000193618 001__ 193618
000193618 003__ CZ-ZdVUG
000193618 005__ 20190109112422.0
000193618 041__ $$aeng
000193618 040__ $$aABC039$$bcze
000193618 1001_ $$aHolota, Petr
000193618 24510 $$aOn the construction of Galerkin?s matrix for elementary potentials in case of an ellipsoidal solution domain in Earth?s gravity field studies
000193618 300__ $$a1 strana
000193618 5203_ $$aThe motivation comes from the role of boundary value problems in Earth?s gravity field studies. The focus is on Neumann?s problem in the exterior of an oblate ellipsoid of revolution. The approach follows the concept of variational methods and the notionof the weak solution. The solution of the problem is approximated by linear combinations of basis functions with scalar coefficients, i.e. by Galerkin approximations. The aim is to discuss the construction of Galerkin?s matrix for elementary potentialsused in quality of a function basis. The computation of the entries of Galerkin?s matrix is expected to be simple for the elementary functions like these. Nevertheless, the opposite is true. Ellipsoidal harmonics are applied as a natural tool. The problem, however, is the summation of the series that represent the entries. It is difficult to reduce the number of summation indices since in the ellipsoidal case there is no analogue to the addition theorem known for spherical harmonics.
000193618 655_4 $$asbornikove prispevky
000193618 7001_ $$aNesvadba, Otakar
000193618 7730_ $$92015$$dBratislava:Slovak University of Technology,2015.$$tXI Slovak Geophysical Conference$$z978-80-227-4447-8
000193618 85642 $$ahttps://www.rvvi.cz/riv?s=rozsirene-vyhledavani&ss=detail&n=0&h=RIV%2F00025615%3A_____%2F15%3A%230002190%21RIV16-GA0-00025615
000193618 910__ $$aABC039
000193618 980__ $$aclanky_vugtk
000193618 985__ $$aholota
000193618 985__ $$ariv
000193618 985__ $$autvar24
000193618 985__ $$anesvadba