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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.