Webrelaunch 2020

Dr. Barbara Verfürth

  • Englerstr. 2
    76131 Karlsruhe

Herzlich Willkommen auf meiner persönlichen Homepage. Informationen zu meiner Nachwuchsgruppe "Numerical analysis of multiscale methods" finden Sie auf der Homepage der Gruppe und als assoziertes Projekt des SFB 1173 "Wellenphänomene" auf der entsprechenden Projektseite.

Aktuelles Lehrangebot
Semester Titel Typ
Wintersemester 2021/22 Vorlesung
Sommersemester 2021 Vorlesung
Wintersemester 2020/21 Seminar

Forschungsinteressen

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

Projekte

  • Co-PI: KIT Future Fields Stage 2 TEEMLEAP (2021-2023)
  • KIT Young Investigator Group Preparation Program Unusual wave phenomena in heterogeneous and nonlinear media (2020-2022)

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
10/18 - 05/20 Wissenschaftliche Mitarbeiterin (PostDoc), Universität Augsburg
seit 06/20 Nachwuchsgruppenleiterin, Karlsruher Institut für Technologie (KIT)

Preise und Auszeichnungen

  • Dissertationspreis der WWU Münster 2018
  • Dr.-Klaus-Körper-Preis der GAMM 2019
  • Second prize of IMA Leslie Fox Prize 2021

Lehre vergangener Semester (Uni Augsburg und WWU Münster)

WiSe 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 2018/19Seminar: Einführung in Differentialgleichungen in 1D (Bachelor)
Übungen zur Vorlesung: Einführung in die Numerik (Numerik I)
SoSe 18 Übungen zur Numerischen Analysis

Publikationen

Submitted Preprints

  1. R. Mandel, Z. Moitier, B. Verfürth. Nonlinear Helmholtz equations with sign-changing diffusion coefficient. ArXiv Preprint , 2107.14516, 2021.
  2. B. Maier, B. Verfürth. Numerical upscaling of wave equations with time-dependent multiscale coefficients. ArXiv Preprint 2107.14069, 2021.
  3. A. Målqvist, B. Verfürth. An offline-online strategy for multiscale problems with random defects. ArXiv Preprint 2102.01635, 2021.
  4. R. Maier, B. Verfürth. Multiscale scattering in nonlinear Kerr-type media. ArXiv Preprint 2011.09168, 2020.

Journal articles

  1. T. Chaumont-Frelet, B. Verfürth. A generalized finite element method for problems with sign-changing coefficients. ESAIM Math. Model. Numer. Anal., Vol. 55, No.3, 2021, pp. 939-967.
  2. B. Verfürth. Numerical homogenization for nonlinear strongly monotone problems. IMA J. Numer. Anal., 2021, pp. 1–26 (online first).
  3. R. Altmann, B. Verfürth. A multiscale method for heterogeneous bulk-surface coupling. Multiscale Model. Simul., Vol. 19, No. 1, 2021, pp. 374–400.
  4. D. Peterseim, B. Verfürth. Computational high frequency scattering from high contrast heterogeneous media. Math. Comp., Vol. 89, No. 326, 2020, pp. 2649-2674.
  5. P. Hennig, R. Maier, D. Peterseim, D. Schillinger, B. Verfürth, M. Kästner. A diffuse modeling approach for embedded interfaces in linear elasticity. GAMM Mitteilungen, Vol. 43, No. 1, e202000001, 2020.
  6. 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.
  7. 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.
  8. D. Gallistl, P. Henning, B. Verfürth. Numerical homogenization of H(curl)-problems. SIAM J. Numer. Anal., Vol. 56, No. 3, 2018, pp. 1570–1596.
  9. 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.
  10. M. Ohlberger, B. Verfürth. Localized Orthogonal Decomposition for two-scale Helmholtz-type problems. AIMS Mathematics, Vol. 2, No. 3, 2017, pp. 458–478.
  11. 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

  1. D. Peterseim, D. Varga, B. Verfürth. From Domain Decomposition to Homogenization Theory. In Domain Decomposition Methods in Science and Engineering XXV, Vol. 138 of Lect. Notes Comp. Sci. Eng., Springer, pp. 29–40, 2020.
  2. B. Verfürth. Computational multiscale method for nonlinear monotone elliptic equations. Oberwolfach Reports 35, 2019.
  3. 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.
  4. 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

  1. B. Verfürth. Numerical multiscale methods for Maxwell's equations in heterogeneous media. Dissertation, WWU Münster, 2018.
  2. B. Verfürth. Numerical analysis of multiscale methods for Maxwell equations. Masterarbeit, WWU Münster, 2015.
  3. B. Verfürth. Homogenisierung für nichtlineare Hindernisprobleme. Bachelorarbeit, WWU Münster, 2013.


Vorträge

2021

07/21 Workshop New trends in numerical multiscale methods and beyond, Mittag-Leffler-Institute, Sweden. (Invited Talk)
06/21 IMA Leslie Fox prize event.
03/21 MATHLEC-2021, online. (Invited talk)

2020

09/20 DMV Jahrestagung & Chemnitz FE Symposium, online. (Contributed talk)
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 a minisymposium)
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 a minisymposium)
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.
06/18 Workshop on Interplay of multiscale data assimilation and data science with advanced PDE discretizations, ESI 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 a minisymposium)
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)