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Multi‐level finite element solution algorithms based on multiplicative and additive correction procedures
Author(s) -
Chen C. N.,
Wellford L. C.
Publication year - 1989
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.1620280105
Subject(s) - multiplicative function , finite element method , computation , algorithm , component (thermodynamics) , mathematics , computer science , approximation error , mixed finite element method , mathematical optimization , mathematical analysis , engineering , structural engineering , physics , thermodynamics
Owing to the failure of the finite element analyst to employ a properly refined computational model, the accuracy of preliminary finite element computations is often low. Thus, it is useful to introduce a computational procedure for improving the results obtained from a preliminary finite element solution. Such a procedure is presented in this paper. In this procedure the solution error components are decomposed into two parts. One of the error components is assumed to have a long period variation. The other component is assumed to have a short period variation. Multiplicative and additive correction procedures are introduced to iteratively eliminate the two error components. The multiplicative and additive correction procedures are implemented using multi‐level solution techniques.