Übersicht

Kaskade 7 ist ein Finite-Elemente-Baukasten zur Lösung stationärer oder transienter systeme partieller Differentialgleichungen. Die Bibliothek ist in C++ geschrieben und basiert auf dem DUNE-Interface. Für Details siehe die englische Seite.

Authors

• Martin Weiser
• Anton Schiela
• Sebastian Götschel
• Lars Lubkoll

Mit Beiträgen von

• Rainer Roitzsch
• Bodo Erdmann
• Felix Lehmann
• Juliane Rosemeier
• Lutz Weimann

Veröffentlichungen:

• Peter Deuflhard, Martin Weiser:
  Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen,
  de Gruyter, 2011.
• Peter Deuflhard, Martin Weiser:
  Adaptive numerical solution of PDEs,
  de Gruyter,  2012.
• Olaf Schenk, Andreas Wächter, Martin Weiser:
  Inertia revealing preconditioning for large-scale nonconvex constrained optimization,
  SIAM J. Sci. Comp. 31(2): 939-960(2008).
• Martin Weiser:
  Optimization and Identification in Regional Hyperthermia,
  Int. J. Appl. Electromagn. and Mech. 30: 265-275(2009).
• Martin Weiser:
  Pointwise Nonlinear Scaling for Reaction-Diffusion Equations,
  Appl. Num. Math. 59 (8): 1858-1869(2009).
• Anton Schiela, Andreas Günther:
  An interior point algorithm with inexact step computation in function space
  for state constrained optimal control,
  Num. Math. 119(2): 373-407(2011), see also ZIB Report 09-01 (2009).
• Martin Weiser:
  On goal–oriented adaptivity for elliptic optimal control problems,
  to appear in Opt. Meth. Softw., see also ZIB-Report 09-08 (2009).
• Anton Schiela, Martin Weiser:
  Barrier methods for a control problem from hyperthermia treatment planning,
  in M. Diehl, F. Glineur, E. Jarlebring, W. Michiels (eds.): Recent Advances
  in Optimization and its Applications in Engineering (Proceedings of 14th
  Belgian-French-German Conference on Optimization 2009), 419-428(2010),
  Springer, see also ZIB-Report 09-36 (2009).
• Martin Weiser, Sebastian Götschel:
  State trajectory compression for optimal control with parabolic PDEs,
  SIAM J. Sci. Comp., 34(1):A161-A184(2012), see also ZIB Report 10-05
  (2010).
• Sebastian Götschel, Martin Weiser, Anton Schiela:
  Solving optimal control problems with the Kaskade7 Finite Element Toolbox,
  in Dedner, Flemisch, Klöfkorn (Eds.) Advances in DUNE, 101-112(2012),
  Springer, see also ZIB Report 10-25 (2010).
• Lars Lubkoll:
  Optimal control in implant shape design,
  thesis, TU Berlin 2011.
• Peter Deuflhard, Anton Schiela, Martin Weiser:
  Mathematical cancer therapy planning in deep regional hyperthermia,
  Acta Numerica 21: 307-378(2012), see also ZIB-Report 11-39 (2011).
• Lars Lubkoll, Anton Schiela, Martin Weiser:
  An optimal control problem in polyconvex hyperelasticity,
  ZIB-Report 12-08 (2012).
  

Dokumentation:

• Doxygen Dokumentation zu Kaskade7.2
• Programmers Manual

Forschungscode auf Anfrage (Lizenzbedingungen) erhältlich von M. Weiser.