Numerische Mathematik

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  8. Barbara Verfürth

Prof. Dr. Barbara Verfürth

Professorin, Universität Bonn
Numerische Mathematik
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Aktuelles

Seit Juni 2020 bin ich Nachwuchsgruppenleiter am Karlsruher Institut für Technologie (KIT). Diese Seite wird nicht mehr aktualisiert, bitte besuchen Sie meine neue Homepage am KIT.

Forschungsinteressen

  • Mehrskalen (Finite Elemente) Methoden
  • (Numerische) Homogenisierung
  • (zeitharmonische) Wellenprobleme: Helmholtz- und Maxwell-Gleichungen
  • quasilineare PDEs

Kurzer Lebenslauf

10/10 - 02/15     Mathematikstudium (Bachelor und Master, Nebenfach Physik), WWU Münster
03/15 - 09/18 Wissenschaftliche Mitarbeiterin, WWU Münster; Promotion 06/18
01/17 - 04/17 Teilnahme am Trimester-Programm Multiscale problems, Hausdorff-Institut Bonn
seit 10/18 Wissenschaftliche Mitarbeiterin (PostDoc), Universität Augsburg

Preise und Auszeichnungen

  • Dissertationspreis der WWU Münster 2018
  • Dr.-Klaus-Körper-Preis der GAMM 2019

Lehre (aktuelles Semester)

Keine Vorlesungen vorhanden.


Lehre (vorherige Semester)

Winter 2019/20 Vorlesung: Spezielle Kapitel der Numerik - Numerische Analysis akustischer und elektromagnetischer Streuprobleme
    Seminar: Exponentielle (Zeit)integratoren (Bachelor)
SoSe 2019 Vorlesung: Numerik gewöhnlicher Differentialgleichungen (zusammen mit D. Peterseim)
    Seminar: Numerische Verfahren und ihre Anwendungen (Bachelor) (zusammen mit D. Peterseim)
    Seminar: Seminar zur Numerik (Master)
WiSe 2018/19 Seminar: Einführung in Differentialgleichungen in 1D (Bachelor)
    Übungen zur Vorlesung: Einführung in die Numerik (Numerik I)
SoSe 2018 (WWU Münster)     Übungen zur Numerischen Analysis

Publikationen

Submitted Preprints

[Pre1]    R. Altmann, B. Verfürth. A multiscale method for heterogeneous bulk-surface coupling. ArXiv Preprint 2005.06320, 2020.
[Pre2]    T. Chaumont-Frelet, B. Verfürth. A generalized finite element method for problems with sign-changing coefficients. ArXiv Preprint 2002.10818, 2020.
[Pre3] B. Verfürth. Numerical homogenization for non-linear monotone elliptic problems. ArXiv Preprint 1907.01883, 2019.

 

Journal articles

[A1]    D. Peterseim, B. Verfürth. Computational high frequency scattering from high contrast heterogeneous media. Math. Comp., 2020, online first.
[A2]    M. Ohlberger, B. Schweizer, M. Urban, B. Verfürth. Mathematical analysis of transmission properties of electromagnetic meta-materials. Netw. Het. Media, Vol. 15, No. 1, 2020, pp. 29–56.
[A3]    P. Hennig, R. Maier, D. Peterseim, D. Schillinger, B. Verfürth, M. Kästner. A diffuse modeling approach for embedded interfaces in linear elasticity. To appear in GAMM Mitteilungen, 2019.
[A4]    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.
[A5]    D. Gallistl, P. Henning, B. Verfürth. Numerical homogenization of H(curl)-problems. SIAM J. Numer. Anal., Vol. 56, No. 3, 2018, pp. 1570–1596.
[A6]    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.
[A7]    M. Ohlberger, B. Verfürth. Localized Orthogonal Decomposition for two-scale Helmholtz-type problems. AIMS Mathematics, Vol. 2, No. 3, 2017, pp. 458–478.
[A8]    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]    D. Peterseim, D. Varga, B. Verfürth. From Domain Decomposition to Homogenization Theory. To appear in DD25 proceedings, 2019.
[Proc2]    B. Verfürth. Computational multiscale method for nonlinear monotone elliptic equations. Oberwolfach Reports 35, 2019.
[Proc3]    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.
[Proc4]    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.

Vorträge

2020

03/20   Seminar Numerical Analysis, Royal Institute of Technology, Stockholm, Sweden. (Invited seminar talk)
01/20   Bayerische Akademie der Wissenschaften. (Invited talk)

 

2019

10/19   ENUMATH, Egmond an Zee, The Netherlands. (Invited Talk in the minisymposium "Recent advances in modelling and numerics of wave phenomena" by V. Nikolic, W. Dörfler)
10/19   Organisation eines Minisymposiums (zusammen mit D. Gallistl, M. Schlottbom), ENUMATH, Egmond an Zee, The Netherlands.
09/19   9th Singular Days, Kassel. (Contributed talk)
09/19   Annual meeting of the GAMM workgoup on Numerical Analysis, Essen. (Contributed talk)
07/19   Oberwolfach workshop "Computational multiscale methods" (by B. Engquist, D. Peterseim). (Invited talk)
06/19     MAFELAP, Brunel University London. (Invited talk in the minisymposium "High-frequency wave problems in heterogeneous media" by E. Spence, S. Nicaise, S. Sauter)
05/19     Computational and Applied Mathematics Seminar, Chalmers University of Technology Gothenburg, Sweden. (Invited seminar talk)
02/19     GAMM Jahrestagung, Wien. (Invited talk in a section)

 

2018

10/18   GAMM workshop on numerical analysis, Augsburg.
10/18     3rd German–Russian–American workshop on numerical methods and mathematical modelling in geophysical and biomedical sciences, Herrsching am Ammersee.
06/18     Workshop on Interplay of multiscale data assimilation and data science with advanced PDE discretizations, Erwin-Schrödinger-Institut Wien. (Invited talk)
06/18   European Finite Element Fair, Heidelberg. (Contributed talk)
03/18   4th Applied Math Symposium Münster.
03/18   (Co-)Organisation des 4th Applied Math Symposium Münster.
03/18   Joint annual meeting of GDMV and DMV, Paderborn.
01/18   Universität Augsburg. (Invited seminar talk)

 

2017

09/17     ENUMATH 2017, Voss, Norway. (Invited talk in the minisymposium "Numerical methods for simulating processes in porous media" by I.S. Pop, R. Schulz, P. Knabner, B. Wohlmuth)
07/17   (Co-)Organisation eines Minisymposiums, Equadiff 2017, Bratislava.
07/17   Equadiff 2017, Bratislava. (Minisymposium talk)
07/17   Karlsruhe Institut für Technologie (KIT). (Invited seminar talk)
03/17   Hausdorff-Institut Bonn. (Seminar talk)

 

2016

11/16     METAMATH workshop, Cargèse, Corse, France. (Invited talk)
05/16   European Finite Element Fair, Bonn. (Contributed talk)
03/16   Joint annual meeting of GAMM and DMV, Braunschweig. (Contributed talk)

 

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