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CONSISTENT LOCAL ERROR COMPUTATIONS. PART II: FE APPLICATIONS
Author(s) -
STYLIANOU M. C.,
TABARROK B.
Publication year - 1996
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/(sici)1097-0207(19961015)39:19<3235::aid-nme990>3.0.co;2-w
Subject(s) - computation , finite element method , simple (philosophy) , algorithm , differential (mechanical device) , mathematics , computer science , error analysis , calculus (dental) , physics , structural engineering , engineering , medicine , philosophy , epistemology , dentistry , thermodynamics
The notion of invariants associated with differential equations introduced in Part I is used to compute consistent local errors in a finite‐element analysis. The procedure is illustrated by two simple examples—a one‐dimensional beam problem and a two‐dimensional membrane problem. It is also shown how the computed errors may be used for adaptive mesh refinement. However, the primary intent of this paper is to introduce a new concept for calculation of local errors.