Capacity of the Adini element for biharmonic equations

2015/05/10 by Jun Hu, Xueqin Yang, Hu, Jun +3
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1505.02332

openalex publication_date 2015/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 O(h²) order convergent in energy norm provided the exact solution is in H⁴, and the convergence rate in L² norm can not be nontrivially higher than O(h²) order. Numerical verifications are presented.

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