A domain decomposition method for conformal mapping onto a rectangle |
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| Authors: | N Papamichael N S Stylianopoulos |
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| Institution: | 1. Department of Mathematics and Statistics, Brunel University, UB8 3PH, Uxbridge, Middlesex, England
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| Abstract: | Letg be the function which maps conformally a rectangleR onto a simply connected domainG so that the four vertices ofR are mapped respectively onto four specified pointsz
1,z
2,z
3,z
4 on G. This paper is concerned with the study of a domain decomposition method for computing approximations tog 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 pointsz
1,z
2,z
3,Z
4, are the corners where the two straight lines meet the two arcs.Communicated by Dieter Gaier. |
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| Keywords: | AMS classification" target="_blank">AMS classification 30C30 |
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