References of "Weigelt, Matthias 50003312"
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See detailIsoparametric Boundary Elements
Weigelt, Matthias UL

Scientific Conference (2012, February)

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See detailOn the Comparison of Radial Base Functions and Single Layer Density Representations in Local Gravity Field Modelling from Simulated Satellite Observations
Weigelt, Matthias UL; Keller, W.; Antoni, M.

in Sneeuw, Nico; Novák, Pavel; Crespi, Mattia (Eds.) et al VII Hotine-Marussi Symposium on Mathematical Geodesy (2012, January)

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See detailDependency of Resolvable Gravitational Spatial Resolution on Space-Borne Observation Techniques
Visser, P. N. A. M.; Schrama, E. J. O.; Sneeuw, N. et al

in Kenyon, S. C.; Pacino, M. C.; Marti, U. J. (Eds.) Geodesy for Planet Earth: Proceedings of the 2009 IAG Symposium (2012, January)

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See detailGeodasie und Hydrologie - gemeinsam zum erfolgreichen Resourcenmanagement
Weigelt, Matthias UL

Presentation (2011, November)

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See detailHydrologische Effekte in der terrestrischen Gravimetrie
Weigelt, Matthias UL

Presentation (2011, November)

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See detailAssessment of aliasing effect of white noise on different solutions in gravity recovery simulations of a GRACE-like mission
Iran Pour, S.; Sneeuw, N.; Weigelt, Matthias UL et al

Scientific Conference (2011, July)

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See detailGRACE Gravity Field Solutions Using the Differential Gravimetry Approach
Weigelt, Matthias UL; Keller, W.

Scientific Conference (2011, July)

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See detailTowards the time-variable gravity field from CHAMP
Weigelt, Matthias UL; Jäggi, A.; Prange, L. et al

Scientific Conference (2011, July)

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See detailComparison of full-repeat and sub-cycle solutions in gravity recovery simulations of a GRACE-like mission
Iran Pour, S.; Sneeuw, N.; Weigelt, Matthias UL et al

Scientific Conference (2011, April)

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See detailLong wavelength gravity field determination from GOCE using the acceleration approach
Weigelt, Matthias UL; Baur, O.; Reubelt, T. et al

in Proceedings of the 4th GOCE User Workshop, ESA SP-696 (2011, April)

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See detailLong wavelength gravity field determination from GOCE using the acceleration approach
Weigelt, Matthias UL; Baur, O.; Reubelt, T. et al

Poster (2011, April)

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See detailÜber den Einsatz eines Windschutzes bei gravimetrischen Messungen
Weigelt, Matthias UL; Schlesinger, R.

Scientific Conference (2010, October)

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See detailEvaluation of the EGM2008 by Comparison with Global and Local Gravity Solutions from CHAMP
Weigelt, Matthias UL; Sneeuw, N.; Keller, W.

in Mertikas, S. P. (Ed.) Gravity, Geoid and Earth Observation (2010, June)

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See detailRegional gravity field recovery from GRACE using position optimized radial base functions
Weigelt, Matthias UL; Antoni, M.; Keller, W.

in Mertikas, Stelios P. (Ed.) Gravity, Geoid and Earth Observation (2010, January)

Global gravity solutions are generally influenced by degenerating effects such as insufficient spatial sampling and background models among others. Local irregularities in data supply can only be overcome ... [more ▼]

Global gravity solutions are generally influenced by degenerating effects such as insufficient spatial sampling and background models among others. Local irregularities in data supply can only be overcome by splitting the solution in a global reference and a local residual part. This research aims at the creation of a framework for the derivation of a local and regional gravity field solution utilizing the so-called line-of-sight gradiometry in a GRACE-scenario connected to a set of rapidly decaying base functions. In the usual approach, the latter are centered on a regular grid and only the scale parameter is estimated. The resulting poor condition of the normal matrix is counteracted by regularization. By contrast, here the positions as well as the shape of the base functions are additionally subject to the estimation process. As a consequence, the number of base functions can be minimized. The analysis of the residual observations by local base functions enables the resolution of details in the gravity field which are not contained in the global spherical harmonic solution. The methodology is tested using simulated as well as real GRACE data. [less ▲]

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See detailA Closed Solution of the Variational Equations for Short-Arc SST
Keller, W.; Antoni, M.; Weigelt, Matthias UL

Scientific Conference (2009, September)

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See detailLokale Schwerefeldbestimmung mit Hilfe der Randelementemethode und radialer Basisfunktionen
Weigelt, Matthias UL; Keller, W.; Antoni, M.

Scientific Conference (2009, September)

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See detailOn the Comparison of Radial Base Functions and Single Layer Density Representations in Local Gravity Field Modelling from Simulated Satellite Observations
Weigelt, Matthias UL; Keller, Wolfgang; Antoni, Markus

Scientific Conference (2009, June)

The recovery of local (time-variable) gravity features from satellite-to-satellite tracking missions is one of the current challenges in Geodesy. Often, a global spherical harmonic analysis is used and ... [more ▼]

The recovery of local (time-variable) gravity features from satellite-to-satellite tracking missions is one of the current challenges in Geodesy. Often, a global spherical harmonic analysis is used and the area of interest is selected later on. However, this approach has deficiencies since leakage and incomplete recovery of signal are common side effects. In order to make better use of the signal content, a gravity recovery using localizing base functions can be employed. In this paper, two different techniques are compared in a case study using simulated potential observations at satellite level – namely position-optimized radial base functions and a single layer representation using a piecewise continuous density. The first one is the more common approach. Several variants exist which mainly differ in the choice of the position of the base function and the regularization method. Here, the position of each base is subject to an adjustment process. On the other hand, the chosen radial base functions are developed as a series of Legendre functions which still have a global support although they decay rapidly. The more rigorous approach is to use base functions with a strictly finite support. One possible choice is a single layer representation whereas the density is discretized by basic shapes like triangles, rectangles, or higher order elements. Each type of shape has its own number of nodes. The higher the number of nodes of a particular element, the more complicated becomes the solution strategy but at the same time the regularity of the solution increases. Here, triangles are used for the comparison. As a result, the radial base functions in the employed variant allow a modeling with a minimum number of parameters but do not achieve the same level of approximation as the discretized single layer representation. The latter do so at the cost of a higher number of parameters and regularization. This case study offers an interesting comparison of a near localizing with a strictly localizing base function. However, results can currently not be generalized as other variants of the radial base functions might perform better. Also, the extension to a GRACE-type observable is desirable. [less ▲]

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