| 一类半线性抛物型方程的协调有限元法 |
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| 引用本文： | 潘爱林,郭玉祥,钟澎洪.一类半线性抛物型方程的协调有限元法[J].合肥学院学报(自然科学版),2009,19(2):6-8. |
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| 作者姓名： | 潘爱林 郭玉祥 钟澎洪 |
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| 作者单位： | 1. 云南民族大学,数学与计算机科学学院,昆明,650031
2. 安徽大学,数学科学学院,合肥,230039 |
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| 摘 要： | 主要讨论了一类二阶半线性抛物型方程，研究它在半离散下的Galerkin协调有限元法，借用Riesz投影的性质和其他一些新的估算方法，最后得到了真解和近似解之间在L^2范数下的误差估计．
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| 关 键 词： | 抛物型方程 半线性 半离散 Galerkin法 误差估计 |
Conforming Finite Element Method for a Type of Semi-linear Parabolic Equations |
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| PAN Ai-lin,GUO Yu-xiang,ZHONG Peng-hong.Conforming Finite Element Method for a Type of Semi-linear Parabolic Equations[J].Journal of Hefei University :Natural Sciences,2009,19(2):6-8. |
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| Authors: | PAN Ai-lin GUO Yu-xiang ZHONG Peng-hong |
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| Institution: | 1.School of Mathematics and Computer Science;Yunnan Nationalities University;Kunming 650031;2.School of Mathematics and Science;Anhui University;Hefei 230039;China |
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| Abstract: | A type of second-order semi-linear parabolic equation was discussed.The Galerkin finite element methods under the semi-discrete situation for the discussed problem were researched.By means of the Riesz projection and other new methods for calculation and estimation,some error estimates in L2 between the real solution and the approximate solution were obtained. |
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| Keywords: | parabolic equations semi-linear semi-discrete Galerkin method error estimation |
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