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.
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页码：2110 / 2112
页数：3
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