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dc.contributor.author黄文彬
dc.contributor.author许传炬
dc.date.accessioned2017-11-14T02:51:25Z
dc.date.available2017-11-14T02:51:25Z
dc.date.issued2004-08-30
dc.identifier.citation福州大学学报(自然科学版),2004,(04):61-63,81
dc.identifier.issn1000-2243
dc.identifier.otherFZDZ200404016
dc.identifier.urihttps://dspace.xmu.edu.cn/handle/2288/154956
dc.description.abstract考虑二维Poisson方程的谱元法离散系统的预条件求解问题,利用张量积的性质,分析基于GLL×GLL节点上的双线性有限元刚性矩阵s^h作为谱元离散系统A^hU=F^h的预条件,证明了(S^hU,U)l2的等价和(A^hU,U)l2性.
dc.description.abstractThis paper analyze the spectrum of two-dimensional preconditional spectral element approximation to Poisson proplem. The analysis is based on the algebraic properties of the stiffness matrix(s_())of the bilinear finite element method associated to the global GLL×GLL nodes, which is used as the preconditioner of the spectral element system A_()U=F_(). We theoretically show the equivalence betweeen(S_()U, U)_(l_2) and (A_()U, U)_(l_2).
dc.language.isozh_CN
dc.subjectPoisson方程
dc.subject谱元法
dc.subject有限元
dc.subject预条件
dc.subjectPoisson equation
dc.subjectspectral element methods
dc.subjectfinite element
dc.subjectpreconditioning
dc.title二维Poisson方程谱元法有限元预条件分析
dc.title.alternativeAnalysis for two-dimensional finite element preconditioned spectral element method of the Poisson equation
dc.typeArticle


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