| 一类完全非线性抛物积分微分方程有限元方法的整体超收敛 |
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| 引用本文： | 吕金凤,张步英. 一类完全非线性抛物积分微分方程有限元方法的整体超收敛[J]. 河北科技师范学院学报, 2009, 23(3): 54-57 |
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| 作者姓名： | 吕金凤 张步英 |
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| 作者单位： | 河北科技师范学院,数理系;欧美学院,河北,秦皇岛,066004 |
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| 摘 要： | 研究了一类完全非线性抛物积分微分方程的有限元方法,在不引入真解的Ritz-Volterra投影情况下,利用插值后处理技巧得到了半离散格式下的整体超收敛结果。
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| 关 键 词： | 完全非线性 抛物积分微分方程 整体超收敛 插值后处理技巧 |
The Global Superconvergence of Finite Element Method for a Kind of Strongly Nonlinear Parabolic Integro-differential Equations |
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| L Jin-feng,ZHANG Bu-ying. The Global Superconvergence of Finite Element Method for a Kind of Strongly Nonlinear Parabolic Integro-differential Equations[J]. Journal of Hebei Normal University of Science & Technology, 2009, 23(3): 54-57 |
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| Authors: | L Jin-feng ZHANG Bu-ying |
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| Affiliation: | L(U) Jin-feng,ZHANG Bu-ying |
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| Abstract: | The finite element methods for a kind of strongly nonlinear integro-differential parabolic equations are discussed in this paper. The global super- convergence is derived for the semidiscrete schemes error estimate through postprocessing technology, without referring to the traditional Ritz- Volterra projection of the solution of the problem used in the previous studies. |
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| Keywords: | strongly nonlinear integro-differential parabolic equations superclose and superconvergence postprocessing operator |
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