Fast Solvers and A Posteriori Error Estimates in Elastoplasticity

  • Peter G. Gruber
  • Johanna Kienesberger
  • Ulrich LangerEmail author
  • Joachim Schöberl
  • Jan Valdman
Part of the Texts & Monographs in Symbolic Computation book series (TEXTSMONOGR)


The paper reports some results on computational plasticity obtained within the Special Research Program “Numerical and Symbolic Scientific Computing” and within the Doctoral Program “Computational Mathematics” both supported by the Austrian Science Fund FWF under the grants SFB F013 and DK W1214, respectively. Adaptivity and fast solvers are the ingredients of efficient numerical methods. The paper presents fast and robust solvers for both 2D and 3D plastic flow theory problems as well as different approaches to the derivations of a posteriori error estimates. In the last part of the paper higher-order finite elements are used within a new plastic-zone concentrated setup according to the regularity of the solution. The theoretical results obtained are well supported by the results of our numerical experiments.


Posteriori Error Estimators Symbolic Scientific Computing Slanting Function Concentrated Finite Element High Order FEM 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag/Wien 2012

Authors and Affiliations

  • Peter G. Gruber
    • 1
  • Johanna Kienesberger
    • 1
  • Ulrich Langer
    • 1
    Email author
  • Joachim Schöberl
    • 1
  • Jan Valdman
    • 1
  1. 1.Institute of Computational MathematicsJohannes Kepler University LinzLinzAustria

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