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Vector Field Approximation on Regular Surfaces in Terms of Outer Harmonic Representations
- The present work deals with the (global and local) modeling of the windfield on the real topography of Rheinland-Pfalz. Thereby the focus is on the construction of a vectorial windfield from low, irregularly distributed data given on a topographical surface. The developed spline procedure works by means of vectorial (homogeneous, harmonic) polynomials (outer harmonics) which control the oscillation behaviour of the spline interpoland. In the process the characteristic of the spline curvature which defines the energy norm is assumed to be on a sphere inside the Earth interior and not on the Earth’s surface. The numerical advantage of this method arises from the maximum-minimum principle for harmonic functions.
- Vektorfeldapproximation auf regulären Flächen mittels Outer Harmonics
Author: | Anna Luther |
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URN: | urn:nbn:de:hbz:386-kluedo-21353 |
Advisor: | Willi Freeden |
Document Type: | Doctoral Thesis |
Language of publication: | English |
Year of Completion: | 2007 |
Year of first Publication: | 2007 |
Publishing Institution: | Technische Universität Kaiserslautern |
Granting Institution: | Technische Universität Kaiserslautern |
Acceptance Date of the Thesis: | 2007/06/05 |
Date of the Publication (Server): | 2007/10/25 |
Tag: | Sphärische Approximation; Vektorfeldapproximation Vectorfield approximation; spherical approximation |
GND Keyword: | Spline-Approximation; Harmonische Spline-Funktion |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
MSC-Classification (mathematics): | 65-XX NUMERICAL ANALYSIS / 65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx) / 65D05 Interpolation |
65-XX NUMERICAL ANALYSIS / 65Dxx Numerical approximation and computational geometry (primarily algorithms) (For theory, see 41-XX and 68Uxx) / 65D07 Splines | |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |