Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Analytical solutions of the Dirichlet and Neumann boundary-value problems with an ellipsoidal boundary
Abstract. Analytical solutions of exterior boundary-value problems with an ellipsoidal boundary are derived with an accuracy of O($ ɛ^{4} $) for both the Dirichlet and the Neumann boundary-value problems, where $ ɛ^{2} $ is the square of the second eccentricity of the ellipsoid. In addition, an arithmetic example is implemented to verify that the analytical solutions improve the accuracy from O($ ɛ^{2} $) to O($ ɛ^{4} $) compared to the spherical approximation. The solutions are given as integrals of closed-form, analytic Green's functions and are particularly suited to local applications.
Analytical solutions of the Dirichlet and Neumann boundary-value problems with an ellipsoidal boundary
Abstract. Analytical solutions of exterior boundary-value problems with an ellipsoidal boundary are derived with an accuracy of O($ ɛ^{4} $) for both the Dirichlet and the Neumann boundary-value problems, where $ ɛ^{2} $ is the square of the second eccentricity of the ellipsoid. In addition, an arithmetic example is implemented to verify that the analytical solutions improve the accuracy from O($ ɛ^{2} $) to O($ ɛ^{4} $) compared to the spherical approximation. The solutions are given as integrals of closed-form, analytic Green's functions and are particularly suited to local applications.
Analytical solutions of the Dirichlet and Neumann boundary-value problems with an ellipsoidal boundary
Yu, J. (Autor:in) / Jekeli, C. (Autor:in) / Zhu, M. (Autor:in)
Journal of Geodesy ; 76
2003
Aufsatz (Zeitschrift)
Englisch
BKL:
38.73
Geodäsie
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