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Statements

Subject Item
n2:RIV%2F00025615%3A_____%2F03%3A00007362%21RIV%2F2004%2FMSM%2FC01004%2FN
rdf:type
skos:Concept n7:Vysledek
dcterms:description
The determination of the gravity field of the Earth is approached from the mathematical point of view. We discuss the integration of Laplace's equation under given boundary data. In particular we focus on the solution of a gravimetric boundary value problem. An approach is applied that follows the concept of variational methods and the notion of the weak solution. A system of elementary potentials is used as a function basis. We then construct Galerkin's system of linear equations for the coefficients in the approximation of the disturbing potential by means of linear combinations of basis functions. Elements of the matrix of this system are computed for the exterior of an ellipsoid of revolution. Ellipsoidal harmonics are used as a natural tool in these computations. The effects caused by the flattening of the ellipsoid are expressed up to terms multiplied by the square of the numerical eccentricity. A reference is also made which concerns effects caused by the topography. The determination of the gravity field of the Earth is approached from the mathematical point of view. We discuss the integration of Laplace's equation under given boundary data. In particular we focus on the solution of a gravimetric boundary value problem. An approach is applied that follows the concept of variational methods and the notion of the weak solution. A system of elementary potentials is used as a function basis. We then construct Galerkin's system of linear equations for the coefficients in the approximation of the disturbing potential by means of linear combinations of basis functions. Elements of the matrix of this system are computed for the exterior of an ellipsoid of revolution. Ellipsoidal harmonics are used as a natural tool in these computations. The effects caused by the flattening of the ellipsoid are expressed up to terms multiplied by the square of the numerical eccentricity. A reference is also made which concerns effects caused by the topography.
dcterms:title
Variational methods in the representation of the gravitational potential Variational methods in the representation of the gravitational potential
skos:prefLabel
Variational methods in the representation of the gravitational potential Variational methods in the representation of the gravitational potential
skos:notation
RIV/00025615:_____/03:00007362!RIV/2004/MSM/C01004/N
n4:strany
3-11
n4:aktivita
n15:P
n4:aktivity
P(GA205/01/1463), P(LA 089), P(LN00A005)
n4:dodaniDat
n12:2004
n4:domaciTvurceVysledku
n16:7619413
n4:druhVysledku
n9:D
n4:duvernostUdaju
n17:S
n4:entitaPredkladatele
n20:predkladatel
n4:idSjednocenehoVysledku
632756
n4:idVysledku
RIV/00025615:_____/03:00007362
n4:jazykVysledku
n8:eng
n4:klicovaSlova
Earth's gravity field;boundary value problems;variational methods;ellipsoidal harmonics
n4:klicoveSlovo
n11:boundary%20value%20problems n11:ellipsoidal%20harmonics n11:Earth%27s%20gravity%20field n11:variational%20methods
n4:kontrolniKodProRIV
[7DE79B7ACD33]
n4:mistoKonaniAkce
Muensbach
n4:mistoVydani
Luxembourg
n4:nazevZdroje
Cahiers du Centre Européen de Géodynamique et de Séismologie
n4:obor
n19:DE
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:projekt
n5:LN00A005 n5:GA205%2F01%2F1463 n5:LA%20089
n4:rokUplatneniVysledku
n12:2003
n4:tvurceVysledku
Holota, Petr
n4:typAkce
n10:EUR
n4:zahajeniAkce
2001-10-23+02:00
s:numberOfPages
9
n13:hasPublisher
Centre Européen de Géodynamique et de Séismologie
n18:isbn
2-9599804-9-2