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Performance of reduction methods for fluid–structure and acoustic eigenvalue problems
Author(s) -
Daniel W. J. T.
Publication year - 1980
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.1620151102
Subject(s) - eigenvalues and eigenvectors , finite element method , reduction (mathematics) , computation , interpolation (computer graphics) , mathematics , measure (data warehouse) , mathematical optimization , algorithm , computer science , mathematical analysis , geometry , structural engineering , physics , engineering , quantum mechanics , animation , computer graphics (images) , database
A methodology is presented for measuring the effectiveness of a finite element approach when compared with a reference finite element approach with respect to accuracy and computation. The effectiveness measure is applied to the Hughes reduction method for structural eigenvalue problems and three proposed analogous methods for fluid or fluid–structure problems. Comparisons of the three methods with consistent interpolation solutions indicate that improved effectiveness can be obtained.