Spline Modelling of Geostrophic Flow: Theoretical and Algorithmic Aspects

  • Spline functions that approximate (geostrophic) wind field or ocean circulation data are developed in a weighted Sobolev space setting on the (unit) sphere. Two problems are discussed in more detail: the modelling of the (geostrophic) wind field from (i)discrete scalar air pressure data and (ii) discrete vectorial velocity data. Domain decomposition methods based on the Schwarz alternating algorithm for positive definite symmetric matrices are described for solving large linear systems occuring in vectorial spline interpolation or smoothing of geostrophic flow.

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Author:W. Freeden, K. Hesse
URN (permanent link):urn:nbn:de:hbz:386-kluedo-12324
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (250)
Document Type:Preprint
Language of publication:English
Year of Completion:2002
Year of Publication:2002
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2002/07/19
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011