Interpolation Operator on negative Sobolev Spaces

We introduce a Scott--Zhang type projection operator mapping to Lagrange elements for arbitrary polynomial order. In addition to the usual properties, this operator is compatible with duals of first order Sobolev spaces. More specifically, it is stable in the corresponding negative norms and allows for optimal rates of convergence. We discuss alternative operators with similar properties. As applications of the operator we prove interpolation error estimates for parabolic problems and smoothen rough right-hand sides in a least squares finite element method

Tai Ji Quan im Westen : subjektive Theorien zur östlichen Kampfkunst Tai Ji Quan.

Tscherpel R. Tai Ji Quan im Westen : subjektive Theorien zur östlichen Kampfkunst Tai Ji Quan. Bayreuth (Germany): Bayreuth University; 1999.Diese Arbeit behandelt zum einen die Kampfkunst Tai Ji Quan, zum anderen die Beweggründe für die Ausübung von Tai Ji Quan. Zur Erarbeitung des Themas dient folgende Fragestellung: Warum üben Menschen der westlichen Welt die Kampfkunst Tai Ji Quan aus bzw. welchen Sinn verknüpfen sie mit dieser Kampfkunst? Bei der Durchführung der Untersuchung werden die Techniken der qualitativen Forschungsmethodik angewandt. Mit Hilfe der Struktur-Lege-Technik werden die Subjektiven Theorien der Untersuchungspersonen zu den Sinnperspektiven des Tai Ji Quan erfasst. Im Zeitraum vom 01.07.1999 bis 31.07.1999 wurden 20 Untersuchungspersonen nach dieser Methode befragt

Über die Wirkung von Aliskiren an isolierten Gefäßen und am isolierten Herzen

Das Ziel der vorliegenden Arbeit war die Charakterisierung der Wirkung des direkten Renin-Inhibitors Aliskiren auf isolierte Gefäße und das isolierte Herz. Dabei wurden pharmakologische Experimente an einem breiten Spektrum von glattmuskulären Gefäßpräparaten im konventionellen Organbad sowie am Langendorff-Herzen durchgeführt. Die dabei dokumentierten Effekte Aliskirens legen eine Wirkung unabhängig der renalen Inhibtion von Renin nahe und erweitern die bislang beschriebenen Wirkungen Aliskirens, bieten aber zugleich Erklärungsansätze für mögliche beschriebene Nebenwirkungen

Zur Einführung: Bewegung im Medium. Aspekte hoch- und spätmittelalterlicher Schriftlichkeit in multimedialer Aufbereitung

Arlinghaus F-J, Ostermann M, Plessow O, Tscherpel G. Zur Einführung: Bewegung im Medium. Aspekte hoch- und spätmittelalterlicher Schriftlichkeit in multimedialer Aufbereitung. In: Arlinghaus F-J, Ostermann M, Plessow O, Tscherpel G, eds. Schrift im Wandel - Wandel durch Schrift [CD-ROM]. Utrecht Studies in Medieval Literacy, 6a. Turnhout: Brepols; 2003: 1-15

Performance and polarization response of slit homogenizers for the GeoCarb mission

The observing strategy of the Geostationary Carbon Observatory (GeoCarb), which is a “step and stare” approach, can lead to distortions in the instrument spectral response function (ISRF) when there are gradients in brightness across instrument field of view. These distortions induce errors in the retrieved trace gases. In order to minimize these errors, the GeoCarb instrument design was modified to include a “slit homogenizer” whose purpose is to scramble the pattern of the incoming light and effectively remove the ISRF distortions caused by the variations in illumination across the slit. As a risk reduction, GeoCarb procured six different homogenizers and had them tested for performance in a benchtop optical system. The major finding is that the homogenizer performance depends strongly on the polarization of the incoming light, with the sensitivity growing as a function of wavelength. The width of the ISRF is substantially smaller when the light is vertically polarized (orthogonal to the slit length) compared to horizontally polarized (parallel to the slit length), and the throughput is accordingly reduced. These effects are due to the effects of the gold coating and high incidence angles present in the GeoCarb homogenizer design, which was verified using a polarization-dependent model generalized from previous homogenizer modeling work. The results strongly recommend controlling the polarization of the light entering a similar implementation using a polarizer, depolarizer, or polarization scrambler for other instruments attempting to mitigate scene illumination non-uniformity effects, as well as a robust characterization of the polarization sensitivity of all key subsystems.</p

Creating and curating an archive: Bury St Edmunds and its Anglo-Saxon past

This contribution explores the mechanisms by which the Benedictine foundation of Bury St Edmunds sought to legitimise and preserve their spurious pre-Conquest privileges and holdings throughout the Middle Ages. The archive is extraordinary in terms of the large number of surviving registers and cartularies which contain copies of Anglo-Saxon charters, many of which are wholly or partly in Old English. The essay charts the changing use to which these ancient documents were put in response to threats to the foundation's continued enjoyment of its liberties. The focus throughout the essay is to demonstrate how pragmatic considerations at every stage affects the development of the archive and the ways in which these linguistically challenging texts were presented, re-presented, and represented during the Abbey’s history

Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids

This thesis provides qualitative convergence results of a sequence of numerical approximate solutions for the flow of incompressible fluids subject to an implicit constitutive relation. The constitutive law between shear stress tensor and shear rate tensor is encoded by a (t,x)-dependent maximal monotone graph with q-growth, for q &gt; 1. For the finite element approximation, the assumptions result in a pair of (conforming) inf-sup stable finite element spaces for the velocity and the pressure and in the unsteady case a fully discrete approximation based on backward Euler time-stepping is investigated. </p

Finite element approximation for the unsteady flow of implicitly constituted incompressible fluids

This thesis provides qualitative convergence results of a sequence of numerical approximate solutions for the flow of incompressible fluids subject to an implicit constitutive relation. The constitutive law between shear stress tensor and shear rate tensor is encoded by a (t,x)-dependent maximal monotone graph with q-growth, for q > 1. For the finite element approximation, the assumptions result in a pair of (conforming) inf-sup stable finite element spaces for the velocity and the pressure and in the unsteady case a fully discrete approximation based on backward Euler time-stepping is investigated. </p