3-DIMENSIONAL GRADIENT RECOVERY BY LOCAL SMOOTHING OF FINITE-ELEMENT SOLUTIONS

Authors
OMERAGIC D SILVESTER PP
Citation
D. Omeragic et Pp. Silvester, 3-DIMENSIONAL GRADIENT RECOVERY BY LOCAL SMOOTHING OF FINITE-ELEMENT SOLUTIONS, Compel, 13(3), 1994, pp. 553-566
Citations number
8
Categorie Soggetti
Mathematical Method, Physical Science","Computer Science Interdisciplinary Applications",Mathematics,"Engineering, Eletrical & Electronic
Journal title
Compel → ACNP
ISSN journal
03321649
Volume
13
Issue
3
Year of publication
1994
Pages
553 - 566
Database
ISI
SICI code
0332-1649(1994)13:3<553:3GRBLS>2.0.ZU;2-G
Abstract
The gradient recovery method proposed by Zhu and Zienkiewicz for one-d imensional problems and extended to two dimensions by Silvester and Om eragic is generalized to three-dimensional solutions based on rectangu lar prism (brick) elements. The extension is not obvious so its detail s are presented, and the method compared with conventional local smoot hing and direct differentiation. Illustrative examples are given, with an extensive experimental study of error. The method is computational ly cheap and provides better accuracy than conventional local smoothin g, but its accuracy is position dependent.