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...

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Veröffentlicht in:	Numerical methods for partial differential equations Jg. 20; H. 2; S. 199 - 229
Hauptverfasser:	Albuquerque, C., Cottet, G.-H.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.03.2004
Schlagworte:	elliptic problems numerical analysis
ISSN:	0749-159X, 1098-2426
Online-Zugang:	Volltext
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Zusammenfassung:	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
Bibliographie:	ark:/67375/WNG-6Q6PWDDP-R istex:43145511BE7D3C7E663D430A9E0970E984BE815C ArticleID:NUM10089
ISSN:	0749-159X 1098-2426
DOI:	10.1002/num.10089