000193615 001__ 193615
000193615 003__ CZ-ZdVUG
000193615 005__ 20181220104121.0
000193615 041__ $$aeng
000193615 040__ $$aABC039$$bcze
000193615 1001_ $$aHolota, Petr
000193615 24510 $$aElementary potentials and Galerkin?s matrix for an ellipsoidal domain in the recovery of the gravity field
000193615 5203_ $$aThe motivation comes from the role of boundary value problems in Earth?s gravity field studies. The focus is on Neumann?s problem in the exterior of an oblate ellipsoid of revolution. The approach follows the concept of variational methods and the notionof the weak solution. The solution of the problem is approximated by linear combinations of basis functions with scalar coefficients, i.e. by Galerkin approximations. The aim is to discuss the construction of Galerkin?s matrix for elementary potentialsused in quality of a function basis. The computation of the entries of Galerkin?s matrix is expected to be simple for the elementary functions like these. Nevertheless, the opposite is true. Ellipsoidal harmonics are applied as a natural tool. The problem, however, is the summation of the series that represent the entries. It is difficult to reduce the number of summation indices since in the ellipsoidal case there is no analogue to the addition theorem known for spherical harmonics.
000193615 655_4 $$aaudiovizuální tvorba
000193615 7001_ $$aNesvadba, Otakar
000193615 7730_ $$92015$$dPraha:International Union Of Geodesy and Geophysics,2015.
000193615 8564_ $$uhttp://www.czech-in.org/cmdownload/IUGG2015/presentations/IUGG-5236.pdf
000193615 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F15%3A%230002196%21RIV16-GA0-00025615
000193615 910__ $$aABC039
000193615 980__ $$aclanky_vugtk
000193615 985__ $$aholota
000193615 985__ $$ariv
000193615 985__ $$anesvadba
000193615 985__ $$autvar24