A‐priori error estimates for consistent, refined theories for thin structures | Zendy

Schneider Patrick | Zendy; Kienzler Reinhold | Zendy

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A‐priori error estimates for consistent, refined theories for thin structures

Author(s) -

Schneider Patrick,

Kienzler Reinhold

Publication year - 2016

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201610107

Subject(s) - a priori and a posteriori , isotropy , extension (predicate logic) , hierarchy , truncation (statistics) , truncation error , mathematics , dual (grammatical number) , approximation error , energy (signal processing) , mathematical analysis , computer science , physics , statistics , quantum mechanics , philosophy , literature , epistemology , market economy , art , economics , programming language

We propose an extension of the uniform approximation approach towards the simultaneous truncation of the associated dual energy. In the talk, we derive a hierarchy of approximating theories and corresponding a‐priori error estimates for their solutions, for the special case of an isotropic, linear elastic, one‐dimensional structural member with rectangular cross‐section. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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