| 有限元Ritz-Volterra投影的超收敛性质及其应用 |
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| 引用本文： | 张铁.有限元Ritz-Volterra投影的超收敛性质及其应用[J].应用数学,1998(2). |
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| 作者姓名： | 张铁 |
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| 作者单位： | 东北大学数学系!沈阳，110006 |
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| 基金项目： | 辽宁省博士起动基金!No.961058 |
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| 摘 要： | 本文研究有限元Ritz－Volterra投影的超收敛性质．利用一种新型的Green函数，证明了该投影具有与有限元Ritz投影相平行的函数和导数逼近的超收敛性质．这些结果被应用于抛物型积分微分方程和Sobolev方程的半离散有限元近似．
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| 关 键 词： | 有限元 Ritz－Volterra投影 超收敛 抛物型积-分微分方程 |
The Superconvergence Properties of Finite Element Ritz-Volterra Projection and Applications |
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| Zhang Tie.The Superconvergence Properties of Finite Element Ritz-Volterra Projection and Applications[J].Mathematica Applicata,1998(2). |
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| Authors: | Zhang Tie |
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| Abstract: | The purpose of this paper is to study the superconvergence properties of Ritz-Volterra projection defined on the finite element spaces. By means of a new type of Green functions, we prove that those delicate superconvergence properties of function and gradient approximoltions shared by the Ritz projection also hold for the Ritz-Volterra projection. Then, these results are applied to the semidiscrete finite element approximation to parabolic integro-differential equation and Sobolev equation. |
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| Keywords: | Finite element Ritz-Volterra projection Superconvergence Integro-differential equation of parabolic type |
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