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一阶双曲方程的耗散谱tau方法及最优误差估计 被引量：2

An Optimal Eerror Estimate of Dissipative Spectral Tau Method for A First Order Hyperbolic Equation
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摘要 考虑一阶线性双曲方程的一种耗散Legendre tau方法,使用对偶技巧得到其在一定解光滑性条件下的最优收敛性估计。 In this paper,a dissipative Legendre tau method is proposed for a linear first order hyperbolic equation. An optimal error estimate is obtained by a duality argument under different regularity.
作者 杨征 张中强
机构地区 丽水学院数理学院 上海大学理学院
出处 《丽水学院学报》 2008年第5期12-15,共4页 Journal of Lishui University
关键词 LEGENDRE多项式 tau方法 一阶双曲方程 最优收敛估计 Legendre polynomials tau methods first order equation optimal convergence rate
分类号 O175.27 [理学—基础数学]
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参考文献6

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同被引文献10

  • 1Canuto C, Hussaini M Y, Quarteroni A, Zang T A. Spectral Methods: Fundamentals in Single Domains [M]. Berlin: Springer-Verlag, 2006.
  • 2Shen J, Wang L L. Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations[J]. Comput Methods Appl Mech Engrg, 2007, 196(37/38/39/40): 3785-3797.
  • 3Gottlieb D, Hesthaven J S. Spectral methods for hyperbolic problems[J]. J Comput Appl Math, 2001, 128(1/2): 83-131.
  • 4Dendy J E. Two methods of Galerkin type achieving optimum L2 rates of convergence for first order hyperbolics [J]. SIAM J Numer Anal, 1974, 11(3): 637-653.
  • 5Wahlbin L B. A dissipative Galerkin method for the numerical solution of first-order hyperbolic equation [M]/ / Mathematical Aspects of Finite Elements in Partial Differential Equations. New York: Academic Press, 1974: 147-169.
  • 6Wahlbin L B. A dissipative Galerkin method applied to some quasilinear hyperbolic equations [J]. Revue Francaise D'automatique, Informatique, Recherche Operationnelle. Analyse Numerique, 1974, 8(2): 109-117.
  • 7Zhao J M, Liu L H. Spectral element method with adaptive artificial diffusion for solving the radiative transfer equation [J]. Numerical Heat Transfer: Part B, 2008, 53(6): 536-554.
  • 8Houston P, Schwab C, Stili E. Stabilized hp-finite element methods for first-order hyperbolic problems[J]. SIAM J Numer Anal, 2000, 37(5): 1618-1643.
  • 9Karniadakis G, Sherwin S J. Spectral/hp Element Methods for CFD [M]. New York: Oxford University Press, 2005.
  • 10崔凯,马和平.一阶双曲方程的Legendre-Tau方法[J].应用数学与计算数学学报,2009,23(1):42-52. 被引量：1

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丽水学院学报
2008年 第5期

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