期刊文献+

一维常系数双曲型方程每步过滤解法的稳定性与误差分析

An Analysis of Stability and Error of the Filtering Method on Each Step for One Dimension Constant Coefficient Hyperbolic Equation
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摘要 考虑一维常系数双曲型方程的高阶数值解法 ,引进了一种稳定性过滤算子FN。 This paper studied a filtering high order numerical method for one dimension constant coefficient hyperbolic function. The stability and error analysis show the efficiency of this method. Numerical examples are also given to verify the analysis results.
作者 李刚 许传炬
机构地区 厦门大学数学系
出处 《数学研究》 CSCD 2003年第2期175-183,共9页 Journal of Mathematical Study
基金 国家自然科学基金 (1980 10 2 9)资助项目
关键词 双曲型方程 谱元法 过滤 hyperbolic equation spectral element method filtering
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参考文献4

  • 1Pasquetti R, Xu C J. Comments on a filter-based stabilization technique for the spectral element method.J. Comput. Phys 2002, 1--6.
  • 2Boyd J P. Two comments on filtering (artificial viscosity) for Chebyshev and Legendre spectral and spectral clement methods : Preserving the boundary conditions and interpretation of the filter as a diffusion. J.comp. Phys. 1998, 1--7.
  • 3Patera A T. A spectral element method for fluid dynamics :Laminar flow in a channel expansion. J. Comput. Phys. 1984, 7--29.
  • 4Fischer P, Mullen J. Filter-based stabilization of spectral element methods. C. R. Acad. Sci. Paris.1995, 265--270.

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