W

Dr.-Ing. Felix Wolf

Contact

work +49 6151 16-24391
fax +49 6151 16-24027

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

Wolf, Felix (2020):
Bembel: An Overview.
In: Workshop on Advances in Electromagnetic Research – KWT 2020. URL: http://maxwell-in-motion.org. [Talk]

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

Dölz, Jürgen ; Harbrecht, Helmut ; Kurz, Stefan ; Multerer, Michael ; Schöps, Sebastian ; Wolf, Felix (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, ARXIV: 1906.00785. [Article]

Dölz, Jürgen ; Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix. Chaillat-Loseille, Stéphanie ; Hiptmair, Ralf ; Steinbach, Olaf (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]

Dölz, Jürgen ; Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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

Wolf, Felix ; Dölz, Jürgen ; Schöps, Sebastian ; Kurz, Stefan (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]

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

Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

Kurz, Stefan ; Schöps, Sebastian ; Unger, Gerhard ; Wolf, Felix (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]

Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

Dölz, Jürgen ; Harbrecht, Helmut ; Kurz, Stefan ; Multerer, Michael ; Schöps, Sebastian ; Wolf, Felix (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]

Dölz, Jürgen ; Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

Buffa, Annalisa ; Dölz, Jürgen ; Kurz, Stefan ; Schöps, Sebastian ; Vázquez, Rafael ; Wolf, Felix (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

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

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

Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

Dölz, Jürgen ; Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

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

Dölz, Jürgen ; Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

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

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

Dölz, Jürgen ; Harbrecht, Helmut ; Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

Blumensath, Achim ; Wolf, Felix. Chatzigiannakis, Ioannis ; Kaklamanis, Christos ; Marx, Dániel ; Sannella, Donald (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 für Informatik. ISBN: 978-3-95977-076-7, DOI: 10.4230/LIPIcs.ICALP.2018.117, URN: urn:nbn:de:0030-drops-91215. [In Proceedings]

2017

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

Marsic, Nicolas ; Geuzaine, Christophe ; Wolf, Felix ; Schöps, Sebastian ; De Gersem, Herbert (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]

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

Dölz, Jürgen ; Harbrecht, Helmut ; Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]

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

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

2016

Wolf, Felix ; Schöps, Sebastian ; Kurz, Stefan (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]

Wolf, Felix ; Schöps, Sebastian ; Kurz, Stefan (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]

Kurz, Stefan ; Schöps, Sebastian ; Wolf, Felix (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]