A domain decomposition method for conformal mapping onto a rectangle
Date
1991Source
Constructive ApproximationVolume
7Issue
1Pages
349-379Google Scholar check
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Let g be the function which maps conformally a rectangle R onto a simply connected domain G so that the four vertices of R are mapped respectively onto four specified points z1, z2, z3, z4 on ∂G. This paper is concerned with the study of a domain decomposition method for computing approximations to g and to an associated domain functional in cases where: (i)G is bounded by two parallel straight lines and two Jordan arcs. (ii) The four points z1, z2, z3, Z4, are the corners where the two straight lines meet the two arcs. © 1991 Springer-Verlag New York Inc.