Bounds for Eigenvalues and Condition Numbers in the p-Version of the Finite Element Method

In this paper, we present a theory for bounding the minimum eigenvalues, maximum eigenvalues, and condition numbers of stiffness matrices arising from the p-version of finite element analysis. Bounds are derived for the eigenvalues and the condition numbers, which are valid for stiffness matrices ba...

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Veröffentlicht in:	Mathematics of computation 1998-10, Vol.67 (224), p.1423-1450
Hauptverfasser:	Hu, Ning, Guo, Xian-Zhong, Katz, I. Norman
Format:	Artikel
Sprache:	eng
Schlagworte:	Eigenvalues Exact sciences and technology Finite element analysis Finite element method Legendre polynomials Mathematical functions Mathematical minima Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Partial differential equations, boundary value problems Polynomials Sciences and techniques of general use Shape functions Stiffness Stiffness matrix
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