Construction of Green's function to the external Dirichlet boundary-value problem for the Laplace equation on an ellipsoid of revolution

DOI10.1007/S001900050124zbMath1003.86526OpenAlexW2029667066MaRDI QIDQ697169

Erik W. Grafarend, Zdeněk Martinec

Publication date: 23 October 2002

Published in: Journal of Geodesy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s001900050124

zbMATH Keywords

Green's functionDirichlet boundary-value problemellipsoidal harmonicsellipsoid of revolution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Geodesy, mapping problems (86A30)

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Recent Progress on Spheroidal Monogenic Functions ⋮ Space gradiometry: tensor-valued ellipsoidal harmonics, the datum problem and application of the Lusternik-Schnirelmann category to construct a minimum atlas ⋮ An analytical solution of the Laplace equation with Robin conditions by applying Legendre transform

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