| 一阶线性双曲方程的耗散谱元法 |
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| 引用本文： | 陈炼,马和平.一阶线性双曲方程的耗散谱元法[J].应用数学与计算数学学报,2013(4):491-500. |
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| 作者姓名： | 陈炼 马和平 |
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| 作者单位： | [1]上海大学理学院,上海200444 [2]上海应用技术学院理学院,上海201418 |
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| 基金项目： | 国家自然科学基金资助项目（11171209）;上海市教育委员会重点学科建设资助项目（J50101）;上海大学研究生创新基金资助项目（SHUCX091048） |
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| 摘 要： | 讨论了二维一阶线性变系数双曲方程的耗散谱元法,得到拟最优估计.数值结果表明,耗散谱元法对于具有较复杂边界条件的问题同样有效,对于有限光滑问题,耗散谱元法能够得到比传统的谱元法更好的结果.
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| 关 键 词： | 一阶线性双曲方程 耗散 谱元法 |
Dissipative spectral element method for first-order linear hyperbolic equation |
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| CHEN Lian,＇,MA He-ping.Dissipative spectral element method for first-order linear hyperbolic equation[J].Communication on Applied Mathematics and Computation,2013(4):491-500. |
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| Authors: | CHEN Lian ＇ MA He-ping |
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| Institution: | 1 (1. College of Sciences, Shanghai University, Shanghai 200444, China; 2. College of Sciences, Shanghai Institute of Technology, Shanghai 201418, China) |
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| Abstract: | The dissipative spectral element method for the two dimensional first- order linear variable coefficients hyperbolic equation is discussed in this paper. Quasi-optimal error estimate is obtained for the scheme. Numerical results verify the validity of the underlying scheme in dealing with complex boundary conditions and its some superiority over the standard spectral element method for the solutions of the limited smoothness. |
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| Keywords: | first-order linear hyperbolic equation dissipative spectral elementmethod |
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