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J. et alPoster (2013, December)Recently it has been shown that it is possible to derive time-variable gravity signals from high-low satellite-to-satellite tracking (hl-SST) missions (Weigelt et al. 2013, JGR:Solid Earth, doi:10.1002 ... [more ▼]Recently it has been shown that it is possible to derive time-variable gravity signals from high-low satellite-to-satellite tracking (hl-SST) missions (Weigelt et al. 2013, JGR:Solid Earth, doi:10.1002/jgrb.50283). Based on the GPS information only, we will present results derived from the dedicated gravity field missions CHAMP, GRACE and GOCE which allow us to determine mass estimates for various applications. Hydrologically induced mass changes on land cause the strongest mass variations in the gravity field and can be easily identified in the hl-SST data, especially in areas with strong signals such as the Amazon basin. Ice melt in Greenland can be derived from the data and mass estimates compare well to corresponding GRACE estimates. Also, loading time series based on these gravity field solutions agree well with GPS observations for various stations around the globe. We also discuss the limitations of the data, e.g. in detecting signals related to glacial isostatic adjustment or earthquake-induced gravity field changes. Overall, we will demonstrate that the quality of the GPS data is sufficient nowadays and with a proper processing strategy it is possible to derive reasonable mass estimates. As such, this type of observations may allow to bridge a possible gap between GRACE and its successor GRACE Follow-On scheduled for launch in 2017. [less ▲]Detailed reference viewed: 72 (2 UL) On the Capacity of Variable Density Cellular Systems under Multicell DecodingChatzinotas, Symeon ; Imran, Muhammad Ali; Tzaras, Costasin IEEE Communications Letters (2008), 12(7), 496-498Detailed reference viewed: 73 (12 UL) On the cardinality index of fuzzy measures and the signatures of coherent systemsMathonet, Pierre ; Marichal, Jean-Luc in Mesiar, Radko; Pap, Endre; Klement, Erich Peter (Eds.) 34th Linz Seminar on Fuzzy Set Theory (LINZ 2013) - Non-Classical Measures and Integrals (2013)Detailed reference viewed: 52 (1 UL) On the category of Lie n-algebroidsBonavolontà, Giuseppe ; Poncin, Norbert in Journal of Geometry & Physics (2013), 73Detailed reference viewed: 158 (24 UL) On the change in helix handedness at transitions between the sm-c* and sm-ca* phases in chiral smectic liquid crystalsLagerwall, Jan ; Giesselmann, Frank; Osipov, Mikhail A.in Liquid Crystals (2006), 33(6), 625-633Using a discrete model for the synclinic SmC* and the anticlinic SmC􏰀a phases we give a theoretical explanation for the fact that the helix twisting sense reverses at a transition between these phases ... [more ▼]Using a discrete model for the synclinic SmC* and the anticlinic SmC􏰀a phases we give a theoretical explanation for the fact that the helix twisting sense reverses at a transition between these phases (direct transition or via the so-called chiral smectic C ‘subphases’) and we derive an explicit expression for the helical pitch in the SmC􏰀a phase. As the theory shows and as we also demonstrate experimentally, the reversal is of a different nature from helix inversions within a single phase, where the inversion is always coupled to a pitch divergence. At a clinicity change the common behaviour is instead pitch-shortening on approaching the phase transition and the associated helix twisting sense reversal. The phenomenon may be put to use in smart mixing in order to control the helix pitch, either for achieving long pitch for surface-stabilized ferroelectric and antiferroelectric liquid crystal displays; or a very short pitch, in the case of devices utilizing the deformed helix mode. [less ▲]Detailed reference viewed: 50 (2 UL) On the characterization of generalized Dhombres equations having non constant local analytic or formal solutionsReich, Ludwig; Tomaschek, Jörg in Annales Universitatis Scientiarium Budapestinensis de Rolando Eötvös Nominatae Sectio Computatorica (2013), 41We discuss solvability conditions of the generalized Dhombres functional equation in the complex domain. Our focus lies on the so-called 'infinity' case, but also the $z_0$--case is investigated. That ... [more ▼]We discuss solvability conditions of the generalized Dhombres functional equation in the complex domain. Our focus lies on the so-called 'infinity' case, but also the $z_0$--case is investigated. That means that we consider solutions of a generalized Dhombres equation with initial value $f(\infty)=w_0$, $w_0 \neq 0$, or $f(\infty)=\infty$, or $f(z_0)=1$ for $z_0 \neq 0, \infty$. For both situations we give a characterization of the generalized Dhombres equations which are solvable. [less ▲]Detailed reference viewed: 59 (2 UL) On the characterization of generalized Dhombres functional equationsTomaschek, Jörg Scientific Conference (2013, May 23)Detailed reference viewed: 19 (3 UL) On the Chevalley-Eilenberg cohomology of some infinite-dimensional algebras of geometric originPoncin, Norbert Scientific Conference (2005)Detailed reference viewed: 28 (5 UL) On the choice of a phase interchange strategy for a multiscale DEM-VOF MethodPozzetti, Gabriele ; Peters, Bernhard in AIP Conference Proceedings (2017), 1863In this work a novel Multiscale DEM-VOF method is adopted to study three phase flows. It consists in solving the fluid momentum, mass conservation and the phase advection at a different scale with respect ... [more ▼]In this work a novel Multiscale DEM-VOF method is adopted to study three phase flows. It consists in solving the fluid momentum, mass conservation and the phase advection at a different scale with respect to the fluid-particle coupling problem. This allows the VOF scheme to resolve smaller fluid structures than a classic DEM-VOF method, and opens the possibility of adopting different volume interchange techniques. Two different volume interchange techniques are here described and compared with reference to high and low particle concentration scenarios. Considerations about the respective computational costs are also proposed. [less ▲]Detailed reference viewed: 233 (48 UL) On the choice of parameters in the phase field method for simulating crack initiation with experimental validationNguyen, Thanh Tung ; Yvonnet, J.; Bornert, M. et alin International Journal of Fracture (2016), 197(2), 213--226Detailed reference viewed: 40 (0 UL) On the classical solution to the linear-constrained minimum energy problemSchiltz, Jang ; Boissaux, Marc in International Journal of Control (2012), 1Minimum energy problems involving linear systems with quadratic performance criteria are classical in optimal control theory. The case where controls are constrained is discussed in Athans and Falb (1966 ... [more ▼]Minimum energy problems involving linear systems with quadratic performance criteria are classical in optimal control theory. The case where controls are constrained is discussed in Athans and Falb (1966) [Athans, M. and Falb, P.L. (1966), Optimal Control: An Introduction to the Theory and Its Applications, New York: McGraw-Hill Book Co.] who obtain a componentwise optimal control expression involving a saturation function expression. We show why the given expression is not generally optimal in the case where the dimension of the control is greater than one and provide a numerical counterexample. [less ▲]Detailed reference viewed: 70 (3 UL) On the coexistence of SmC* and SmCa* phases in binary chiral-dopant antiferroelectric mixturesLagerwall, Jan ; Parghi, D. D.; Heppke, Gerd et alin Ferroelectrics (2000), 244We present the results from investigations on a series of binary chiral- dopant liquid-crystalline mixtures. The racemic host materials possess tilted smectic phases with varying strengths of synclinic ... [more ▼]We present the results from investigations on a series of binary chiral- dopant liquid-crystalline mixtures. The racemic host materials possess tilted smectic phases with varying strengths of synclinic and anticlinic ordering (SmC and SmCalt phases respectively). The dopants used were either a strongly synclinic-favouring non liquid-crystalline chiral material (commonly used in FLC chiral-dopant mixtures) or a strongly anticlinic (antiferroelectric) material ((S)-MHPOBC). The electrooptic and dielectric properties of the mixtures were investigated in test cells of different thickness and the influence of each mixture component on the observed physical properties is discussed. [less ▲]Detailed reference viewed: 103 (0 UL) On the Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifoldsPerroni, Fabio; Rahm, Alexander in Algebraic and Geometric Topology (in press)We give formulae for the Chen--Ruan orbifold cohomology for the orbifolds given by a Bianchi group acting on complex hyperbolic 3-space. The Bianchi groups are the arithmetic groups PSL_2(A), where A is ... [more ▼]We give formulae for the Chen--Ruan orbifold cohomology for the orbifolds given by a Bianchi group acting on complex hyperbolic 3-space. The Bianchi groups are the arithmetic groups PSL_2(A), where A is the ring of integers in an imaginary quadratic number field. The underlying real orbifolds which help us in our study, given by the action of a Bianchi group on real hyperbolic 3-space (which is a model for its classifying space for proper actions), have applications in physics. We then prove that, for any such orbifold, its Chen-Ruan orbifold cohomology ring is isomorphic to the usual cohomology ring of any crepant resolution of its coarse moduli space. By vanishing of the quantum corrections, we show that this result fits in with Ruan's Cohomological Crepant Resolution Conjecture. [less ▲]Detailed reference viewed: 89 (6 UL) On the cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifoldPoncin, Norbert in Journal of Algebra (2001), 243(1), 16-40Detailed reference viewed: 68 (0 UL) On the collaborative work between psychiatry and social work in developing transcultural capability in mental health care.Lurbe-Puerto, Katia ; Baumann, Michèle in Effets psychosociaux de la mondialisation sur la santé mentale. (2011)Detailed reference viewed: 45 (0 UL) On the combined effect of periodic signals and colored noise on velocity uncertaintiesKlos, Anna; Olivares Pulido, German ; Teferle, Felix Norman et alin GPS Solutions (2017)The velocity estimates and their uncertainties derived from position time series of Global Navigation Satellite System stations are affected by seasonal signals and their harmonics, and the statistical ... [more ▼]The velocity estimates and their uncertainties derived from position time series of Global Navigation Satellite System stations are affected by seasonal signals and their harmonics, and the statistical properties, i.e., the stochastic noise, contained in the series. If the deterministic model in the form of linear trend and periodic terms is not accurate enough to describe the time series, it will alter the stochastic model, and the resulting effect on the velocity uncertainties can be perceived as a result of a misfit of the deterministic model. The effects of insufficiently modeled seasonal signals will propagate into the stochastic model and falsify the results of the noise analysis, in addition to velocity estimates and their uncertainties. We provide the general dilution of precision (GDP) of velocity uncertainties as the ratio of uncertainties of velocities determined from to two different deterministic models while accounting for stochastic noise at the same time. In this newly defined GDP, the first deterministic model includes a linear trend, while the second one includes a linear trend and seasonal signals. These two are tested with the assumption of white noise only as well as the combinations of power-law and white noise in the data. The more seasonal terms are added to the series, the more biased the velocity uncertainties become. With increasing time span of observations, the assumption of seasonal signals becomes less important, and the power-law character of the residuals starts to play a crucial role in the determined velocity uncertainties. With reference frame and sea level applications in mind, we argue that 7 and 9 years of continuous observations is the threshold for white and flicker noise, respectively, while 17 years are required for random-walk to decrease GDP below 5% and to omit periodic oscillations in the GNSS-derived time series taking only the noise model into consideration. [less ▲]Detailed reference viewed: 81 (3 UL) On the Comparison of Radial Base Functions and Single Layer Density Representations in Local Gravity Field Modelling from Simulated Satellite ObservationsWeigelt, Matthias ; Keller, W.; Antoni, M.in Sneeuw, Nico; Novák, Pavel; Crespi, Mattia (Eds.) et al VII Hotine-Marussi Symposium on Mathematical Geodesy (2012, January)Detailed reference viewed: 48 (1 UL) On the Comparison of Radial Base Functions and Single Layer Density Representations in Local Gravity Field Modelling from Simulated Satellite ObservationsWeigelt, Matthias ; Keller, Wolfgang; Antoni, MarkusScientific 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 ▲]Detailed reference viewed: 70 (4 UL) On the complexity of input/output logicSun, Xin ; Ambrossio, Diego Agustin in Proceedings of the Fifth International Conference on Logic, Rationality and Interaction (2015)Detailed reference viewed: 60 (1 UL) On the Complexity of Input/Output LogicRobaldo, Livio ; Sun, Xinin Journal of Applied Logic (2017)Detailed reference viewed: 74 (4 UL)