Solution of the geodetic boundary value problem
Bulletin Géodésique, 1979The possibility of improving the convergence of Molodensky’s series is considered. Then new formulas are derived for the solution of the geodetic boundary value problem. One of them presents an expression for the boundary condition which involves a linear combination of Stokes’ constants and surface gravity anomalies. This differs from the usually used
M. Petrovskaya
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A wavelet algorithm for the boundary element solution of a geodetic boundary value problem
Computer Methods in Applied Mechanics and Engineering, 1998Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
A. Rathsfeld
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The geodetic boundary value problem and the coordinate choice problem
Bulletin Géodésique, 1981The geodetic boundary value problem (g.b.v.p.) is a free boundary value problem for the Laplace operator: however, under suitable change of coordinates, it can be transformed into a fixed boundary one. Thus a general coordinate choice problem arises: two particular cases are more closely analyzed, namely the gravity space approach and the intrinsic ...
F. Sansò
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A new type of non-uniqueness for the scalar geodetic boundary value problem
Journal of Geodesy, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rüdiger Lehmann
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On the geodetic boundary value problem for a fixed boundary surface—A satellite approach
Bulletin Géodésique, 1983Employing satellite-geometrical methods, the physical surface of the earth may be assumed to be known, while gravity measurements yield thelength of the gravity vector (including contributions from rotation). The problem then is to determine gravitational potential from such gravity observations.
Arne Bjerhammar, Leif Svensson
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On the non-linear geodetic boundary value problem for a fixed boundary surface
Bulletin Géodésique, 1989The fixed gravimetric boundary value problem of Physical Geodesy is a nonlinear, oblique derivative problem. Expanding the non-linear boundary condition into a Taylor series—based upon some reference potential field approximating the geopotential—it is shown that the numerical convergence of this series is very rapid; only the quadratic term may have ...
B. Heck
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A Brovar-type solution of the fixed geodetic boundary-value problem
Studia Geophysica Et Geodaetica, 2011For more than 150 years gravity anomalies have been used for the determination of geoidal heights, height anomalies and the external gravity field. Due to the fact that precise ellipsoidal heights could not be observed directly, traditionally a free geodetic boundary-value problem (GBVP) had to be formulated which after linearisation is related to ...
Bernhard Heck, Heck Bernhard
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GPS Leveling and the Second Geodetic Boundary Value Problem
2001GPS provides geodesy not only with a need for the “one-centimetre” geoid model but also a very important kind of input data, the gravity disturbance data. The boundary value problem (BVP) based on these data is the second geodetic boundary value problem (GBVP).
Z. L. Fei, M. G. Sideris
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Boundary-value problems in the complex world of geodetic measurements
Journal of Geodesy, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solutions of the linearized geodetic boundary value problem for an ellipsoidal boundary to order e 3
Journal of Geodesy, 2003B Heck, Heck B
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