A boundary formulation for calculating moments of an arbitrary closed planar region

Authors
Yeih, W Chang, JR Chen, JT
Citation
W. Yeih et al., A boundary formulation for calculating moments of an arbitrary closed planar region, ENG ANAL, 23(7), 1999, pp. 611-617
Citations number
13
Categorie Soggetti
Engineering Mathematics
Journal title
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
ISSN journal
09557997 → ACNP
Volume
23
Issue
7
Year of publication
1999
Pages
611 - 617
Database
ISI
SICI code
0955-7997(199907)23:7<611:ABFFCM>2.0.ZU;2-W
Abstract
In this study, a boundary formulation for calculating moments of an arbitra ry closed planar region is proposed instead of calculating moments using th e domain integral. The Gauss' divergence theorem is used to transform momen ts of area into boundary integrals. Three examples are demonstrated to show the validity of the proposed method. Results obtained from the boundary fo rmulation are compared with analytical solutions, and good accuracy is obta ined. (C) 1999 Elsevier Science Ltd. All rights reserved.