direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Publikationen

Preprints

Thöns-Zueva, A., Schmidt, K. and Semin, A. Multiharmonic analysis for nonlinear acoustics with different scales. arXiv:1701.02097, TU Berlin, 2017. [PDF], [BibTeX]


Schmidt, K. and Thöns-Zueva, A. Impedance boundary conditions for acoustic time harmonic wave propagation in viscous gases. Preprint series of the Institute of Mathematics, 6-2014, Technische Universität Berlin, 2014. [PDF], [BibTeX]


Nach oben

Reviewed Articles

Certified reduced basis methods for parametrized parabolic partial differential equations with non-affine source terms
Zitatschlüssel Klindworth.Grepl.Vossen:2012
Autor D. Klindworth and M.A. Grepl and G. Vossen
Seiten 144–155
Jahr 2012
ISSN 0045-7825
DOI 10.1016/j.cma.2011.10.010
Journal Computer Methods in Applied Mechanics and Engineering
Jahrgang 209–212
Zusammenfassung We present rigorous a posteriori output error bounds for reduced basis approximations of parametrized parabolic partial differential equations with non-affine source terms. The method employs the empirical interpolation method in order to construct affine coefficient-function approximations of the non-affine parametrized functions. Our a posteriori error bounds take both error contributions explicitly into account—the error introduced by the reduced basis approximation and the error induced by the coefficient function interpolation. To this end, we employ recently developed rigorous error bounds for the empirical interpolation method and develop error estimation and primal–dual formulations to provide rigorous bounds for the error in specific outputs of interest. We present an efficient offline–online computational procedure for the calculation of the reduced basis approximation and associated error bound. The method is thus ideally suited for many-query or real-time contexts. As a specific motivational example we consider a three-dimensional mathematical model of a welding process. Our numerical results show that we obtain efficient and reliable mathematical models which may be gainfully employed in manufacturing and product development.
Link zur Publikation Link zur Originalpublikation Download Bibtex Eintrag

Nach oben

Technical Reports

Schmidt, K. and Chernov, A. Robust families of transmission conditions of high order for thin conducting sheets. INS Report, 1102, pp. 1–33, Institute for Numerical Simulation, University of Bonn, Feb 2011. [PDF], [BibTeX]


Semin, A. and Joly, P. Study of propagation of acoustic waves in junction of thin slots. Research Report, RR-7265, pp. 1–56, INRIA, Apr 2010. [PDF], [BibTeX]


Semin, A. Numerical resolution of the wave equation on a network of slots. Technical Report, RT-369, pp. 1–35, INRIA, 2009. [PDF], [BibTeX]


Joly, P. and Semin, A. Propagation of an acoustic wave in a junction of two thin slots. Research Report, RR-6708, pp. 1–61, INRIA, 2008. [PDF], [BibTeX]


Nach oben

Proceedings

Schmidt, K. and Chernov, A. Robust transmission conditions of high-order for thin conducting sheets. Proc. 10th International Conference on Mathematical and Numerical Aspects of Wave Propagation: pp. 691–694, Jul 2011. [BibTeX]


Joly, P. and Semin, A. Propagation of acoustic waves in fractal networks. Oberwolfach Report, Vol. 10: pp. 86–89, 2010. [BibTeX]


Joly, P. and Semin, A. Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots. Proc. 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation: pp. 140–141, Jun 2009. [BibTeX]


Schmidt, K. and Tordeux, S. Asymptotic expansion of highly conductive thin sheets. PAMM – Proceedings of ICIAM’07, Vol. 7: pp. 2040011-2040012, Jul 2008. [BibTeX]


Nach oben

Chapters in Books

Klindworth, D., Ehrhardt, M. and Koprucki, T. Discrete Transparent Boundary Conditions for Multi-Band Effective Mass Approximations. In Ehrhardt, M. and Koprucki, T. (editors), Multi-Band Effective Mass Approximations, Lecture Notes in Computational Science and Engineering, Vol. 94, Chapter 8, pp. 273–318, 2014. [DOI], [BibTeX]


Nach oben

PhD Theses

Klindworth, D. On the numerical computation of photonic crystal waveguide band structures. Technische Universität Berlin, 2015. [PDF], [BibTeX]


Semin, A. Propagation d'ondes dans des jonctions de fentes minces. Université de Paris-Sud 11, Nov 2010. [BibTeX]



Nach oben

Zusatzinformationen / Extras

Direktzugang

Schnellnavigation zur Seite über Nummerneingabe

Diese Seite verwendet Matomo für anonymisierte Webanalysen. Mehr Informationen und Opt-Out-Möglichkeiten unter Datenschutz.

Adresse

TU Berlin
Institut für Mathematik
Sekr. MA 6-4
Straße des 17. Juni 136
D-10623 Berlin

So finden Sie uns

Mathematikgebäude (MA)
3. Obergeschoss
Räume 363, 365 u. 379