HIGHER-ORDER GRADIENT POST-PROCESSINGS FOR 2ND-ORDER ELLIPTIC PROBLEMS

Citation
Afd. Loula et al., HIGHER-ORDER GRADIENT POST-PROCESSINGS FOR 2ND-ORDER ELLIPTIC PROBLEMS, Computer methods in applied mechanics and engineering, 128(3-4), 1995, pp. 361-381
Citations number
30
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
ISSN journal
00457825
Volume
128
Issue
3-4
Year of publication
1995
Pages
361 - 381
Database
ISI
SICI code
0045-7825(1995)128:3-4<361:HGPF2E>2.0.ZU;2-Y
Abstract
Global, element-by-element and macroelement post-processing recovery t echniques based on least-square residuals of equilibrium equation and irrotationality condition are proposed for second-order elliptic probl ems. Improved accuracy for the flux finite element approximations is o btained with low computational cost and easy implementation. Error est imates are derived and numerical experiments are reported confirming t he higher-order rates of convergence predicted in the analysis.