Green?s Function, Reproducing Kernel and Galerkin?s Matrix for the Exterior of an Ellipsoid: Application in Gravity Field Studies

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F10%3A%230001716" target="_blank" >RIV/00025615:_____/10:#0001716 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Green?s Function, Reproducing Kernel and Galerkin?s Matrix for the Exterior of an Ellipsoid: Application in Gravity Field Studies
Original language description
In the introductory part the importance of the topic for gravity field studies is outlined. Concepts and tools used for the representation of solutions of boundary value problems are mentioned. A weak formulation of Neumann?s problem is considered with emphasis on function bases generated by the reproducing kernel of Hilbert?s space of functions. The paper then focuses on the reproducing kernel for the solution domain given by the exterior of an oblate ellipsoid of revolution. First its exact structureis derived by means of the apparatus of ellipsoidal harmonics. In this case the structure of the kernel, similarly as of the entries of Galerkin?s matrix, becomes rather complex. Therefore, an approximation of ellipsoidal harmonics based on an approximation version of Legendre?s ordinary differential equation (limit layer approach) is used. A numerical implementation of the exact structure of the reproducing kernel is mention as a driving impulse of running investigations.
Czech name
—
Czech description
—

Project
<a href="/en/project/LC506" target="_blank" >LC506: Recent dynamics of the Earth</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)