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Inhalt des Dokuments

Publikationen

  • Preprints
  • Reviewed Articles
  • Technical Reports
  • Proceedings
  • Chapters in Books
  • PhD Theses

Preprints

Thöns-Zueva, A., Schmidt, K. and Semin, A. Multiharmonic analysis for nonlinear acoustics with different scales [1]. arXiv:1701.02097, TU Berlin, 2017. [PDF [2]], [BibTeX [3]]


Schmidt, K. and Thöns-Zueva, A. Impedance boundary conditions for acoustic time harmonic wave propagation in viscous gases [4]. Preprint series of the Institute of Mathematics, 6-2014, Technische Universität Berlin, 2014. [PDF [5]], [BibTeX [6]]


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Reviewed Articles

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2017

Schmidt, K. and Hiptmair, R. Asymptotic expansion techniques for singularly perturbed boundary integral equations [10]. Numer. Math., 137(2): 397–415, 2017. [DOI [11]], [BibTeX [12]]


Semin, A., Delourme, B. and Schmidt, K. On the homogenization of the Helmholtz problem with thin perforated walls of finite length [13]. ESAIM Math. Model. Numer. Anal., 2017. [BibTeX [14]]


Drescher, L., Heumann, H. and Schmidt, K. A High Order Galerkin Method for Integrals over Contour Lines with an Application to Plasma Physics [15]. SIAM Numer. Math., 2017. [PDF [16]], [BibTeX [17]]


2016

Semin, A. and Schmidt, K. Absorbing boundary conditions for the viscous acoustic wave equation [18]. Math. Meth. Appl. Sci., 39(17): 5043–5065, 11 2016. [DOI [19]], [BibTeX [20]]


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 [21]. SIAM J. Appl. Math., 76(3): 1031–1052, May 2016. [DOI [22]], [PDF [23]], [BibTeX [24]]


Delourme, B., Schmidt, K. and Semin, A. On the homogenization of thin perforated walls of finite length [25]. Asymptotic Analysis, 97(3-4): 211-264, 2016. [DOI [26]], [PDF [27]], [BibTeX [28]]


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 [29]. BIT, 55(1): 81–115, 2015. [DOI [30]], [PDF [31]], [BibTeX [32]]


Garnier, J., Papanicolaou, G., Semin, A. and Tsogka, C. Signal to Noise Ratio Analysis in Virtual Source Array Imaging [33]. SIAM Journal on Imaging Sciences, 8(1): 248–279, 2015. [DOI [34]], [PDF [35]], [BibTeX [36]]


Schmidt, K., Diaz, J. and Heier, C. Non-conforming Galerkin finite element methods for local absorbing boundary conditions of higher order [37]. Comput. Math. Appl., 70(9): 2252–2269, 2015. [DOI [38]], [PDF [39]], [BibTeX [40]]


Schmidt, K. and Heier, C. An analysis of Feng's and other symmetric local absorbing boundary conditions [41]. ESAIM Math. Model. Numer. Anal., 49(1): 257–273, 2015. [DOI [42]], [PDF [43]], [BibTeX [44]]


Schmidt, K. and Hiptmair, R. Asymptotic boundary element methods for thin conducting sheets [45]. Discrete Contin. Dyn. Syst. Ser. S, 8(3): 619–647, 2015. [DOI [46]], [BibTeX [47]]


2014

Klindworth, D. and Schmidt, K. Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides [48]. IEEE Trans. Magn., 50: 217–220, Feb 2014. [DOI [49]], [PDF [50]], [BibTeX [51]]


Schmidt, K. and Chernov, A. Robust transmission conditions of high order for thin conducting sheets in two dimensions [52]. IEEE Trans. Magn., 50(2): 41–44, Feb 2014. [DOI [53]], [PDF [54]], [BibTeX [55]]


Schmidt, K. and Hiptmair, R. Asymptotic boundary element methods for thin conducting sheets in two dimensions [56]. IEEE Trans. Magn., 50: 469–472, Feb 2014. [DOI [57]], [PDF [58]], [BibTeX [59]]


Klindworth, D. and Schmidt, K. An efficient calculation of photonic crystal band structures using Taylor expansions [60]. Commun. Comput. Phys., 16(5): 1355–1388, 2014. [PDF [61]], [BibTeX [62]]


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Technical Reports

Schmidt, K. and Chernov, A. Robust families of transmission conditions of high order for thin conducting sheets [66]. INS Report, 1102, pp. 1–33, Institute for Numerical Simulation, University of Bonn, Feb 2011. [PDF [67]], [BibTeX [68]]


Semin, A. and Joly, P. Study of propagation of acoustic waves in junction of thin slots [69]. Research Report, RR-7265, pp. 1–56, INRIA, Apr 2010. [PDF [70]], [BibTeX [71]]


Semin, A. Numerical resolution of the wave equation on a network of slots [72]. Technical Report, RT-369, pp. 1–35, INRIA, 2009. [PDF [73]], [BibTeX [74]]


Joly, P. and Semin, A. Propagation of an acoustic wave in a junction of two thin slots [75]. Research Report, RR-6708, pp. 1–61, INRIA, 2008. [PDF [76]], [BibTeX [77]]


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Proceedings

Schmidt, K. and Chernov, A. Robust transmission conditions of high-order for thin conducting sheets [78]. Proc. 10th International Conference on Mathematical and Numerical Aspects of Wave Propagation: pp. 691–694, Jul 2011. [BibTeX [79]]


Joly, P. and Semin, A. Propagation of acoustic waves in fractal networks [80]. Oberwolfach Report, Vol. 10: pp. 86–89, 2010. [BibTeX [81]]


Joly, P. and Semin, A. Construction and analysis of improved Kirchoff conditions for acoustic wave propagation in a junction of thin slots [82]. Proc. 9th International Conference on Mathematical and Numerical Aspects of Wave Propagation: pp. 140–141, Jun 2009. [BibTeX [83]]


Schmidt, K. and Tordeux, S. Asymptotic expansion of highly conductive thin sheets [84]. PAMM – Proceedings of ICIAM’07, Vol. 7: pp. 2040011-2040012, Jul 2008. [BibTeX [85]]


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Chapters in Books

Klindworth, D., Ehrhardt, M. and Koprucki, T. Discrete Transparent Boundary Conditions for Multi-Band Effective Mass Approximations [86]. 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 [87]], [BibTeX [88]]


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PhD Theses

Klindworth, D. On the numerical computation of photonic crystal waveguide band structures [89]. Technische Universität Berlin, 2015. [PDF [90]], [BibTeX [91]]


Semin, A. Propagation d'ondes dans des jonctions de fentes minces [92]. Université de Paris-Sud 11, Nov 2010. [BibTeX [93]]


Schmidt, K. High-order numerical modeling of highly conductive thin sheets [94]. ETH Zurich, Jul 2008. [PDF [95]], [BibTeX [96]]


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

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