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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]


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Reviewed Articles

An analysis of Feng's and other symmetric local absorbing boundary conditions
Citation key Schmidt.Heier:2015
Author K. Schmidt and C. Heier
Pages 257–273
Year 2015
DOI 10.1051/m2an/2014029
Journal ESAIM Math. Model. Numer. Anal.
Volume 49
Number 1
Abstract With symmetric local absorbing boundary conditions for the Helmholtz equation scattering problems can be solved on a truncated domain, where the outgoing radiation condition is approximated by a Dirichlet-to-Neumann map with higher tangential derivatives on its outer boundary. Feng’s conditions are symmetric local absorbing boundary conditions, which are based on an asymptotic expansion of the coefficients of the exact Dirichlet-to-Neumann map for large radia of the circular outer boundary. In this article we analyse the well-posedness of variational formulations with symmetric local absorbing boundary conditions in general and show how the modelling error introduced by Feng’s conditions depends on the radius of the truncated domain.
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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]


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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]


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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]


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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]



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