A posteriori estimates for conforming Kirchhoff plate elements
arXiv:1707.0839617 citationsh-index: 38
AI Analysis
It provides a tool for adaptive mesh refinement in Kirchhoff plate finite element analysis, but the contribution is incremental as it extends existing residual estimation techniques.
The paper derives a residual a posteriori error estimator for the Kirchhoff plate bending problem with various boundary conditions and loads, and validates it through numerical experiments.
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.