A 2ND-ORDER FINITE-DIFFERENCE ERROR INDICATOR FOR ADAPTIVE TRANSONIC FLOW COMPUTATIONS

Authors
GOHNER U WARNECKE G
Citation
U. Gohner et G. Warnecke, A 2ND-ORDER FINITE-DIFFERENCE ERROR INDICATOR FOR ADAPTIVE TRANSONIC FLOW COMPUTATIONS, Numerische Mathematik, 70(2), 1995, pp. 129-161
Citations number
28
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
70
Issue
2
Year of publication
1995
Pages
129 - 161
Database
ISI
SICI code
0029-599X(1995)70:2<129:A2FEIF>2.0.ZU;2-L
Abstract
An adaptive finite element method for the calculation of transonic pot ential flows was developed. An error indicator based on first order fi nite differences of gradients is introduced as a local error estimator . It measures second order distributional derivatives. Estimates invol ving this error estimator, a residual and the error are given. The err or estimator can be used as a criterion for mesh refinement. We also g ive some computational results.