Kaskade 7 is a finite element toolbox for the solution of stationary or transient systems of partial differential equations. The library is written in C++ and is based on the DUNE-Interface. The code is independent of spatial dimension and works with different grid managers. An important feature is the mix-and-match approach to discretizing systems of PDEs with different ansatz and test spaces for all variables. The library is under active development, features are implemented as needed in other projects.

References in zbMATH (referenced in 35 articles )

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  1. Grüne, Lars; Schaller, Manuel; Schiela, Anton: Sensitivity analysis of optimal control for a class of parabolic PDEs motivated by model predictive control (2019)
  2. Peter Bastian, Markus Blatt, Andreas Dedner, Nils-Arne Dreier, Christian Engwer, René Fritze, Carsten Gräser, Christoph Grüninger, Dominic Kempf, Robert Klöfkorn, Mario Ohlberger, Oliver Sander: The DUNE Framework: Basic Concepts and Recent Developments (2019) arXiv
  3. Fischer, Lisa; Götschel, Sebastian; Weiser, Martin: Lossy data compression reduces communication time in hybrid time-parallel integrators (2018)
  4. Weiser, Martin; Freytag, Yvonne; Erdmann, Bodo; Hubig, Michael; Mall, Gita: Optimal design of experiments for estimating the time of death in forensic medicine (2018)
  5. Müller, Georg; Schiela, Anton: On the control of time discretized dynamic contact problems (2017)
  6. Götschel, Sebastian; von Tycowicz, Christoph; Polthier, Konrad; Weiser, Martin: Reducing memory requirements in scientific computing and optimal control (2015)
  7. Götschel, Sebastian; Weiser, Martin: Lossy compression for PDE-constrained optimization: adaptive error control (2015)
  8. Götschel, S.; Chamakuri, N.; Kunisch, K.; Weiser, M.: Lossy compression in optimal control of cardiac defibrillation (2014)
  9. Schiela, Anton: An interior point method in function space for the efficient solution of state constrained optimal control problems (2013)
  10. Weiser, Martin: On goal-oriented adaptivity for elliptic optimal control problems (2013)
  11. Weiser, Martin; Götschel, Sebastian: State trajectory compression for optimal control with parabolic PDEs (2012)
  12. Franzone, Piero Colli; Deuflhard, Peter; Erdmann, Bodo; Lang, Jens; Pavarino, Luca F.: Adaptivity in space and time for reaction-diffusion systems in electrocardiology (2006)
  13. Gross, Sven; Reusken, Arnold: Parallel multilevel tetrahedral grid refinement (2005)
  14. Lang, Jens; Cao, Weiming; Huang, Weizhang; Russell, Robert D.: A two-dimensional moving finite element method with local refinement based on a posteriori error estimates (2003)
  15. Bertolazzi, Enrico; Manzini, Gianmarco: Algorithm 817 P2MESH: generic object-oriented interface between 2-D unstructured meshes and FEM/FVM-based PDE solvers (2002)
  16. Deuflhard, Peter; Weiser, Martin; Seebass, Martin: A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning (2000)
  17. Kees, Christopher E.; Miller, Cass T.: (\text\textbfC^++) implementations of numerical methods for solving differential-algebraic equations: Design and optimization considerations (1999)
  18. Fröhlich, Jochen; Lang, Jens: Two-dimensional cascadic finite element computations of combustion problems (1998)
  19. Lang, Jens: Adaptive FEM for reaction-diffusion equations (1998)
  20. Beck, Rudolf; Erdmann, Bodo; Roitzsch, Rainer: An object-oriented adaptive finite element code: Design issues and applications in hyperthermia treatment planning (1997)

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Further publications can be found at: http://www.zib.de/projects/kaskade7-finite-element-toolbox#opus-year-2014