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|Title:||A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains|
Whiteman, J R
|Citation:||Maths Technical Papers (Brunel University). Dec 1972, pp 1-25|
|Abstract:||A method is given for solving two dimensional harmonic mixed boundary value problems in simply-connected polygonal domains with re-entrant boundaries. The method consists of a numerical conformal mapping together with three other conformal transformations. The numerical mapping transforms the original domain onto the unit circle, which in turn is mapped onto a rectangle by means of two bilinear and one Schwarz-Christoffel transformations. The transformed problem in the rectangle is solved by inspection.|
|Appears in Collections:||Mathematical Science|
Dept of Mathematics Research Papers
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