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000193616 1001_ $$aHolota, Petr
000193616 24510 $$aFundamental solution of Laplace?s equation in oblate spheroidal coordinates and Galerkin?s matrix for Neumann?s problem in Earth?s gravity field studies
000193616 5203_ $$aThe motivation comes from the role of boundary value problems in Earth?s gravity field studies. The focus is on Neumann?s problem in the exterior of an oblate ellipsoid of revolution. The approach follows the concept of variational methods and the notionof the weak solution. The solution of the problem is approximated by linear combinations of basis functions with scalar coefficients, i.e. by Galerkin approximations. The aim is to discuss the construction of Galerkin?s matrix for elementary potentialsused in quality of a function basis. The computation of the entries of Galerkin?s matrix is expected to be simple for the elementary functions like these. Nevertheless, the opposite is true. Ellipsoidal harmonics are applied as a natural tool. The problem, however, is the summation of the series that represent the entries. It is difficult to reduce the number of summation indices since in the ellipsoidal case there is no analogue to the addition theorem known for spherical harmonics.
000193616 655_4 $$aaudiovizuální tvorba
000193616 7001_ $$aNesvadba, Otakar
000193616 7730_ $$92015$$dVienna:European Geosciences Union,2015.
000193616 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F15%3A%230002195%21RIV16-GA0-00025615
000193616 910__ $$aABC039
000193616 980__ $$aclanky_vugtk
000193616 985__ $$aholota
000193616 985__ $$ariv
000193616 985__ $$autvar24
000193616 985__ $$anesvadba