Bibliografie VÚGTK
Summation of series and an approximation of Legendre?s functions in constructing integral kernels for the exterior of an ellipsoid: Application to boundary value problems in physical geodesy
Holota, Petr



Publication type: Audiovizuální tvorba

Annotation:
The paper primarily concerns physical geodesy applications and thus problems associated with Laplace?s and Poisson?s partial differential equation that offer a natural basis for gravity field studies. In the introduction a brief review is given on Green?s function constructed for Stokes? and Neumann?s problem formulated for the exterior of a sphere. The second of the problems is considered also within the weak solution concept. Galerkin elements are ex-pressed for the special case when the function basis is generated by the respective reproduc-ing kernel or represented by reciprocal distances (elementary potentials). The solution do-main is then generalized and the paper focuses on the construction of the reproducing kernel of Hilbert?s space of functions harmonic in the exterior of an oblate ellipsoid of revolution. In the first stage the kernel is represented by a series of ellipsoidal harmonics. However, the manipulation with the series and a numerical implementation of the integral

Citation: HOLOTA, Petr. Summation of series and an approximation of Legendre?s functions in constructing integral kernels for the exterior of an ellipsoid: Application to boundary value problems in physical geodesy [online]. In: Berlín: Leibniz Society of Science at Berlin, 2015 [cit. 2019-01-18]. Dostupné z: http://leibnizsozietaet.de/wp-content/uploads/2015/02/10-Petr-Holota-final.pdf

The record appears in these collections:
Focus on VÚGTK > VÚGTK Departments > Geodesy and Geodynamics
Focus on VÚGTK > Staff VÚGTK > Petr Holota
Documents of VÚGTK > Articles VÚGTK
Focus on VÚGTK > RIV

 Record created 2018-11-20, last modified 2019-01-18



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