Prof. Dr. Barbara Verfürth
Professor, University of Bonn
Computational Mathematics
| Phone: | --- |
| Email: | verfuerth@ins.uni-bonnins.uni-bonn.de () |
| Open hours: | by appointment |
News
Since June 2020, I am a Junior research group leader at Karlsruhe Institute of Technology (KIT). This website will not be updated any longer, please visit my new website at KIT.
Research interests
- multiscale (finite element) methods
- (numerical) homogenization
- (time-harmonic) wave propagation: Helmholtz and Maxwell equations
- quasilinear PDEs
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, Hausdorff-Institute Bonn | |
| seit 10/18 |
Research associate (PostDoc), University of Augsburg |
Awards and Prizes
- Dissertation prize of the University of Münster 2018
- Dr.-Klaus-Körper-Prize of the GAMM 2019
Teaching (Current Semester)
No courses available.
Teaching (Previous Semesters)
| 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 2018 (WWU Münster) | Tutorials to Numerical Analysis |
Publications
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. Master Thesis, WWU Münster, 2015. |
| [Th3] | B. Verfürth. Homogenisierung für nichtlineare Hindernisprobleme. Bachelor Thesis, WWU Münster, 2013. |
Talks
2020
| 03/20 | Seminar Numerical Analysis, Royal Institute of Technology, Stockholm, Sweden. (Invited seminar talk) | |
| 01/20 | Bavarian Academy of Sciences. (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 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 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 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 the minisymposium "Numerical methods for simulating processes in porous media" by I.S. Pop, R. Schulz, P. Knabner, B. Wohlmuth) | |
| 07/17 | (Co-)Organisation 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 | 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) |