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Characteristics of subspace in reduced basis technique
Author(s) -
Tao Dahong,
Ramm Ekkehard
Publication year - 1991
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.1620310809
Subject(s) - subspace topology , basis (linear algebra) , mathematics , convergence (economics) , degrees of freedom (physics and chemistry) , basis function , point (geometry) , mathematical optimization , mathematical analysis , geometry , physics , quantum mechanics , economics , economic growth
Abstract In the reduced basis technique the coefficients of global shape functions are taken as generalized degrees of freedom. The non‐linear system is solved iteratively in a reduced subspace using considerably less unknowns. This paper investigates the characteristics of the reduced system, the relationship between the reduced system and the main system, the criterion to judge the critical point with reduced quantities and the criterion of convergence in the reduced subspace.