Article ID Journal Published Year Pages File Type
499403 Computer Methods in Applied Mechanics and Engineering 2008 15 Pages PDF
Abstract

A new family of C0 Kirchhoff plate elements has been introduced by the authors in the theoretical counterpart of the present paper; A family of C0finite elements for Kirchhoff plates I: Error analysis. The method presented is a displacement formulation with the deflection and the rotation as unknowns. In the theoretical part, an a priori and an a posteriori error analysis has been accomplished for the family. In the present contribution, the authors first give a supplementary derivation of the method and recall the main theoretical results, then focus on the computational aspects of the method, and finally present a set of numerical results on various benchmark computations. These tests verify the optimal convergence rate of the method and illustrate the robustness of the reliable and efficient residual-based a posteriori error estimator for adaptive mesh refinements.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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