| 抛物积分-微分方程的Mortar型有限体积元方法H1-范数的误差估计 |
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| 引用本文： | 毕春加.抛物积分-微分方程的Mortar型有限体积元方法H1-范数的误差估计[J].烟台大学学报(自然科学与工程版),2005,18(3):175-183. |
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| 作者姓名： | 毕春加 |
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| 作者单位： | 烟台大学,数学与信息科学系,山东,烟台,264005 |
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| 基金项目： | 国家自然科学基金资助项目(19972039，10271066)，烟台大学博士基金(SX03B20). |
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| 摘 要： | 研究了二维抛物积分微分方程的基于Crouzeix Raviart非协调元的Mortar型有限体积元方法.为了得到误差估计,我们引进了Mortar型Ritz Volterra投影算子并得到了它在H1范数意义下的逼近性质.最后我们证明了微分方程的真解和Mortar型有限体积元方程的解在H1范数意义下的误差估计是最优的.
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| 关 键 词： | Mortar型有限体积元 Crouzeix-Raviart元 微分积分方程 误差估计 |
| 文章编号： | 1004-8820(2005)03-0175-09 |
Mortar Finite Volume Element Method for Parabolic Integro-differential Equations:H1 Error Estimation |
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| BI Chun-jia.Mortar Finite Volume Element Method for Parabolic Integro-differential Equations:H1 Error Estimation[J].Journal of Yantai University(Natural Science and Engineering edirion),2005,18(3):175-183. |
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| Authors: | BI Chun-jia |
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| Abstract: | We consider a mortar finite volume element method for two-dimensional parabolic integro-differential equations.This method is based on the mortar Crouzeix-Raviart nonconforming finite element space.In order to get the error estimates,we introduce the Ritz-Volterra projection and obtain its approximation property in H~1 norm.It is proved that the mortar finite volume element approximation derived are convergent with the optimal order in H~1-norm. |
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| Keywords: | Mortar finite volume element Crouzeix-Raviart element parabolic integro-differential equations error estimates |
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