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SUPERCONVERGENCES OF THE ADINI'S ELEMENT FORSECOND ORDER EQUATION
作者姓名:Ping  Luo
作者单位:Ping Luo(Department of Computer Science and Technology,Qinghua University,Beijing 100084,China)Qun Lin(Institute of Systems Science,Academia Sinica,Beijing,100080,China)
摘    要:1.IntroductionItiswellknownthattheAdini'selementiscommonlyusedforapproximatingthesolutionofhighorderpartialdifferentialequations(suchasplateproblem).WhatresultscanwegetifwesolvesecondorderimhomogeneousNeumannellipticproblemusingAdini'selement?Weshall...


SUPERCONVERGENCES OF THE ADINI'S ELEMENT FOR SECOND ORDER EQUATION
Ping Luo.SUPERCONVERGENCES OF THE ADINI'S ELEMENT FORSECOND ORDER EQUATION[J].Journal of Computational Mathematics,1999(6).
Authors:Ping Luo
Abstract:n this papers the asymptotic error expansions of Adini's element for the secondorder imhomogeneous Neumann problem are given and the superconvergence estimations are obtained. Moreover, a numerical example to support our theoreticalanalysis is reported.
Keywords:Adini's element  Superconvergence estimation  Asymptotic expansion  
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