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Dr. Barbara Verfürth


Wiss. Mitarbeiterin

E-mail: barbara.verfuerth@math.uni-augsburg.de
Tel.: +49 821 598 - 2311
Room: 3005 (building L)
Address: Universitätsstr. 14
D-86159 Augsburg



Research interests

  • Multiscale (finite element) methods
  • (Numerical) homogenization
  • wave propagation, in particular time-harmonic Maxwell equations


Short curriculum vitae

10/10 - 02/15     Bachelor and Master studies in mathematics with minor in physics, WWU Münster
03/15 - 09/18 Research associate, WWU Münster; PhD obtained 06/18
01/17 - 04/17 Participation in trimester programme multiscale problems, Hausdorff-Institute Bonn
since 10/18 Research associate (PostDoc), University of Augsburg


Awards/Prizes

  • Dissertation prize of the University of Münster 2018
  • Dr.-Klaus-Körper-Prize of the GAMM 2019


Teaching

summer term 2018 (WWU Münster) Tutorial Numerical Analysis
winter term 2018/19 Seminar: Introduction to differential equations in 1D (Bachelor)
    Tutorial for the lecture: Introduction to numerical mathematics (numerics I)
summer term 2019 Lecture: Numerics of ordinary differential equations (joint with D. Peterseim)
    Seminar: Numerical methods and their applications (Bachelor)


Publications

Submitted Preprints

[Pre1]    D. Peterseim, B. Verfürth. Computational high frequency scattering from high contrast heterogeneous media. ArXiv Preprint 1902.09935, 2019.
[Pre2]    D. Peterseim, D. Varga, B. Verfürth. From Domain Decomposition to Homogenization Theory. ArXiv Preprint 1811.06319, 2018.
[Pre3]    M. Ohlberger, B. Schweizer, M. Urban, B. Verfürth. Mathematical analysis of transmission properties of electromagnetic meta-materials. ArXiv Preprint 1809.08824, 2018.

Journal articles

[A1]    B. Verfürth. Heterogeneous Multiscale Method for the Maxwell equations with high contrast. ESAIM Math. Model. Numer. Anal., Vol. 53, No. 1, 2019, pp. 35–61.
[A2]    D. Gallistl, P. Henning, B. Verfürth. Numerical homogenization of H(curl)-problems. SIAM J. Numer. Anal., Vol. 56, No. 3, 2018, pp. 1570–1596.
[A3] M. Ohlberger, B. Verfürth. A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast. Multiscale Model. Simul., Vol. 16, No. 1, 2018, pp. 385–411.
[A4] M. Ohlberger, B. Verfürth. Localized Orthogonal Decomposition for two-scale Helmholtz-type problems. AIMS Mathematics, Vol. 2, No. 3, 2017, pp. 458–478.
[A5] P. Henning, M. Ohlberger, B. Verfürth. A new Heterogeneous Multiscale Method for time-harmonic Maxwell's equations. SIAM J. Numer. Anal., Vol. 454, No. 6, 2016, pp. 3493–3522.

Conference proceedings

[Proc1]    B. Verfürth. Numerical homogenization for indefinite H(curl)-problems. In Proceedings of Equadiff 2017 conference, edited by K. Mikula, D. Sevcovic, J. Urban, pp. 137–146, 2017.
[Proc2] P. Henning, M. Ohlberger, B. Verfürth. Analysis of multiscale methods for time-harmonic Maxwell's equations. In Proc. Appl. Math. Mech. 16, pp. 559–560, 2016.

Theses

[Th1]    B. Verfürth. Numerical multiscale methods for Maxwell's equations in heterogeneous media. Dissertation, WWU Münster, 2018.
[Th2] B. Verfürth. Numerical analysis of multiscale methods for Maxwell equations. Masterarbeit, WWU Münster, 2015.
[Th3] B. Verfürth. Homogenisierung für nichtlineare Hindernisprobleme. Bachelorarbeit, WWU Münster, 2013.


Talks

2019

02/19    Multiscale methods for waves in periodic structures with high contrast. GAMM Annual Meeting, Vienna. (invited talk in a section)

2018

10/18     Multiscale methods for Maxwell's equations in heterogeneous media with high contrast. GAMM workshop on numerical analysis, Augsburg.
10/18     Numerical homogenization for Maxwell's equations in heterogeneous media. 3rd German–Russian–American workshop on numerical methods and mathematical modelling in geophysical and biomedical sciences, Herrsching am Ammersee.
06/18     Numerical multiscale methods for Maxwell's equations in complex media. Interplay of multiscale data assimilation and data science with advanced PDE discretizations, Erwin-Schrödinger-Institut Wien. (invited talk)
06/18 Maxwell's equations in periodic microstructures with high contrast. European Finite Element Fair, Heidelberg. (contributed talk)
03/18 Numerical multiscale methods for Maxwell's equations in periodic media. 4th Applied Math Symposium Münster.
03/18 (Co-)organization of the 4th Applied Math Symposium Münster.
03/18 Numerical multiscale methods for Maxwell's equations. Joint annual meeting of GDMV and DMV, Paderborn.
01/18 Multiscale methods for waves in periodic structures with high contrast. Seminar talk, Universität Augsburg.

2017

09/17     Multiscale methods for waves in periodic structures. ENUMATH 2017, Voss (Norway). (Minisymposium talk)
07/17 (Co-)Organization of a minsymposium, Equadiff 2017, Bratislava.
07/17 Numerical homogenization for electromagnetic wave propagation. Equadiff 2017, Bratislava. (Minisymposium talk)
07/17 Multiscale methods for time-harmonic electromagnetic waves. Seminar talk, Karlsruhe Institut für Technologie (KIT).
03/17 Heterogeneous Multiscale Methods for time-harmonic waves in periodic media. Seminar talk, Hausdorff-Institut Bonn.

2016

11/16     Analysis of a multiscale method for highly heterogeneous Helmholtz problems. METAMATH workshop, Cargèse (Corse, France). (Invited talk)
05/16 Multiscale methods for highly heterogeneous Helmholtz problems. European Finite Element Fair, Bonn. (Contributed talk)
03/16 Analysis of multiscale methods for time-harmonic Maxwell's equations. Joint annual meeting of GAMM and DMV, Braunschweig. (Contributed talk)