| SUPERCONVERGENCE OF RITZ-VOLTERRA PROJECTION ON FINITE ELEMENT SPACES |
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| 作者姓名： | 张铁 黄明游 |
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| 作者单位： | Department of Mathematics，Northeastern University，Shenyang 110006，PRC.，Department of Mathematics，Jilin University，Changchun 130023，PRC. |
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| 摘 要： | The purpose of this paper is to study the superconvergence properties of Ritz-Volterra projection.Through construction a new type of Green function and making use of its properties and the principle of duality,the paper proves that the Ritz-Volterra projection defined on r-1 order finite element spaces of Lagrange type in one and two space variable cases possesses O(h2r~2)order and O(h4+1|Inh|)order nodal superconvergence,respectively,and the same type of superconver-gence results are demonstrated for the semidiscrete finite dement approximate solutions of Soboleve-quations.
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SUPERCONVERGENCE OF RITZ-VOLTERRA PROJECTION ON FINITE ELEMENT SPACES |
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| Zhang Tie.SUPERCONVERGENCE OF RITZ-VOLTERRA PROJECTION ON FINITE ELEMENT SPACES[J].Numerical Mathematics A Journal of Chinese Universities English Series,1996(2). |
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| Authors: | Zhang Tie |
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| Institution: | Zhang Tie Department of Mathematics,Northeastern University,Shenyang 110006,PRC.Huang ming-you Department of Mathematics,Jilin University,Changchun 130023,PRC. |
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| Abstract: | The purpose of this paper is to study the superconvergence properties of Ritz-Volterra projection.Through construction a new type of Green function and making use of its properties and the principle of duality,the paper proves that the Ritz-Volterra projection defined on r-1 order finite element spaces of Lagrange type in one and two space variable cases possesses O(h2r~2)order and O(h4+1|Inh|)order nodal superconvergence,respectively,and the same type of superconver-gence results are demonstrated for the semidiscrete finite dement approximate solutions of Soboleve-quations. |
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| Keywords: | Superconvergence Ritz-Volterra projection Finite element Sobolev equation |
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