CONSISTENT LOCAL ERROR COMPUTATIONS .2. APPLICATIONS

Citation
Mc. Stylianou et B. Tabarrok, CONSISTENT LOCAL ERROR COMPUTATIONS .2. APPLICATIONS, International journal for numerical methods in engineering, 39(19), 1996, pp. 3235-3246
Citations number
6
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
ISSN journal
00295981
Volume
39
Issue
19
Year of publication
1996
Pages
3235 - 3246
Database
ISI
SICI code
0029-5981(1996)39:19<3235:CLEC.A>2.0.ZU;2-1
Abstract
The notion of invariants associated with differential equations introd uced 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 mes h refinement. However, the primary intent of this paper is to introduc e a new concept for calculation of local errors.