JProf. Dr. Barbara Verfürth
 by appointment
 Kollegiengebäude Mathematik (20.30)
 3.024
 +49 721 608 47651
 +49 721 608 46679
 barbara.verfuerth@kit.edu

Englerstr. 2
76131 Karlsruhe
Welcome to my personal homepage. You will find information about my junior research group "Numerical analysis of multiscale methods" on its own homepage and as associated project within the CRC 1173 "Wave phenomena" on the corresponding project page.
Please note that my office and telephone number have changed!
News/Open positions
Within the EmmyNoether project "Numerical methods for nonlinear, random and dynamic multiscale problems" a PhD positions is vacant. If you are interested and have very good knowledge of numerical methods for partial differential equations (in particular finite element method), please contact me for details on the project and the required qualifications.
Semester  Titel  Typ 

Summer Semester 2022  Adaptive Finite Elemente Methoden  Lecture 
Winter Semester 2021/22  Numerical Analysis of Helmholtz Problems  Lecture 
Ringvorlesung Wavephenomena  Lecture  
Summer Semester 2021  Analytical and Numerical Homogenization  Lecture 
Winter Semester 2020/21  Seminar (Numerik partieller Dgl)  Seminar 
Research interests
 multiscale (finite element) methods
 (numerical) homogenization
 (timeharmonic) wave propagation: Helmholtz and Maxwell equations
 quasilinear PDEs
Projects
 EmmyNoether project "Numerical methods for nonlinear, random and dynamic multiscale problems" (2022)
 CoPI: KIT Future Fields Stage 2 TEEMLEAP (20212023)
 KIT Young Investigator Group Preparation Program Unusual wave phenomena in heterogeneous and nonlinear media (20202022)
Short CV
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, HausdorffInstitute Bonn 
10/18  05/20  Research associate (PostDoc), University of Augsburg 
06/20  01/22  Junior research group leader, Karlsruhe Institute of Technology (KIT) 
since 02/22  TenureTrackProfessor for numerics of partial differential equations, KIT 
Awards and Prizes
 Dissertation prize of the University of Münster 2018
 Dr.KlausKörperPrize of the GAMM 2019
 Second prize of IMA Leslie Fox Prize 2021
Teaching in previous semesters (Universities of Augsburg and Münster)
Winter 2019/20  Lecture: Selected topics in numerics  Numerical analysis of acoustic and electromagnetic scattering problems 
Seminar: Exponential (time) integrators (Bachelor)  
Summer 2019  Lecture: Numerics of ordinary differential equations (together with D. Peterseim) 
Seminar: Numerical methods and their applications (Bachelor) (together with D. Peterseim)  
Seminar: Seminar on numerics (Master)  
Winter 2018/19  Seminar: Introduction to differential equations in 1D (Bachelor) 
Tutorials for the Lecture: Introduction to numerical mathematics (Numerics I)  
Summer 18  Tutorials to Numerical Analysis 
Publications
Submitted Preprints
 B. Verfürth. Higherorder finite element methods for the nonlinear Helmholtz equation. ArXiv Preprint 2208.11027, 2022.
 B. Maier, B. Verfürth. Numerical upscaling of wave equations with timedependent multiscale coefficients. ArXiv Preprint 2107.14069, 2021. Accepted in Multiscale Model. Simul.
Journal articles
 A. Målqvist, B. Verfürth. An offlineonline strategy for multiscale problems with random defects. ESAIM Math. Model. Numer. Anal. Vol. 56, No.1, 2022, pp. 237260.
 R. Mandel, Z. Moitier, B. Verfürth. Nonlinear Helmholtz equations with signchanging diffusion coefficient. C. R. Math. Acad. Sci. Paris, Vol. 360, 2022, pp. 513–538.
 R. Maier, B. Verfürth. Multiscale scattering in nonlinear Kerrtype media. Math. Comp., Vol. 91, No. 361, 2022, pp. 1655–1685.
 T. ChaumontFrelet, B. Verfürth. A generalized finite element method for problems with signchanging coefficients. ESAIM Math. Model. Numer. Anal., Vol. 55, No.3, 2021, pp. 939967.
 B. Verfürth. Numerical homogenization for nonlinear strongly monotone problems. IMA J. Numer. Anal., Vol. 42, No.2, 2022, pp. 1313–1338.
 R. Altmann, B. Verfürth. A multiscale method for heterogeneous bulksurface coupling. Multiscale Model. Simul., Vol. 19, No. 1, 2021, pp.374–400.
 D. Peterseim, B. Verfürth. Computational high frequency scattering from high contrast heterogeneous media. Math. Comp., Vol. 89, No. 326, 2020, pp. 26492674.
 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.
 M. Ohlberger, B. Schweizer, M. Urban, B. Verfürth. Mathematical analysis of transmission properties of electromagnetic metamaterials. Netw. Het. Media, Vol. 15, No. 1, 2020, pp. 29–56.
 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.
 D. Gallistl, P. Henning, B. Verfürth. Numerical homogenization of H(curl)problems. SIAM J. Numer. Anal., Vol. 56, No. 3, 2018, pp. 1570–1596.
 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.
 M. Ohlberger, B. Verfürth. Localized Orthogonal Decomposition for twoscale Helmholtztype problems. AIMS Mathematics, Vol. 2, No. 3, 2017, pp. 458–478.
 P. Henning, M. Ohlberger, B. Verfürth. A new Heterogeneous Multiscale Method for timeharmonic Maxwell's equations. SIAM J. Numer. Anal., Vol. 454, No. 6, 2016, pp. 3493–3522.
Conference Proceedings
 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.
 B. Verfürth. Computational multiscale method for nonlinear monotone elliptic equations. Oberwolfach Reports 35, 2019.
 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.
 P. Henning, M. Ohlberger, B. Verfürth. Analysis of multiscale methods for timeharmonic Maxwell's equations. In Proc. Appl. Math. Mech. 16, pp. 559–560, 2016.
Theses
 B. Verfürth. Numerical multiscale methods for Maxwell's equations in heterogeneous media. Dissertation, WWU Münster, 2018.
 B. Verfürth. Numerical analysis of multiscale methods for Maxwell equations. Masterarbeit, WWU Münster, 2015.
 B. Verfürth. Homogenisierung für nichtlineare Hindernisprobleme. Bachelorarbeit, WWU Münster, 2013.
Talks
2022
07/22  Workshop Numerical analysis of nonlinear and multiscale problems, Jena, Germany. (Inivited talk) 
06/22  Workshop Solvers for frequencydomain wave problems and applications, Glasgow, UK. (Invited talk) 
05/22  Zurich Colloquium on Applied and Computational Mathematics, Zurich, Switzerland. (Invited seminar talk) 
04/22  Workshop Adaptivity, highdimensionality and randomness, ESI Wien. (Invited talk) 
02/22  Organization of a minisymposium (together with D. Gallistl, P. Henning), Conference on Analysis and Numerics of Waves, online 
02/22  Conference on Analysis and Numerics of Waves, online (Invited talk in a minisymposium) 
2021
09/21  Workshop Scattering by random heterogeneous media, Augsburg, Germany. (Invited Talk) 
07/21  Workshop New trends in numerical multiscale methods and beyond, MittagLefflerInstitute, Sweden. (Invited Talk) 
06/21  IMA Leslie Fox prize event 
03/21  MATHLEC2021, online. (Invited talk) 
2020
09/20  DMV Annual meeting & 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  Organization of a minisymposium (together with 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)Organization of the 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)Organization of a minisymposium, Equadiff 2017, Bratislava. 
07/17  Equadiff 2017, Bratislava. (Minisymposium talk) 
07/17  Karlsruhe Institut für Technologie (KIT). (Invited seminar talk) 
03/17  HausdorffInstitut 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) 