Dr. Thorsten Kattelans

Peer-reviewed Publications

• The Least-Squares Spectral Collocation Method for Incompressible Flows
  Dissertation, University of Duisburg-Essen (2009)
  Verlag Dr. Köster Berlin,
  ISBN: 978-3895747281
  
  
• Mass and momentum conservation of the Least-Squares Spectral Collocation Method for the time-dependent Stokes equations (preprint),
  Proceedings of the "International Conference on Numerical Analysis and Applied Mathematics 2009 (ICNAAM 2009)", Rethymno (Crete, Greece)
  Editors: T.E. Simos, G. Psihoyios, Ch. Tsitouras
  AIP Conference Proceedings, Volume 1168, Pages 197-200 (2009)
  ISBN: 978-0-7354-0709
  http://dx.doi.org/10.1063/1.3241425
  (joint work with W. Heinrichs)
  
  
• Conservation of mass and momentum of the least-squares spectral collocation scheme for the Stokes problem (preprint),
  Journal of Computational Physics, Volume 228, Issue 13, Pages 4649-4664 (2009)
  http://dx.doi.org/10.1016/j.jcp.2009.03.015
  (joint work with W. Heinrichs)
  
  
• A least-squares spectral collocation scheme with improved stability for the Stokes and the Navier-Stokes equations (preprint),
  Proceedings of the "International Conference on Numerical Analysis and Applied Mathematics 2008 (ICNAAM 2008)", Psalidi (Kos, Greece)
  Editors: T.E. Simos, G. Psihoyios, Ch. Tsitouras
  AIP Conference Proceedings, Volume 1048, Pages 307-310 (2008)
  ISBN: 978-0-7354-0576-9
  http://dx.doi.org/10.1063/1.2990919
  (joint work with W. Heinrichs)
  
  
• A direct solver for the least-squares spectral collocation system on rectangular elements for the incompressible Navier-Stokes equations (preprint),
  Journal of Computational Physics, Volume 227, Issue 9, Pages 4776-4796 (2008)
  http://dx.doi.org/10.1016/j.jcp.2008.01.025
  (joint work with W. Heinrichs)
  
  
• Spektrale Least-Squares Verfahren für inkompressible Navier-Stokes-Gleichungen (pdf)
  Diploma thesis (in german), University of Duisburg-Essen (2007)
  
  

Download

• The Least-Squares Spectral Collocation Method for the Stokes and the Navier-Stokes equations: Conservation of mass and momentum (pdf), 185 kB,
  (joint work with W. Heinrichs)
  
  
• Mass and momentum conservation of the Least-Squares Spectral Collocation Method for the Navier-Stokes equations (pdf), 753 kB,
  (joint work with W. Heinrichs)
  
  
• A direct solver for the least-squares spectral collocation system on rectangular elements for the Stokes equations (pdf), 939 kB,
  (joint work with W. Heinrichs)