| 高阶偏微分方程局部间断Galerkin方法的最优误差估计（英文） |
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| 引用本文： | 金宇秋,杜若,李迎庆,程瑶.高阶偏微分方程局部间断Galerkin方法的最优误差估计（英文）[J].数学进展,2019(2):241-256. |
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| 作者姓名： | 金宇秋 杜若 李迎庆 程瑶 |
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| 作者单位： | 苏州科技大学数理学院 |
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| 基金项目： | supported by Natural Science Foundation of Jiangsu Province(No.BK20170374);Nature Science Research Program for Colleges and Universities of Jiangsu Province(No.17KJB110016);Scientific Research Project for University Students of Suzhou University of Science and Technology in 2017-2018 |
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| 摘 要： | 本文针对含三阶和四阶空间导数的高阶偏微分方程,得到了基于广义交替数值通量局部间断Galerkin方法的最优L^2-模误差估计.主要技术是基于有关辅助变量的能量方程和最新提出的整体Gauss-Radau投影.数值实验验证了理论结果.
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| 关 键 词： | 高阶方程 LDG方法 数值通量 广义Gauss-Radau投影 误差估计 |
Optimal Error Estimates of the Local Discontinuous Galerkin Method for the High Order Partial Differential Equations |
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| JIN Yuqiu,DU Ruo,LI Yingqing,CHENG Yao.Optimal Error Estimates of the Local Discontinuous Galerkin Method for the High Order Partial Differential Equations[J].Advances in Mathematics,2019(2):241-256. |
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| Authors: | JIN Yuqiu DU Ruo LI Yingqing CHENG Yao |
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| Institution: | (School of Mathematics and Physics,Suzhou University of Science and Technology,Suzhou,Jiangsu,215009,P.R.China) |
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| Abstract: | JIN Yuqiu;DU Ruo;LI Yingqing;CHENG Yao(School of Mathematics and Physics,Suzhou University of Science and Technology,Suzhou,Jiangsu,215009,P.R.China) |
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| Keywords: | high order equation LDG method numerical flux generalized Gauss-Radau projection error estimates |
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