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...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Numerical methods for partial differential equations Ročník 20; číslo 2; s. 199 - 229
Hlavní autoři: Albuquerque, C., Cottet, G.-H.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.03.2004
Témata:
elliptic problems
numerical analysis
ISSN:0749-159X, 1098-2426
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí: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
Bibliografie:ark:/67375/WNG-6Q6PWDDP-R
istex:43145511BE7D3C7E663D430A9E0970E984BE815C
ArticleID:NUM10089
ISSN:0749-159X
1098-2426
DOI:10.1002/num.10089