| 一类线性抛物型方程全离散解的超收敛估计 |
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| 引用本文： | 潘爱林. 一类线性抛物型方程全离散解的超收敛估计[J]. 淮北煤炭师范学院学报(自然科学版), 2008, 29(2) |
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| 作者姓名： | 潘爱林 |
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| 作者单位： | 云南民族大学数计学院,云南,昆明,650031 |
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| 摘 要： | 文章研究线性抛物型方程后向Euler Garlerkin有限元方法下的超收敛估计.首先,给出所讨论问题的全离散逼近格式,讨论变时间步长.其次,考虑所讨论问题的真解与全离散解.最后,借助Riesz投影算子、一些范数估计和新的方法技巧得到一个超收敛估计.
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| 关 键 词： | 抛物型方程 有限元 全离散 Euler格式 超收敛估计 |
Superconvergent Estimation on Fully Discrete Solution of a Linear Parabolic Equation |
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| PAN Ai-lin. Superconvergent Estimation on Fully Discrete Solution of a Linear Parabolic Equation[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2008, 29(2) |
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| Authors: | PAN Ai-lin |
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| Abstract: | Superconvergent estimation with The Back Euler Galerkin finite element methods for a linear parabolic equation are treated.Firstly,this paper studies the fully discrete approximation scheme,mainly discusses the scheme for discretion with respect to the time variable.Secondly,the real solution of the discussed problem and the solution of the fully discrete approximation scheme are considered.Finally,by means of the elliptic projection operator,other norm-estimations and new approachs,one superconvergent estimation are obtained. |
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| Keywords: | parabolic equation finite element fully-discrete Euler scheme superconverent estimation |
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