| 抛物型问题的不连续Galerkin方法 |
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| 引用本文： | 王子亭,许崇祥.抛物型问题的不连续Galerkin方法[J].中国石油大学学报(自然科学版),2002,26(3). |
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| 作者姓名： | 王子亭 许崇祥 |
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| 作者单位： | 1. 石油大学应用数学系,山东东营,257061
2. 胜利油田胜中社区,山东东营,257001 |
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| 基金项目： | 石油大学基础研究基金项目 |
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| 摘 要： | 应用基于时间空间上的有限元离散的不连续Galerkin方法对抛物型问题进行了离散近似研究。解析半群方法具有对发展方程长时间积分而不积累误差的性质 ,文中应用解析半群方法推导了不连续Galerkin近似的先验误差估计和后验误差估计。
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| 关 键 词： | 抛物型 不连续Galerkin方法 解析半群 误差估计 |
Discontinuous Galerkin method for solving parabolic problems |
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| WANG Zi,ting and XU Chong\|xiang.Discontinuous Galerkin method for solving parabolic problems[J].Journal of China University of Petroleum,2002,26(3). |
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| Authors: | WANG Zi ting and XU Chong\|xiang |
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| Institution: | WANG Zi ting and XU Chong\|xiang. Department of Applied Mathematics in the University of Petroleum,China,Dongying 257061 |
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| Abstract: | The parabolic problem was approximated with the discontinuous Galerkin method based on a space time finite element discretization. Analytic semi group method allows long time integration for the evolution problem without error accumulation. The optimal priori and posteriori error estimations were proved with the analytic semi group methods. |
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| Keywords: | parabolic problem discontinuous Galerkin method analytic semi group error estimation |
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