| 变系数抛物方程的有限元强校正格式 |
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| 引用本文： | 赖军将,朱起定.变系数抛物方程的有限元强校正格式[J].计算数学,2005,27(4):355-368. |
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| 作者姓名： | 赖军将 朱起定 |
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| 作者单位： | 湖南师范大学数学与计算机科学学院,长沙,410081 |
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| 基金项目： | 国家自然科学基金资助课题（19871027）. |
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| 摘 要： | 本文利用投影型插值和Ritz-Volterra投影研究一维变系数抛物方程的有限元方法,直接得到导数和位移的一个强校正格式.对于有限元解,分别对应力和位移获得整体的hk＋2和hk＋3阶的强结果.
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| 关 键 词： | 投影型插值 Ritz-Volterra投影 抛物型方程 强校正 |
| 收稿时间： | 2004-02-14 |
| 修稿时间： | 2004-02-14 |
A ULTRACONVERGENT CORRECTED SCHEME FOR FINITE ELEMENT METHOD OF VARIABLE COEFFICIENTS PARABOLIC EQUATIONS |
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| Lai Junjiang,Zhu Qiding.A ULTRACONVERGENT CORRECTED SCHEME FOR FINITE ELEMENT METHOD OF VARIABLE COEFFICIENTS PARABOLIC EQUATIONS[J].Mathematica Numerica Sinica,2005,27(4):355-368. |
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| Authors: | Lai Junjiang Zhu Qiding |
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| Institution: | College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China |
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| Abstract: | In this paper we will considers the finite element method for variable coefficients parabolic equations of one space dimension using projection interpolation and Ritz-Volterra projection. A ultraconvergent corrected scheme for the derivative and displacement is obtained and proved directly. For finite element solution, we can obtain global hk+2 and hk+3 order ultraconvergent results for stress and displacement through correcting, respectively. |
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| Keywords: | projection interpolation Ritz-Volterra projection parabolic equations ultraconvergent correction |
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