Abstract
This paper is composed of the complete representation of two dimensional single layer potentials with linear strength on a straight line segment and its far field behavior which is closely related to the pose of this line segment. The far field behavior of a single layer potential on a given curve has informations of the shape of the curve.
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References
George Hsiao and R. C. Maccamy,Solution of Boundary value Problems By Integral Equations Of The First Kind, SIAM Review15 (1973), 687–705.
Zang Yuelong and Cheng Yumin and Zang Wu,A Higher-Order Boundary Element Method For Three-Dimensional Potential Problems, Int. J. Numer. Meth. in FLUIDS21 (1995), 311–321.
M.F. Zedan,Solution of The Axisymmetric Inverse Problem by Higher-Order Line Doublets, Int. J. Numer. Meth. in FLUIDS18 (1994), 415–432.
Gino Moretti,Orthogonal Grids Around Difficult Bodies, AIAA30 (1992), 933–938.
Roy S. Baty and Philip J. Morris,Conformal Grid Generation for High Aspect Ratio Simply and Doubly Connected Regions, Int. J. Numer. Meth. in ENGINEERING38 (1995), 3817–3830.
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Kim, D.W. The far field behavior of a single layer potential with linear strength distribution on a line segment. Korean J. Com. & Appl. Math. 3, 265–278 (1996). https://doi.org/10.1007/BF03008907
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DOI: https://doi.org/10.1007/BF03008907