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两点边值问题的Chebyshev-Galerkin谱方法

Chebyshev-galerkin Spectral Method for the Two Point Boundary Problem
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摘要 用Chebyshev-Galerkin谱方法求具有齐次边界条件的Helmholtz方程的数值解.构造了适当的基函数,使得离散后的变分方程为稀疏线性系统,从而提高了方法的效率.最后数值试验表明Chebyshev-Galerkin谱方法可以提高算法的效率. In this paper, the Chebyshev--Galerkin spectral method for solving the Helmholtz equation is presented. In order to improve the efficiency, the appropariate base functions are constructed, which can lead to a sparse linear system for the discrete variational formulation. At last, the numerical experiment demonstrates that this method can enhance the efficiency.
作者 张光辉 任敏
出处 《德州学院学报》 2012年第6期7-9,13,共4页 Journal of Dezhou University
基金 国家自然科学基金资助(11072120) 宿州学院硕士科研启动基金项目(2008yss21)
关键词 谱方法 CHEBYSHEV多项式 GALERKIN方法 spectral method~ Chebyshev polynomial Galerkin method
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  • 1马和平.广义Korteweg-de Vries-Burgers方程组的谱方法及其误差估计[J].计算数学,1987,4:337-355.
  • 2Gottlieb D,Orszag S A.Numerical Analysis of Spectral Methods:Theory and Applications[M].SIAM-CBMS,Philadelphia,1977.
  • 3Canuto C,Hussaini M Y,Quarteroni A,et al.Spectral Methods in Fluid dynamics[M].Springer-Verlag,1987.
  • 4Maday Y,Patera A T.Spectral Element Methods for the Incompressible Navier-Stokes Equations[M].in State-of-the-Art Survey on Computational Methanics,Noor.A.K.and Oden.J.T.,eds,1989,71-143.
  • 5Shen J.Efficient Spectral-Galerkin Methods I:Direct Solivers for the Second and Fourth Order Equations Using Legendre polynomial[J].SIAM J.Sci.Comput,1994,6:1489-1505.
  • 6Shen J.A Spectral-Tau Approximation for the Stokes and Navier-Stokes Equations[J].Math.Model.Num.Anal.1988,23:677-693.

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