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arXiv · 1505.02332

Capacity of the Adini element for biharmonic equations

Jun Hu·Xueqin Yang·Shuo Zhang
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Abstract

This paper is devoted to the convergence analysis of the Adini element scheme for the fourth order problem in arbitrary dimension. We prove that, the Adini element scheme is $\mathcal{O}(h^2)$ order convergent in energy norm provided the exact solution is in $H^4$, and the convergence rate in $L^2$ norm can not be nontrivially higher than $\mathcal{O}(h^2)$ order. Numerical verifications are presented.

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Jun Hu, Xueqin Yang, Shuo Zhang. 2015-05-10. Capacity of the Adini element for biharmonic equations. https://arxiv.org/abs/1505.02332

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