A posteriori estimates for conforming Kirchhoff plate elements
Tom Gustafsson, Rolf Stenberg, Juha Videman
TL;DR
This paper develops residual a posteriori error estimators for Kirchhoff plate bending problems with various boundary conditions and loads, supported by extensive numerical validation.
Contribution
It introduces a residual a posteriori estimator tailored for Kirchhoff plate elements considering mixed boundary conditions and load types, validated through numerical experiments.
Findings
Estimator accurately predicts errors in Kirchhoff plate problems.
Numerical results confirm the estimator's reliability and efficiency.
Method adapts to different boundary conditions and load configurations.
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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Taxonomy
TopicsStructural Health Monitoring Techniques · Probabilistic and Robust Engineering Design · Numerical methods in engineering