CLOSED-FORM ERROR ESTIMATORS FOR THE LINEAR STRAIN AND QUADRATIC STRAIN TETRAHEDRON FINITE-ELEMENTS

Authors
SHIAKOLAS PS LAWRENCE KL NAMBIAR RV
Citation
Ps. Shiakolas et al., CLOSED-FORM ERROR ESTIMATORS FOR THE LINEAR STRAIN AND QUADRATIC STRAIN TETRAHEDRON FINITE-ELEMENTS, Computers & structures, 47(6), 1993, pp. 907-915
Citations number
17
Categorie Soggetti
Computer Sciences","Computer Application, Chemistry & Engineering",Engineering,"Computer Applications & Cybernetics
Journal title
Computers & structures → ACNP
ISSN journal
00457949
Volume
47
Issue
6
Year of publication
1993
Pages
907 - 915
Database
ISI
SICI code
0045-7949(1993)47:6<907:CEEFTL>2.0.ZU;2-#
Abstract
Closed-form representations of the Zienkiewicz-Zhu error estimators fo r straight edge linear and quadratic strain tetrahedral elements are p resented. The closed-form representation of the element error estimato rs was developed using symbolic algebra. Dramatic computational time s avings result in the element error estimator evaluation phase of the F EM process when the closed-form representation is used as compared wit h the use of Gaussian cubature.