High accuracy analysis of the Adini's nonconforming element

Authors:
Ping Luo;Qun Lin
Affiliations:
Tsinghua Univ., Beijing, China;Chinese Academy of Sciences, Beijing, China
Venue:
Computing
Year:
2002

Citing 3
Cited 0

Asymptotic error expansion and richardson extrapolation for linear fine elements

Numerische Mathematik
Computational Differential Equations

Computational Differential Equations
Finite Element Method for Elliptic Problems

Finite Element Method for Elliptic Problems

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Abstract

In this paper, we present the asymptotic error expansions of the Adini's nonconforming finite element for solving the biharmonic equation with the Dirchlet boundary value condition. Based on these expansions, we have obtained a series of sharp error estimates and extrapolations.