Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/1491

 Title: Curvilinear crosscuts of subdivision for a domain decomposition method in numerical conformal mapping Author(s): Falcão, M. I.Papamichael, N.Stylianopoulos, N.S. Keywords: Numerical conformal mappingQuadrilateralsConformal modulesDomain decompositionquadrilateralconformal module Issue date: 1999 Publisher: Elsevier Journal: Journal of Computational and Applied Mathematics Citation: "Journal of computational and applied mathematics". ISSN 0377-0427. 106 (1999) 177-196. Abstract(s): Let $Q:=\{\Omega;z_1,z_2,z_3,z_4\}$ be a quadrilateral consisting of a Jordan domain $\Omega$ and four distinct points $z_1$, $z_2$, $z_3$ and $z_4$ in counterclockwise order on $\partial \Omega$. We consider a domain decomposition method for computing approximations to the conformal module $m(Q)$ of $Q$ in cases where $Q$ is "long'' or, equivalently, $m(Q)$ is "large''. This method is based on decomposing the original quadrilateral $Q$ into two or more component quadrilaterals $Q_1$, $Q_2,\ldots$ and then approximating $m(Q)$ by the sum of the the modules of the component quadrilaterals. The purpose of this paper is to consider ways for determining appropriate crosscuts of subdivision and, in particular, to show that there are cases where the use of curved crosscuts is much more appropriate than the straight line crosscuts that have been used so far. Type: Article URI: http://hdl.handle.net/1822/1491 DOI: 10.1016/S0377-0427(99)00067-9 ISSN: 0377-0427 Peer-Reviewed: yes Access: Open access Appears in Collections: CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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