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On an Iterative Approach to Solving the Nonlinear Satellite-Fixed Geodetic Boundary-Value Problem

International Association of Geodesy Symposia, 2015
Karol Mikulá   +2 more
exaly   +2 more sources

Geodetic Boundary-Value Problems and the Height Datum Problem

2004
The analysis of boundary-value problems has always been used in geodesy as a frame to understand the nature of the problem of determining the gravity disturbing potential, with respect to well-posedness (existence, uniqueness, continuous dependence of the solution on boundary data).
SACERDOTE, FAUSTO, F. Sansò
openaire   +3 more sources

Variational formulation of the geodetic boundary value problem

Bulletin Géodésique, 1978
A variational principle for the Stokesian boundary value problem is derived using the Euler-Lagrange theory. The resulting variational principle is then transformed into an equation determining the semi-major axis of the best fitting ellipsoid which fulfills the condition U 0 =W 0 .
openaire   +3 more sources

Geodetic boundary value problems I

1986
Veröffentlichungen des Zentralinstituts Physik der Erde ...
openaire   +1 more source

Uniquely and overdetermined geodetic boundary value problems by least squares

Bulletin Géodésique, 1989
Least-squares by observation equations is applied to the solution of geodetic boundary value problems (g.b.v.p.). The procedure is explained solving the vectorial Stokes problem in spherical and constant radius approximation. The results are Stokes and Vening-Meinesz integrals and, in addition, the respective a posteriori variance-covariances.
Teunissen, Peter   +2 more
openaire   +2 more sources

The Analysis of Geodetic Boundary Value Problems in Linear form

2012
Assume that S is a smooth surface, in the sense explained in Sect. 13.2, and that there is a function u(P) harmonic in Ω (the exterior of S), regular at infinity, and we have performed a very large number of measurements that can be expressed as functionals of u(P) at every point P ∈ S \(\begin{array}{rcl} F[u(P),P] = f(P),& &\end{array}\) then one can
Fernando Sansò, Michael G. Sideris
openaire   +1 more source

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