Definition
Finite point-set method: approximation of the Earth’s disturbing potential by use of (Dirac) values on a prescribed finite set of points.
Introduction
Originally, FPM (finite point-set method) was meant to be a (software) tool for the numerical simulation of certain fluid dynamical problems. By virtue of FPM, the fluid dynamical field information is stored in so-called particles that are moving with flow velocity.
Two decades ago, the Geomathematics Group Kaiserslautern (see Cui, 1995; Cui and Freeden, 1997; Freeden, 1999; Choirat and Seri, 2013) made the attempt to transfer essential ideas and concepts of the “particle method” to physical geodesy, thereby restricting all investigations to the spherical context. As a matter of fact, the realization of FPM on other geodetically relevant closed surfaces such as ellipsoid or telluroid seems to be in infancy. As a consequence, FPM on geodetically relevant reference surfaces different from the sphere is a challenge for future...
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References and Reading
Choirat, C., and Seri, R., 2013. Computational aspects of Cui-Freeden statistics for equidistribution on the sphere. Mathematics of Computation, 82, 2137–2156.
Cui, J., 1995. Finite Pointset Methods on the Sphere and Their Application in Physical Geodesy. PhD thesis, University of Kaiserslautern, Geomathematics Group.
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Augustin, M., Freeden, W. (2015). Geodetically Relevant Finite Point-Set Method (FPM). In: Grafarend, E. (eds) Encyclopedia of Geodesy. Springer, Cham. https://doi.org/10.1007/978-3-319-02370-0_118-1
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DOI: https://doi.org/10.1007/978-3-319-02370-0_118-1
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