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2020 | OriginalPaper | Buchkapitel

Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity

verfasst von : Fleurianne Bertrand, Bernhard Kober, Marcel Moldenhauer, Gerhard Starke

Erschienen in: Novel Finite Element Technologies for Solids and Structures

Verlag: Springer International Publishing

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Abstract

Based on the displacement–pressure approximation computed with a stable finite element pair, a stress equilibration procedure for linear elasticity is proposed. Our focus is on the Taylor–Hood finite element space, with emphasis on the behavior for (nearly) incompressible materials. From a combination of displacement in the standard continuous finite element spaces of polynomial degrees k+1 and pressure in the standard continuous finite element spaces of polynomial degrees k, we construct an H(div)-conforming, weakly symmetric stress reconstruction. Explicit formulas are first given for a flux reconstruction and then for the stress reconstruction.

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Vorheriges Kapitel Sensitivity Analysis Based Automation of Computational Problems

Nächstes Kapitel A Concept for the Extension of the Assumed Stress Finite Element Method to Hyperelasticity

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Titel: Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity
verfasst von: Fleurianne Bertrand
Bernhard Kober
Marcel Moldenhauer
Gerhard Starke
Verlag: Springer International Publishing
Buch: Novel Finite Element Technologies for Solids and Structures
Print ISBN: 978-3-030-33519-9

Electronic ISBN: 978-3-030-33520-5

Copyright-Jahr: 2020
DOI: https://doi.org/10.1007/978-3-030-33520-5_3

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