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Dr. Kersten Schmidt: Publications

  • Preprints
  • Reviewed Articles
  • Technical Reports
  • Proceedings
  • Thesis
  • Talks

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

next >> [8]

2017

Semin, A., Delourme, B. and Schmidt, K. On the homogenization of the Helmholtz problem with thin perforated walls of finite length [9]. ESAIM Math. Model. Numer. Anal., 2017. [BibTeX [10]]


2016

Semin, A. and Schmidt, K. Absorbing boundary conditions for the viscous acoustic wave equation [11]. Math. Meth. Appl. Sci., 39(17): 5043–5065, 11 2016. [DOI [12]], [BibTeX [13]]


Delourme, B., Schmidt, K. and Semin, A. On the homogenization of thin perforated walls of finite length [14]. Asymptotic Analysis, 97(3-4): 211-264, 2016. [DOI [15]], [PDF [16]], [BibTeX [17]]


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 [18]. BIT, 55(1): 81–115, 2015. [DOI [19]], [PDF [20]], [BibTeX [21]]


Schmidt, K., Diaz, J. and Heier, C. Non-conforming Galerkin finite element methods for local absorbing boundary conditions of higher order [22]. Comput. Math. Appl., 70(9): 2252–2269, 2015. [DOI [23]], [PDF [24]], [BibTeX [25]]


Schmidt, K. and Heier, C. An analysis of Feng's and other symmetric local absorbing boundary conditions [26]. ESAIM Math. Model. Numer. Anal., 49(1): 257–273, 2015. [DOI [27]], [PDF [28]], [BibTeX [29]]


Schmidt, K. and Hiptmair, R. Asymptotic boundary element methods for thin conducting sheets [30]. Discrete Contin. Dyn. Syst. Ser. S, 8(3): 619–647, 2015. [DOI [31]], [BibTeX [32]]


2014

Klindworth, D. and Schmidt, K. Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides [33]. IEEE Trans. Magn., 50: 217–220, Feb 2014. [DOI [34]], [PDF [35]], [BibTeX [36]]


Schmidt, K. and Chernov, A. Robust transmission conditions of high order for thin conducting sheets in two dimensions [37]. IEEE Trans. Magn., 50(2): 41–44, Feb 2014. [DOI [38]], [PDF [39]], [BibTeX [40]]


Schmidt, K. and Hiptmair, R. Asymptotic boundary element methods for thin conducting sheets in two dimensions [41]. IEEE Trans. Magn., 50: 469–472, Feb 2014. [DOI [42]], [PDF [43]], [BibTeX [44]]


Klindworth, D. and Schmidt, K. An efficient calculation of photonic crystal band structures using Taylor expansions [45]. Commun. Comput. Phys., 16(5): 1355–1388, 2014. [PDF [46]], [BibTeX [47]]


Klindworth, D., Schmidt, K. and Fliss, S. Numerical realization of Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides [48]. Comput. Math. Appl., 67(4): 918–943, 2014. [DOI [49]], [PDF [50]], [BibTeX [51]]


Schmidt, K., Thöns-Zueva, A. and Joly, P. Asymptotic analysis for acoustics in viscous gases close to rigid walls [52]. Math. Models Meth. Appl. Sci., 24(9): 1823–1855, 2014. [DOI [53]], [PDF [54]], [BibTeX [55]]


2013

Schmidt, K. and Chernov, A. A unified analysis of transmission conditions for thin conducting sheets in the time-harmonic eddy current model [56]. SIAM J. Appl. Math, 73(6): 1980–2003, 2013. [DOI [57]], [PDF [58]], [BibTeX [59]]


Wang, M., Schmidt, K., Alparslan, A. and Hafner, C. hp-FEM and PML analysis of plasmonic particles in layered media [60]. Prog. Electromagn. Res., 142: 523–544, 2013. [PDF [61]], [BibTeX [62]]


next >> [64]

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Technical Reports

Schmidt, K. and Chernov, A. Robust families of transmission conditions of high order for thin conducting sheets [65]. INS Report, 1102, pp. 1–33, Institute for Numerical Simulation, University of Bonn, Feb 2011. [PDF [66]], [BibTeX [67]]


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Proceedings

Schmidt, K. and Chernov, A. Robust transmission conditions of high-order for thin conducting sheets [68]. Proc. 10th International Conference on Mathematical and Numerical Aspects of Wave Propagation: pp. 691–694, Jul 2011. [BibTeX [69]]


Schmidt, K. and Tordeux, S. Asymptotic expansion of highly conductive thin sheets [70]. PAMM – Proceedings of ICIAM’07, Vol. 7: pp. 2040011-2040012, Jul 2008. [BibTeX [71]]


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Thesis

Schmidt, K. High-order numerical modeling of highly conductive thin sheets [72]. ETH Zurich, Jul 2008. [PDF [73]], [BibTeX [74]]


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Talks

[48]
Langenbach-Seminar, WIAS Berlin, Invited talk on "Symmetric local absorbing boundary conditions for the Helmholtz equation", Berlin/Germany, June 11th, 2014.
[47]
Seminar in Numerical Analysis, Universität Basel, Talk on "Numerical analysis of boundary element methods for impedance transmission conditions", Basel/Switzerland, May 23rd, 2014.
[46]
Colloquium of the Modeling, Numerics, Differential Equations Group at TU Berlin, Talk on "Local impedance boundary conditions for wave propagation in viscous gases", Berlin/Germany , February 4th, 2014.
[45]
Oberseminar "Angewandte Analysis" at Universtität Dortmund, Talk on "Asymptotic modeling of acoustic wave propagation in viscous gases", Dortmund/Germany, January 9th, 2014.
[44]
Singular Days (JSA) 2013, Talk on "Boundary element methods for impedance transmission conditions", Rennes/France, August 30th, 2013.
[43]
COMPUMAG 2013, Talk on "Robust transmission conditions of high order for thin conducting sheets in two dimensions", Budapest/Hungary, July 2nd, 2013.
[42]
CE Seminar at TU Darmstadt, Invited talk on "Highly accurate impedance boundary conditions for thin conducting sheets", Darmstadt/Germany, June 17th, 2013.
[41]
WAVES 2013, Talk on "An asymptotic boundary element method for thin conducting sheets", Gammarth/Tunisia, June 4th, 2013.
[40]
IFIP TC7.2 Workshop "Electromagnetics — Modelling, Simulation, Control
and Industrial Applications
" at WIAS Berlin, Invited talk on "Transmission conditions for thin conducting sheets within the eddy current model", Berlin/Germany, May 16th, 2013.
[39]
MASOMO 2013 at WIAS Berlin, Invited talk on "Modelling of guided modes in photonic crystal wave-guides", Berlin/Germany, April 11th, 2013.
[38]
6th Annual Meeting Photonic Devices at Zuse Institute Berlin, Invited talk on "Modelling of photonic crystal waveguide modes", Berlin/Germany, February 22nd, 2013. [PDF [75]]
[37]
Aquitanie-Euskadi Workshop on Applied Mathematics, Invited Talk on "High order asymptotic expansion for viscous acoustic equations close to rigid walls", Biarritz/France, October 29th, 2012.
[36]
SCEE2012, ETH Zürich, Talk on "Robust transmission conditions of high order for thin conducting sheets", Zürich/Switzerland, September 11th, 2012.
[35]
CMAM-5, HU Berlin, Talk on "A boundary element method for impedance transmission conditions related to thin conducting sheets", Berlin/Germany, July 30th, 2012.
[34]
ESCO2012, Talk on "Modelling of TE and TM Modes in Photonic Crystal Wave-Guides", Pilsen/Czech Republic, June 26th, 2012.
[33]
MATHEON Multiscale Seminar, TU Berlin, Talk on "High order asymptotic expansion for viscous acoustic equations close to rigid walls", Berlin/Germany, June 21st, 2012.
[32]
Seminar "Nonlinear optimization and inverse problems", WIAS Berlin, Talk on "Asymptotic modelling of acoustic wave-propagation in viscous gases", Berlin/Germany, June 12th, 2012.
[31]
MATHEON Multiscale Workshop, TU Berlin, Talk on "Robust transmission conditions of high order for thin conducting sheets", Berlin/Germany, April 20th, 2012.
[30]
Seminar "Dünne Schichten", TU Berlin, Talk on "High order transmission conditions for conductive thin sheets", Berlin/Germany, October 27th and November 3rd, 2011.
[29]
Seminar "Numerical Analysis", HU Berlin, Talk on "Asymptotische Modellierung von Akustik in viskosen Gasen", Berlin/Germany, October 26th, 2011.
[28]
DMV Jahrestagung, Talk on "Modelling of photonic crystal wave-guide modes", Köln/Germany, September 20th, 2011.
[27]
Waves'11, Talk on "Robust transmission conditions of high-order for thin conducting sheets", Vancouver/Canada, July 25th, 2011.
[26]
Langenbach Seminar, WIAS Berlin, Talk on "High order transmission conditions for conductive thin sheets", Berlin/Germany, June 11th, 2011.
[25]
MATHEON Mitgliederversammlung, Invited talk on "Accurate modelling of PDEs with geometrical details by Asymptotic Analysis", Berlin/Germany, April 14th, 2011.
[24]
4th Annual Meeting Photonic Devices, Invited talk on "Modelling of TE and TM Modes in Photonic Crystal Wave-Guides ", Berlin/Germany, February 18th, 2011.
[23]
Seminar of Scientific computation and modelisation, Institute de Mathematique Bordeaux, Talk on "Viscous Acoustic Equations in periodically perforated chamber - A Modelling by Surface Homogenisation and Matched Asymptotic Expansions", Bordeaux/France, September 30th, 2010.
[22]
ACE'2010, Talk on "Impedance transmission conditions for thin conducting sheets", Zürich/Switzerland, July 6th, 2010.
[21]
Workshop "Effective Boundary Conditions in Aeroacoustics", Invited talk on "Viscous impedance conditions for acoustic waves derived by asymptotic methods", Paris/France, June 30th 2010.
[20]
Singular Days 2010, Invited talk on "Viscous Acoustic Equations in periodically perforated chamber", Berlin/Germany, May 1st, 2010.
[19]
Seminar of the DEFI team, INRIA Saclay and École Polytechnique, Talk on "High order transmission conditions for conductive thin sheets - asymptotic expansion versus optimal basis", Palaiseau/France, April 26th, 2010.
[18]
Mathematics Graduate Colloqium Zurich, Talk on "What are... Concepts of High-order Finite Element Methods?", Zürich/Switzerland, April 20th, 2010. [PDF [76]]
[17]
Swiss Numerics Day, Talk on "High order transmission conditions for conductive thin sheets - asymptotic expansion versus optimal basis", Zürich/Switzerland, April 16th, 2010.
[16]
Seminar at Université Paris VI, Talk on "High order transmission conditions for conductive thin sheets - Asymptotic Expansions versus Thin Sheet Bases", Paris/France, 29th March 2010.
[15]
GAMM'10, Talk on "High-Order Transmission Conditions of Thin Conducting Sheets by Thin Sheet Bases", Karlsruhe/Germany, March 23rd, 2010.
[14]
Seminar at Université de Rennes 1, Talk on "Modelling in Electromagnetics with the hp-FEM and Asymptotic Expansions", Rennes/France, March 11th, 2010.
[13]
Seminar at UPC Barcelona, Talk on "Modelling in Electromagnetics and Nanophotonics by hp-FEM, Multiscale FEM and Asymptotic Expansions", Barcelona/Spain, February 19th, 2010.
[12]
Macadam Workshop, Talk on "High order transmission conditions for conductive thin sheets - asymptotic expansions versus thin sheet bases", Rennes/France, September 1st, 2009. [PDF [77]]
[11]
Zurich NanoOptics Workshop 2009, Talk on "hp-adaptive Finite Elements in the C++ library Concepts", Zürich/Switzerland, July 8th, 2009. [PDF [78]]
[10]
ICOSAHOM'09, Talk on "Anisotropic hp-adaptive H(curl)-conforming FE space in 2D on meshes with hanging nodes", Trondheim/Norway, June 24th, 2009.
[9]
Waves'09, Talk on "Modelling of TE and TM Modes in Photonic Crystal Wave-Guides", Pau/France, June 15th, 2009. [PDF [79]]
[8]
Karlsruhe University, Invited talk on "Photonic Bandstructure Calculation with the p- and hp-FEM", November 4th, 2008. [PDF [80]]
[7]
Chemnitz FEM Symposium, Talk on "High-order numerical modelling of highly conductive thin sheets", Chemnitz/Germany, September 22nd, 2008. [PDF [81]]
[6]
Seminar at INSA Toulouse/France, Invited talk on "Approximation of highly conductive thin sheets with asymptotic expansion", January 17th, 2008.
[5]
Enumath'07, Talk on "Estimating the eddy-current modelling error", Graz/Austria, August 14th, 2007.
[4]
ICIAM'07, Talk on "Approximation of highly conductive thin sheets with asymptotic expansion", Zurich/Switzerland, July 19th, 2007.
[3]
HOFEM'07, "Computation of the band structure of two-dimensional Photonic Crystals with high order Finite Elements", Herrsching/Germany, May 20th, 2007.
[2]
Chemnitz FEM Symposium 2005, Talk on "Mixed hp-adaptive FEM for the eddy current model", Chemnitz/Germany, October 19th, 2005.
[1]
SAM Colloqium, Talk on "hp-adaptive FE discretization for time-harmonic Maxwell equations in two dimensions", December 22nd, 2004.

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