000193619 001__ 193619 000193619 003__ CZ-ZdVUG 000193619 005__ 20190426102537.0 000193619 040__ $$aABC039$$bcze 000193619 1001_ $$aHolota, Petr 000193619 24510 $$aOn the construction of Galerkin?s matrix for elementary potentials in case of an ellipsoidal solution domain in Earth?s gravity field studies 000193619 5203_ $$aThe motivation comes from the role of boundary value problems in Earth?s gravity field studies. The focus is on Neumann?s problem in the exterior of an oblate ellipsoid of revolution. The approach follows the concept of variational methods and the notionof the weak solution. The solution of the problem is approximated by linear combinations of basis functions with scalar coefficients, i.e. by Galerkin approximations. The aim is to discuss the construction of Galerkin?s matrix for elementary potentialsused in quality of a function basis. The computation of the entries of Galerkin?s matrix is expected to be simple for the elementary functions like these. Nevertheless, the opposite is true. Ellipsoidal harmonics are applied as a natural tool. The problem, however, is the summation of the series that represent the entries. It is difficult to reduce the number of summation indices since in the ellipsoidal case there is no analogue to the addition theorem known for spherical harmonics. 000193619 655_4 $$aaudiovizuální tvorba 000193619 7001_ $$aNesvadba, Otakar 000193619 7730_ $$92015$$dBratislava:Slovak University of Technology,2015. 000193619 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F15%3A%230002199%21RIV16-GA0-00025615 000193619 909CO $$ooai:knihovna.vugtk.cz:193619$$qNUSL$$qRIV 000193619 910__ $$aABC039 000193619 980__ $$aseda 000193619 985__ $$aholota 000193619 985__ $$ariv 000193619 985__ $$autvar24 000193619 985__ $$anesvadba