THE ULTRACONVERGENCE OF EIGENVALUES FOR BI-QUADRATIC FINITE ELEMENTS

THE ULTRACONVERGENCE OF EIGENVALUES FOR BI-QUADRATIC FINITE ELEMENTS

The classical eigenvalue problem of the second-order elliptic operator is approxlmateo with hi-quadratic finite element in this paper. We construct a new superconvergent function recovery operator, from which the O（h^8｜ in h｜^2） ultraconvergence of eigenvalue approximation is obtained. Numerical exp...

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Veröffentlicht in:Journal of computational mathematics 2012-09, Vol.30 (5), p.555-564
Hauptverfasser: Meng, Lingxiong, Zhang, Zhimin
Format: Artikel
Sprache:eng
Schlagworte:
A posteriori knowledge
Approximation
Eigenvalues
Finite element method
Interpolation
Line segments
Mathematical functions
Polynomials
Problem solving
二次元
二阶
恢复操作
数值实验
有限元
椭圆算子
特征值问题
超收敛
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Beschreibung
Zusammenfassung:The classical eigenvalue problem of the second-order elliptic operator is approxlmateo with hi-quadratic finite element in this paper. We construct a new superconvergent function recovery operator, from which the O（h^8｜ in h｜^2） ultraconvergence of eigenvalue approximation is obtained. Numerical experiments verify the theoretical results.
ISSN:0254-9409
1991-7139
DOI:10.4208/jcm.1203-m3977