193622
CZ-ZdVUG
20190118105509.0
https://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F15%3A%230002192%21RIV16-GA0-00025615
2015
Berlín:Leibniz Society of Science at Berlin,2015.
clanky_vugtk
holota
riv
utvar24
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
Audiovizuální tvorba
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
Holota, Petr
ABC039
ABC039
cze