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Accuracy Analysis of the Adini Element for Biharmonic Equation
Authors:Email author" target="_blank">Ping?LuoEmail author  Qun?Lin
Institution:(1) Department of Computer Science, Tsinghua University, Beijing, 100084, P. R. China;(2) Institute of Computational Mathematics and Scientific Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080, P. R. China
Abstract:Abstract In this paper, we consider the solution of the biharmonic equation using Adini nonconforming finite element, and report new results of the asymptotic error expansions of the interpolation error functionals and nonconforming remainder. These expansions are used to develop two extrapolation formulas and a series of sharp error estimates. Finally, the numerical results have verified the extrapolation theory. Project 19971050 supported by NSFC
Keywords:Adini nonconforming element  Extrapolation  Error expansion  Biharmonic equation
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