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Fast Solvers and A Posteriori Error Estimates in Elastoplasticity

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Numerical and Symbolic Scientific Computing

Part of the book series: Texts & Monographs in Symbolic Computation ((TEXTSMONOGR))

Abstract

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.

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Authors and Affiliations

  1. Institute of Computational Mathematics, Johannes Kepler University Linz, 4040, Linz, Austria

    Peter G. Gruber, Johanna Kienesberger, Ulrich Langer, Joachim Schöberl & Jan Valdman

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  1. Peter G. Gruber
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  2. Johanna Kienesberger
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  3. Ulrich Langer
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  4. Joachim Schöberl
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  5. Jan Valdman
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Correspondence to Ulrich Langer .

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Editors and Affiliations

  1. Inst. Numerische Mathematik, Universität Linz, Altenbergerstr. 69, Linz, 4040, Austria

    Ulrich Langer

  2. , Research Institute for Symbolic Computat, Johannes Kepler University, Altenbergerstr. 69, Linz, 4040, Austria

    Peter Paule

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Gruber, P.G., Kienesberger, J., Langer, U., Schöberl, J., Valdman, J. (2012). Fast Solvers and A Posteriori Error Estimates in Elastoplasticity. In: Langer, U., Paule, P. (eds) Numerical and Symbolic Scientific Computing. Texts & Monographs in Symbolic Computation. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0794-2_3

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  • DOI: https://doi.org/10.1007/978-3-7091-0794-2_3

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