Software Package for Solving Non-linear Evolution Problems The code KARDOS was originally developed at ZIB Berlin to solve systems of non-linear mixed parabolic-elliptic partial differential equations by means of adaptive space and time discretizations. Linearly implicit one-step methods of Rosenbrock type are coupled with standard Finite Elements of various orders. KARDOS uses unstructured grids in one, two, and three space dimensions. A large proportion of the current work is carried out in close collaboration with ZIB Berlin. Extensions that we are working on include: incorporation of computational fluid dynamics (CFD), optimisation and moving finite elements.

References in zbMATH (referenced in 14 articles )

Showing results 1 to 14 of 14.
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  1. Palitta, Davide: Matrix equation techniques for certain evolutionary partial differential equations (2021)
  2. Schröder, Dirk; Gerisch, Alf; Lang, Jens: Space-time adaptive linearly implicit peer methods for parabolic problems (2017)
  3. Huang, Weizhang; Kamenski, Lennard; Lang, Jens: Stability of explicit one-step methods for P1-finite element approximation of linear diffusion equations on anisotropic meshes (2016)
  4. Bott, Stefanie; Clever, Debora; Lang, Jens; Ulbrich, Stefan; Ziems, Jan; Schröder, Dirk: On a fully adaptive SQP method for PDAE-constrained optimal control problems with control and state constraints (2014)
  5. Clever, Debora; Lang, Jens; Ulbrich, Stefan; Ziems, Carsten: Generalized multilevel SQP-methods for PDAE-constrained optimization based on space-time adaptive PDAE solvers (2012)
  6. Clever, D.; Lang, J.: Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient (2012)
  7. Frank, Martin; Lang, Jens; Schäfer, Matthias: Adaptive finite element simulation of the time-dependent simplified (P_N) equations (2011)
  8. Gerisch, A.; Lang, J.; Podhaisky, H.; Weiner, R.: High-order linearly implicit two-step peer - finite element methods for time-dependent PDEs (2009)
  9. Franzone, Piero Colli; Deuflhard, Peter; Erdmann, Bodo; Lang, Jens; Pavarino, Luca F.: Adaptivity in space and time for reaction-diffusion systems in electrocardiology (2006)
  10. Martin, Alexander; Möller, Markus; Moritz, Susanne: Mixed integer models for the stationary case of gas network optimization (2006)
  11. Lang, Jens: Adaptive computation for boundary control of radiative heat transfer in glass (2005)
  12. Erdmann, Bodo; Lang, Jens; Roitzsch, Rainer: Adaptive linearly implicit methods for instationary nonlinear problems (2001)
  13. Lang, J.: Numerical solution of reaction-diffusion equations (1996)
  14. Lang, Jens: Two-dimensional fully adaptive solutions of reaction-diffusion equations (1995)

Further publications can be found at: http://www3.mathematik.tu-darmstadt.de/hp/numerik-und-wissenschaftliches-rechnen-homepages/lang-jens/prof-dr-jens-lang/publications.html