equation.
In: URSI Kleinheubacher Tagung (KHB 2018), Miltenberg. URL: https://www.kh2018.de. [Talk]

Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2018):
The Beginnings of Spline Theory and Computational Geometry.
In: Workshop on Advances in Electromagnetic Research – KWT 2018, Rietzlern, Austria. URL: http://maxwell-in-motion.org. [Talk]

Jürgen Dölz ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2018):
On isogeometric boundary element methods for electromagnetic problems.
In: Workshop on Advances in Electromagnetic Research – KWT 2018, Rietzlern, Austria. URL: http://maxwell-in-motion.org. [Talk]

Jürgen Dölz ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2018):
An Overview of Isogeometric Boundary Element Methods for Acoustic and Electromagnetic Scattering Problems.
In: Proceedings in Applied Mathematics and Mechanics, volume 18. DOI: 10.1002/pamm.201800100. [In Proceedings]

Jürgen Dölz ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2018):
Isogeometric Boundary Element Methods for Electromagnetic Problems: Discretisation and Numerical Examples.
In: Symposium of the International Association for Boundary Element Methods (IABEM 2018), Paris, France. URL: https://project.inria.fr/iabem2018/. [Talk]

Jürgen Dölz ; Helmut Harbrecht ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2018):
On Fast Isogeometric Boundary Element Methods.
In: IGAA 2018, Delft. URL: http://igaa2018.nl. [Talk]

Jürgen Dölz ; Helmut Harbrecht ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2018):
Isogeometric Boundary Element Methods.
In: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM 2018), München. [Talk]

Jürgen Dölz ; Helmut Harbrecht ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2018):
A Fast Isogeometric BEM for the Three Dimensional Laplace- and Helmholtz Problems.
In: Computer Methods in Applied Mechanics and Engineering, 330, pp. 83–101, ISSN: 0045-7825, DOI: 10.1016/j.cma.2017.10.020, ARXIV: 1708.09162. [Article]

Achim Blumensath ; Felix Wolf. Ioannis Chatzigiannakis ; Christos Kaklamanis ; Dániel Marx ; Donald Sannella (editors) (2018):
Bisimulation Invariant Monadic-Second Order Logic in the Finite.
In: 45th International Colloquium on Automata, Languages, and Programming (ICALP 2018), volume 107 of Leibniz International Proceedings in Informatics (LIPIcs), 117:1–117:13. Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik. ISBN: 978-3-95977-076-7, DOI: 10.4230/LIPIcs.ICALP.2018.117, URL: http://drops.dagstuhl.de/opus/volltexte/2018/9121, URN: urn:nbn:de:0030-drops-91215. [In Proceedings]

2017

Felix Wolf ; Sebastian Schöps ; Stefan Kurz (2017):
An Isogeometric Boundary Element Method for the Electromagnetic Wave Equation.
In: 5th Workshop BEM on the Saar 2017, Saarbrücken. [Talk]

Nicolas Marsic ; Christophe Geuzaine ; Felix Wolf ; Sebastian Schöps ; Herbert De Gersem (2017):
An optimised domain decomposition method for large scale eigenvalue problems taking advantage of a contour integral approach.
In: 78° North: DD24 Svalbard Norway 2017, Svalbard. [Talk]

Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2017):
IGA BEM for Maxwell Eigenvalue Problems.
In: KAUST Workshop on Computational Science and Engineering with High Performance Computers, Thuwal, Makkah Province. [Talk]

Jürgen Dölz ; Helmut Harbrecht ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2017):
A Fast Higher Order Isogeometric Multipole Method for the Helmholtz Equation.
In: Workshop on Advances in Electromagnetic Research – KWT 2017, Rietzlern, Austria. URL: http://maxwell-in-motion.org. [Poster]

Jürgen Dölz ; Helmut Harbrecht ; Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2017):
Isogeometric Higher Order BEM for Electromagnetic Problems.
In: International Conference on Isogeometric Analysis IGA 2017, Pavia, Italy. [Talk]

Zeger Bontinck ; Jacopo Corno ; Herbert De Gersem ; Stefan Kurz ; Andreas Pels ; Sebastian Schöps ; Felix Wolf ; Carlo de Falco ; Jürgen Dölz ; Rafael Vázquez ; Ulrich Römer (2017):
Recent Advances of Isogeometric Analysis in Computational Electromagnetics.
In: International Compumag Society Newsletter, ISSN: 1026-0854, ARXIV: 1709.06004. [Article]

2016

Felix Wolf ; Sebastian Schöps ; Stefan Kurz (2016):
IGA BEM for Maxwell eigenvalue problems.
In: 14. Workshop Fast Boundary Element Methods in Industrial Applications, Hirschegg. URL: https://www.applied.math.tugraz.at/tagungen/FastBEM2016. [Talk]

Felix Wolf ; Sebastian Schöps ; Stefan Kurz (2016):
An Isogeometric Approach to Maxwells Eigenvalue Problem via BEM.
In: Workshop on Advances in Electromagnetic Research – KWT 2016, Rietzlern, Austria. URL: http://maxwell-in-motion.org. [Talk]

Stefan Kurz ; Sebastian Schöps ; Felix Wolf (2016):
IGA BEM for Maxwell Eigenvalue Problems.
In: RICAM Workshop Analysis and Numerics of Acoustic and Electromagnetic Problems, Linz. URL: https://www.ricam.oeaw.ac.at/specsem/specsem2016/. [Talk]