Abstract
Upward continuation from a non-level surface may be performed by an integral equation method as shown previously by Bhattacharyya and Chan. Integration over the double layer is often computed using a centroid rule quadrature formula, but under certain circumstances more accurate formulae are required. One such formula may be found using a geometric approach. The result is equivalent to an expression recently published by Hansen and Miyazaki.
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Ray, R.D. Continuation by integral equation methods: A note on surface integration over the double layer. PAGEOPH 122, 725–730 (1984). https://doi.org/10.1007/BF01101877
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DOI: https://doi.org/10.1007/BF01101877