| 非定常对流扩散问题间断有限元方法的后验误差估计 |
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| 引用本文： | 杨继明.非定常对流扩散问题间断有限元方法的后验误差估计[J].湖南工程学院学报(自然科学版),2006,16(4):67-68,71. |
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| 作者姓名： | 杨继明 |
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| 作者单位： | 湖南工程学院,数理系,湖南,湘潭,411104 |
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| 摘 要： | 后验误差估计是自适应算法的基础.为了设计有效的自适应算法,必须恰当估计数值解的误差界,自适应算法依此来实现网格的局部调整,提高计算效率,改善计算精度.运用对偶论证,给出了非定常对流扩散问题间断有限元(DG)方法的后验误差分析.由有限元的正交性、分部积分和相关逼近性质,严格推导出误差泛函的上界.
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| 关 键 词： | 间断有限元 对流扩散 后验误差估计 |
| 文章编号： | 1671-119X（2006）04-0067-02 |
| 收稿时间： | 05 28 2005 12:00AM |
| 修稿时间： | 2005-05-28 |
A Posteriori Error Estimation of Discontinuous Galerkin Method for a Time-dependent Convection Diffusion Problem |
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| YANG Ji-ming.A Posteriori Error Estimation of Discontinuous Galerkin Method for a Time-dependent Convection Diffusion Problem[J].Journal of Hunan Institute of Engineering(Natural Science Edition),2006,16(4):67-68,71. |
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| Authors: | YANG Ji-ming |
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| Institution: | Dept. of Math. Phy. , Hunan Institute of Engineering, Xiangtan 411104, China |
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| Abstract: | An adaptive method is based on a posteriori error estimation.To design an effective adaptive algorithm,a very error bound is needed.A posterior error estimation can be used to reasonally adjust mesh so as to improre calculation precision A posteriori error analysis of discontinuous Galerkin method for a time-dependent convection diffusion problem is presented by the employment of duality technique.An estimation of the error functional by virtue of orthogonality integration by parts and the corresponding approximation properties is derived. |
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| Keywords: | discontinuous Galerkin convection diffusion a posteriori error estimation |
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