Equivalence between the spectral and the finite elements matrices

被引：0

作者：

Ribot, M ^{[1
]}

Schatzman, M

机构：

[1] CNRS, MAPLY, F-69622 Villeurbanne, France

[2] Univ Lyon 1, F-69622 Villeurbanne, France

来源：

COMPUTATIONAL FLUID AND SOLID MECHANICS 2003, VOLS 1 AND 2, PROCEEDINGS | 2003年

关键词：

preconditioner; spectral method; finite elements method; mass matrix; rigidity matrix; Legendre polynomials;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper, we prove the spectral equivalence of the mass matrix for a Legendre-Gauss-Lobatto method with the mass matrix of finite elements method; we also prove analogous results on rigidity matrices. For this purpose, we establish some asymptotic formulae for Legendre polynomials and for the roots of their derivatives.

引用

页码：2110 / 2112

页数：3

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