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  • General principles of direct and variational methods are discussed first, together with basic functional-analytic tools, especially Sobolev's weight space. An interpretation of Neumann's problem as a minimization problem for a quadratic functional is approached as an example. The focus, however, is on the linear gravimetric boundary value problem and a successive rectification of an oblique derivative in the respective boundary condition for the disturbing potential. The convergence and a tie of this concept to minimization principles is discussed. Finally, an interpretation in terms of function bases is shown.
  • General principles of direct and variational methods are discussed first, together with basic functional-analytic tools, especially Sobolev's weight space. An interpretation of Neumann's problem as a minimization problem for a quadratic functional is approached as an example. The focus, however, is on the linear gravimetric boundary value problem and a successive rectification of an oblique derivative in the respective boundary condition for the disturbing potential. The convergence and a tie of this concept to minimization principles is discussed. Finally, an interpretation in terms of function bases is shown. (en)
  • V článku jsou nejprve vyloženy obecné principy přímých a variačních metod spolu se základními funkcionálně-analytickými pojmy, zejména Sobolevovým váhovým prostorem. Interpretace Neumannovy úlohy ve smyslu minimalizace kvadratického funkcionálu je podána jako příklad. Pozornost je pak věnována lineárnímu gravimetrickému okrajovému problému a postupné rektifikaci šikmé derivace v okrajové podmínce pro poruchový potenciál. Následně je diskutována konvergence tohoto postupu a jeho vztah k minimalizačním principům. V závěru je postup vyložen ve smyslu funkcionálních basí. (cs)
Title
  • Direct methods in physical geodesy
  • Direct methods in physical geodesy (en)
  • Přímé metody ve fyzikální geodézii (cs)
skos:prefLabel
  • Direct methods in physical geodesy
  • Direct methods in physical geodesy (en)
  • Přímé metody ve fyzikální geodézii (cs)
skos:notation
  • RIV/00025615:_____/00:00010906!RIV/2005/MSM/C01005/N
http://linked.open.../vavai/riv/strany
  • 163-170
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA205/99/0833), P(LA 015), Z(CUZVUGTKC0101)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 708866
http://linked.open...ai/riv/idVysledku
  • RIV/00025615:_____/00:00010906
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Boundary value problems;numerical methods;Sobolev's space;Dirichlet's principle;minimum of a quadratic functional (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [9A90F4E18755]
http://linked.open...v/mistoKonaniAkce
  • Birmingham
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • Geodesy Beyond 2000 - The Challenges of the First Decade
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Holota, Petr
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 3-540-67002-5
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