Matheon Fakultät II TU Berlin Mathematik tu_logo with 3 links

 

Publications

Preprints - Technical reports

[5] K. Schmidt and A.Chernov, "Robust families of transmission conditions of high order for thin conducting sheets", INS Report 1102, University of Bonn, Feb. 2011.
PDF (2.6 MB) BIB
[4] H. Brandsmeier, K. Schmidt and Ch. Schwab, "A multiscale hp-FEM for 2D photonic crystal bands", SAM Report 2010-12, ETH Zurich, April 2010.
PDF (3.0 MB), BIB, URL (Extended version of article [7])
[3] K.Schmidt, "hp-adaptive FEM for time-harmonic Eddy current problems".
CSE Annual Report, ETH Zurich, 2005
[2] K.Schmidt and Ph.Frauenfelder, "hp-adaptive FE discretization for time-harmonic Maxwell equations in 2D".
CSE Annual Report, ETH Zurich, 2004
[1] Ph.Frauenfelder, K.Schmidt and Ch. Schwab, "Design of an hp-adaptive FE code for general elliptic problems in 3D".
CSE Annual Report, ETH Zurich, 2003

Peer-reviewed articles

[9] K. Schmidt and S. Tordeux, "High order transmission conditions for thin conductive sheets in magneto-quasistatics", M2AN, 45(6): 1115-1140, Nov. 2011.
PDF (1.9 MB) BIB, URL
[8] M. Wang, C. Engström, K. Schmidt and C. Hafner, "On high-order FEM applied to canonical scattering problems in plasmonics", J. Comput. Theor. Nanosci., 8:1-9, 2011.
[7] H. Brandsmeier, K. Schmidt and Ch. Schwab, "A multiscale hp-FEM for 2D photonic crystal bands", J. Comp. Phys., 230: 349-374, Jan 2011.
PDF (1.1 MB), BIB, URL
[6] K. Schmidt and S. Tordeux, "Asymptotic modelling of conductive thin sheets", Z. Angew. Math. Phys., 61(4):603-626, Aug 2010.
PDF (3.5 MB), BIB, URL
[5] K. Schmidt and R. Kappeler, "Efficient Computation of Photonic Crystal Waveguide Modes with Dispersive Material", Opt. Express, 18: 7307-7322, March 2010.
PDF (4 MB) BIB, URL
[4] C. Engström, C. Hafner, and K. Schmidt. "Computations of lossy bloch waves in two-dimensional photonic crystals.", J. Comput. Theor. Nanosci., 6: 775-783, March 2009.
PDF (470kB), BIB
[3] K.Schmidt and P. Kauf. "Computation of the band structure of two-dimensional photonic crystals with hp finite elements.", Comp. Meth. App. Mech. Engr., 198:1249-1259, March 2009.
PDF (703kB), BIB
[2] M. Blome, H.R. Maurer, K. Schmidt, "Advances on 3D geoelectric forward solver techniques", Geophys. J. Int., 176:740-752, March 2009.
BIB
[1] K.Schmidt, O. Sterz, and R. Hiptmair."Estimating the eddy-current modelling error", IEEE Trans. Magn., 44:686-689, June 2008.
PDF(330 kB) BIB

Proceedings

[1] K. Schmidt and S. Tordeux, "Asymptotic expansion of highly conductive thin sheets", PAMM - Proceedings of ICIAM'07, 7:2040011-2040012, July 2008.
PDF (852 kB)

Thesis

[2] K. Schmidt, "High-order numerical modeling of highly conductive thin sheets", Ph.D. thesis, ETH Zurich, July 2008.
PDF (6.1 MB) BIB
[1] K.Schmidt, "Numerische Berechnung der elektronischen Subbandstruktur in Quantum-Wells bei der Simulation von Laserdioden", Diplomarbeit, TU Ilmenau, December 2001.
PDF(5.2 MB)

Talks

[30] Seminar "Düunne Schichten", TU Berlin, Talk on "High order transmission conditions for conductive thin sheets", Berlin/Germany, 27th October and 3th November 2011
[29] Seminar "Numerical Analysis" HU Berlin, Talk on "Asymptotische Modellierung von Akustik in viskosen Gasen", Berlin/Germany, 26th October 2011
[28] DMV Jahrestagung, Talk on "Modelling of photonic crystal wave-guide modes", Köln/Germany, 20th September 2011
[27] Waves'11, Talk on "Robust transmission conditions of high-order for thin conducting sheets", Vancouver/Canada, 25th July 2011
[26] Langenbach Seminar, Talk on "High order transmission conditions for conductive thin sheets", WIAS, Berlin/Germany, 11th June 2011
[25] Matheon Mitgliederversammlung, Invited talk on "Accurate modelling of PDEs with geometrical details by Asymptotic Analysis", Berlin/Germany, 14th April 2011
[24] 4th Annual Meeting Photonic Devices, Invited talk on "Modelling of TE and TM Modes in Photonic Crystal Wave-Guides ", Berlin/Germany, 18th February 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, 30th September 2010.
[22] ACE'2010, Talk on "Impedance transmission conditions for thin conducting sheets", Zurich/Switzerland, 6th July 2010.
[21] Workshop "Effective Boundary Conditions in Aeroacoustics", Invited talk on "Viscous impedance conditions for acoustic waves derived by asymptotic methods", Paris/France, 30th June 2010.
[20] Singular Days 2010, Invited talk on "Viscous Acoustic Equations in periodically perforated chamber", Berlin/Germany, 1st May 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, 26th April 2010.
[18] Mathematics Graduate Colloqium Zurich, Talk on "What are... Concepts of High-order Finite Element Methods?", Zürich/Switzerland, 20th April 2010. PDF
[17] Swiss Numerics Day, Talk on "High order transmission conditions for conductive thin sheets - asymptotic expansion versus optimal basis", Zürich/Switzerland, 16th April 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, 23th March 2010.
[14] Seminar at Université de Rennes 1, Talk on "Modelling in Electromagnetics with the hp-FEM and Asymptotic Expansions", Rennes/France, 11th March 2010.
[13] Seminar at UPC Barcelona, Talk on "Modelling in Electromagnetics and Nanophotonics by hp-FEM, Multiscale FEM and Asymptotic Expansions", Barcelona/Spain, 19th Feb. 2010.
[12] Macadam Workshop, Talk on "High order transmission conditions for conductive thin sheets - asymptotic expansions versus thin sheet bases", Rennes/France, 1st Sept. 2009. PDF
[11] Zurich NanoOptics Workshop 2009, Talk on "hp-adaptive Finite Elements in the C++ library Concepts", Zürich/Switzerland, 8th July 2009. PDF
[10] ICOSAHOM'09, Talk on "Anisotropic hp-adaptive H(curl)-conforming FE space in 2D on meshes with hanging nodes", Trondheim/Norway, 24th June 2009.
[9] Waves'09, Talk on "Modelling of TE and TM Modes in Photonic Crystal Wave-Guides", Pau/France, 15th June 2009. PDF
[8] Karlsruhe University, Invided talk on "Photonic Bandstructure Calculation with the p- and hp-FEM", 4th Nov 2008. PDF
[7] Chemnitz FEM Symposium, Talk about "High-order numerical modelling of highly conductive thin sheets", Chemnitz (Germany), 22nd Sept 2008. PDF
[6] Seminar at INSA Toulouse (France), Invited talk on "Approximation of highly conductive thin sheets with asymptotic expansion", 17th January 2008
[5] Enumath'07, Talk on "Estimating the eddy-current modelling error", Graz (Austria), 14th August 2007
[4] ICIAM'07, Talk on "Approximation of highly conductive thin sheets with asymptotic expansion", Zurich (Switzerland), 19th July 2007
[3] HOFEM'07, "Computation of the band structure of two-dimensional Photonic Crystals with high order Finite Elements", Herrsching (Germany), 20th May 2007
[2] Chemnitz FEM Symposium 2005, Talk on "Mixed hp-adaptive FEM for the eddy current model", Chemnitz (Germany), 19th October 2005
[1] SAM Colloqium, Talk on "hp-adaptive FE discretization for time-harmonic Maxwell equations in two dimensions", 22nd December 2004