An error indicator for the generalized eigenvalue problem using the hierarchical finite element method | Zendy

Friberg P. O. | Zendy

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An error indicator for the generalized eigenvalue problem using the hierarchical finite element method

Author(s) -

Friberg P. O.

Publication year - 1986

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620230108

Subject(s) - eigenvalues and eigenvectors , rayleigh quotient , a priori and a posteriori , finite element method , mathematics , rayleigh quotient iteration , quotient , mathematical optimization , inverse iteration , pure mathematics , structural engineering , engineering , physics , philosophy , epistemology , quantum mechanics

The hierarchical concept applied to eigenvalue problems is considered. An error indicator is derived from the pertinent Rayleigh quotient. The indicator serves as an estimation ‘ a posteriori ’ of the relative change in an eigenvalue for a hierarchical refinement. A numerical example is included.

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