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Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics pp 59–147Cite as

Hierarchical Model and Solution Adaptivity of Thin-walled Structures by the Finite-Elements-Method

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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 416))

Abstract

Hierarchical discretization and model adaptivity is achieved by locally computed quantitative (absolute) global error estimators with strict upper bounds for the discretization error of the FE-solution with respect to the boundary value problem of the current mathematical model and also for a model within a nested sequence of models from lower to higher complexity for dimensions, kinematics and material behavior in order to account for boundary layers, stress concentrations, stiffness jumps etc. as well as for changes of material behavior (e.g. from elastic to elastoplastic deformations).

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Author information

Authors and Affiliations

  1. Institute for Structural and Computational Mechanics, University of Hanover, Appelstraße 9A, 30167, Hannover, Germany

    Erwin Stein, Rainer Niekamp, Stephan Ohnimus & Matthias Schimdt

Authors
  1. Erwin Stein
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  2. Rainer Niekamp
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  3. Stephan Ohnimus
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  4. Matthias Schimdt
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Editor information

Editors and Affiliations

  1. University of Hannover, Germany

    Erwin Stein

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Stein, E., Niekamp, R., Ohnimus, S., Schimdt, M. (2005). Hierarchical Model and Solution Adaptivity of Thin-walled Structures by the Finite-Elements-Method. In: Stein, E. (eds) Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics. CISM International Centre for Mechanical Sciences, vol 416. Springer, Vienna. https://doi.org/10.1007/3-211-38060-4_2

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  • DOI: https://doi.org/10.1007/3-211-38060-4_2

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-26975-6

  • Online ISBN: 978-3-211-38060-4

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