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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

2017

Schmidt, K. and Hiptmair, R. Asymptotic expansion techniques for singularly perturbed boundary integral equations. Numer. Math., 137(2): 397–415, 2017. [DOI], [BibTeX]


Semin, A., Delourme, B. and Schmidt, K. On the homogenization of the Helmholtz problem with thin perforated walls of finite length. ESAIM Math. Model. Numer. Anal., 2017. [BibTeX]


Drescher, L., Heumann, H. and Schmidt, K. A High Order Galerkin Method for Integrals over Contour Lines with an Application to Plasma Physics. SIAM Numer. Math., 2017. [PDF], [BibTeX]


2016

Semin, A. and Schmidt, K. Absorbing boundary conditions for the viscous acoustic wave equation. Math. Meth. Appl. Sci., 39(17): 5043–5065, 11 2016. [DOI], [BibTeX]


Péron, V., Schmidt, K. and Duruflé, M. Equivalent Transmission Conditions for the time-harmonic Maxwell equations in 3D for a Medium with a Highly Conductive Thin Sheet. SIAM J. Appl. Math., 76(3): 1031–1052, May 2016. [DOI], [PDF], [BibTeX]


Delourme, B., Schmidt, K. and Semin, A. On the homogenization of thin perforated walls of finite length. Asymptotic Analysis, 97(3-4): 211-264, 2016. [DOI], [PDF], [BibTeX]


2015

Fliss, S., Klindworth, D. and Schmidt, K. Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides. BIT, 55(1): 81–115, 2015. [DOI], [PDF], [BibTeX]


Garnier, J., Papanicolaou, G., Semin, A. and Tsogka, C. Signal to Noise Ratio Analysis in Virtual Source Array Imaging. SIAM Journal on Imaging Sciences, 8(1): 248–279, 2015. [DOI], [PDF], [BibTeX]


Schmidt, K., Diaz, J. and Heier, C. Non-conforming Galerkin finite element methods for local absorbing boundary conditions of higher order. Comput. Math. Appl., 70(9): 2252–2269, 2015. [DOI], [PDF], [BibTeX]


Schmidt, K. and Heier, C. An analysis of Feng's and other symmetric local absorbing boundary conditions. ESAIM Math. Model. Numer. Anal., 49(1): 257–273, 2015. [DOI], [PDF], [BibTeX]


Schmidt, K. and Hiptmair, R. Asymptotic boundary element methods for thin conducting sheets. Discrete Contin. Dyn. Syst. Ser. S, 8(3): 619–647, 2015. [DOI], [BibTeX]


2014

Klindworth, D. and Schmidt, K. Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides. IEEE Trans. Magn., 50: 217–220, Feb 2014. [DOI], [PDF], [BibTeX]


Schmidt, K. and Chernov, A. Robust transmission conditions of high order for thin conducting sheets in two dimensions. IEEE Trans. Magn., 50(2): 41–44, Feb 2014. [DOI], [PDF], [BibTeX]


Schmidt, K. and Hiptmair, R. Asymptotic boundary element methods for thin conducting sheets in two dimensions. IEEE Trans. Magn., 50: 469–472, Feb 2014. [DOI], [PDF], [BibTeX]


Klindworth, D. and Schmidt, K. An efficient calculation of photonic crystal band structures using Taylor expansions. Commun. Comput. Phys., 16(5): 1355–1388, 2014. [PDF], [BibTeX]


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Technical Reports

Numerical resolution of the wave equation on a network of slots
Citation key Sem-2009-3
Author A. Semin
Pages 1–35
Year 2009
Number RT-369
Institution INRIA
Bibtex Type of Publication Technical Report
Link to publication Download Bibtex entry

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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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Straße des 17. Juni 136
D-10623 Berlin

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Mathematikgebäude (MA)
3. Obergeschoss
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