Coupling finite difference methods and integral formulas for elliptic problems arising in fluid mechanics

This article is devoted to the numerical analysis of two classes of iterative methods that combine integral formulas with finite‐difference Poisson solvers for the solution of elliptic problems. The first method is in the spirit of the Schwarz domain decomposition method for exterior domains. The se...

Full description

Saved in:
Bibliographic Details
Published in:Numerical methods for partial differential equations Vol. 20; no. 2; pp. 199 - 229
Main Authors: Albuquerque, C., Cottet, G.-H.
Format: Journal Article
Language:English
Published: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.03.2004
Subjects:
elliptic problems
numerical analysis
ISSN:0749-159X, 1098-2426
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This article is devoted to the numerical analysis of two classes of iterative methods that combine integral formulas with finite‐difference Poisson solvers for the solution of elliptic problems. The first method is in the spirit of the Schwarz domain decomposition method for exterior domains. The second one is motivated by potential calculations in free boundary problems and can be viewed as a numerical analytic continuation algorithm. Numerical tests are presented that confirm the convergence properties predicted by numerical analysis. © 2003 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 20: 199–229, 2004
Bibliography:ark:/67375/WNG-6Q6PWDDP-R
istex:43145511BE7D3C7E663D430A9E0970E984BE815C
ArticleID:NUM10089
ISSN:0749-159X
1098-2426
DOI:10.1002/num.10089