A posteriori estimates for conforming Kirchhoff plate elements

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date

2018

Department

Department of Mathematics and Systems Analysis

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Mcode

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Language

en

Pages

22

Series

SIAM Journal on Scientific Computing, Volume 40, issue 3, pp. A1386-A1407

Abstract

We derive a residual a posteriori estimator for the Kirchhoff plate bending problem. We consider the problem with a combination of clamped, simply supported, and free boundary conditions subject to both distributed and concentrated (point and line) loads. Extensive numerical computations are presented to verify the functionality of the estimators.

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Keywords

Kirchhoff plate, C-1 elements, a posteriori estimates, DISCONTINUOUS GALERKIN METHOD, C-0 FINITE-ELEMENTS, BOUNDARY-CONDITIONS, ERROR ESTIMATOR, PENALTY METHOD, APPROXIMATIONS, FAMILY

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DOI

10.1137/17M1137334

Citation

Gustafsson, T, Stenberg, R & Videman, J 2018, 'A posteriori estimates for conforming Kirchhoff plate elements', SIAM Journal on Scientific Computing, vol. 40, no. 3, pp. A1386-A1407. https://doi.org/10.1137/17M1137334

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https://urn.fi/URN:NBN:fi:aalto-201902251897

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[article-cris] Perustieteiden korkeakoulu / SCI