A finite element method for evaluating a double integral arising from a Dirichlet problem in fluid mechanics

In this paper we give a finite element method and its error estimate for evaluating double integrals over a smooth domain. The results are used to compare rates of flow of a viscous incompressible fluid in a pipe‐in‐pipe system with different doubly connected cross‐sections. These numerical results...

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Bibliographic Details
Published in:	Communications in numerical methods in engineering Vol. 13; no. 8; pp. 627 - 634
Main Authors:	SHIVAKUMAR, P. N., YAN, NINGNING, JI, CHUANXIANG
Format:	Journal Article
Language:	English
Published:	Sussex John Wiley & Sons, Ltd 01.08.1997
Subjects:	doubly connected regions finite elements Poisson's equation viscous flow
ISSN:	1069-8299, 1099-0887
Online Access:	Get full text
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Summary:	In this paper we give a finite element method and its error estimate for evaluating double integrals over a smooth domain. The results are used to compare rates of flow of a viscous incompressible fluid in a pipe‐in‐pipe system with different doubly connected cross‐sections. These numerical results confirm an earlier conjecture regarding the rates of flow. ©1997 John Wiley & Sons, Ltd.
Bibliography:	ark:/67375/WNG-6G2Q6KVV-X National Sciences and Engineering Research Council of Canada - No. 0GP007899 ArticleID:CNM86 istex:9877E67EBCBC8379E915E28E7DEB8A3CCF3C867A
ISSN:	1069-8299 1099-0887
DOI:	10.1002/(SICI)1099-0887(199708)13:8<627::AID-CNM86>3.0.CO;2-6