A Semi-Analytical Approach to Green＇s Functions for Problems in Multiply-Connected Regions on a Spherical Surface
A Semi-Analytical Approach to Green＇s Functions for Problems in Multiply-Connected Regions on a Spherical Surface
摘要
This work aims at potential fields generated by point sources in conductive perforated fragments of spherical shells. Such fields are interpreted as profiles of Green＇s functions of relevant boundary-value problems stated in multiply-connected regions for Laplace equation written in geographical coordinates. Those are efficiently computed by a modification of the method of functional equations, with closed analytical forms preliminary obtained for Green＇s functions for the corresponding simply-connected regions.
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