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 40 articles , 1 standard article )

Showing results 21 to 40 of 40.
Sorted by year (citations)
  1. Deuflhard, Peter; Weiser, Martin; Seebass, Martin: A new nonlinear elliptic multilevel FEM in clinical cancer therapy planning (2000)
  2. Kees, Christopher E.; Miller, Cass T.: (\text\textbfC^++) implementations of numerical methods for solving differential-algebraic equations: Design and optimization considerations (1999)
  3. Fröhlich, Jochen; Lang, Jens: Two-dimensional cascadic finite element computations of combustion problems (1998)
  4. Lang, Jens: Adaptive FEM for reaction-diffusion equations (1998)
  5. Beck, Rudolf; Erdmann, Bodo; Roitzsch, Rainer: An object-oriented adaptive finite element code: Design issues and applications in hyperthermia treatment planning (1997)
  6. Hoppe, Ronald H. W.; Wohlmuth, Barbara: Adaptive multilevel techniques for mixed finite element discretizations of elliptic boundary value problems (1997)
  7. Bornemann, Folkmar A.; Erdmann, Bodo; Kornhuber, Ralf: A posteriori error estimates for elliptic problems in two and three space dimensions (1996)
  8. Kornhuber, Ralf: Monotone multigrid methods for elliptic variational inequalities. II (1996)
  9. Lang, Jens: Two-dimensional fully adaptive solutions of reaction-diffusion equations (1995)
  10. Lang, Jens; Walter, Artur: An adaptive discontinuous finite element method for the transport equation (1995)
  11. Leinen, P.: Data structures and concepts for adaptive finite element methods (1995)
  12. Bornemann, Folkmar A.: Adaptive solution of one-dimensional scalar conservation laws with convex flux (1994)
  13. Deuflhard, Peter: Cascadic conjugate gradient methods for elliptic partial differential equations: Algorithm and numerical results (1994)
  14. Erdmann, B.; Hoppe, R. H. W.; Kornhuber, R.: Adaptive multilevel-methods for obstacle problems in three space dimensions (1994)
  15. Kornhuber, Ralf: Monotone multigrid methods for elliptic variational inequalities. I (1994)
  16. Bornemann, Folkmar; Erdmann, Bodo; Kornhuber, Ralf: Adaptive multilevel methods in three space dimensions (1993)
  17. Erdmann, B.; Frei, M.; Hoppe, R. H. W.; Kornhuber, R.; Wiest, U.: Adaptive finite element methods for variational inequalities (1993)
  18. Kornhuber, R.; Wittum, G.: Discretization and iterative solution of convection diffusion equations (1993)
  19. Bornemann, Folkmar A.: An adaptive multilevel approach to parabolic equations. III: 2D error estimation and multilevel preconditioning (1992)
  20. Bornemann, Folkmar A.: An adaptive multilevel approach to parabolic equations. I: General theory and 1D implementation (1990)

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