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Aufsatz
Fachrechnen / Technische Mathematik
(Bonz, Bernhard (Hrsg.), 1981)
Aufsatz
Einige Bemerkungen zur Bedeutung von "stoffdidaktischen" Aspekten am Beispiel der Analyse eines Unterrichtsausschnitts in der Arbeit von J. Voigt
(1985)
By example of an excerpt of a lesson analysed by J. voigt we want to point to the importance of didactic aspects related to topics ("stoffdidaktisehe"
Aspekte) in analysing, planning and performing mathematics education.
Dissertation
Biofilmbildung bei Pflanzen-assoziierten Bakterien der Gattung Methylobacterium und molekulargenetisch-physiologische Charakterisierung eines neuen Marchantia-Isolats (Mtb. sp. JT1)
(2009-07-27)
Bakterien existieren bevorzugt in Biofilmen. Das Zusammenleben in diesen Gemeinschaften bietet den einzelnen Mikroben einen wirksamen Schutz und ermöglicht die Ausbildung langfristiger, synergistischer Wechselwirkungen, die mit multizellulären Systemen verglichen werden können. Biofilme bestehen aus Mikrooganismen-Populationen, die sich an Grenzflächen ansammeln und typischerweise von einer Matrix aus extrazellulären polymeren Substanzen umgeben sind. Auch auf Pflanzen-Oberflächen bilden viele Bakterien Biofilme, um ...
Preprint
Artificial boundary conditions for the Stokes and Navier-Stokes equations in domains that are layer-like at infinity
(Universität Kassel, FB 17, Mathematik/Informatik, 2005)
Artificial boundary conditions are presented to approximate solutions to Stokes- and Navier-Stokes problems in domains that are layer-like at infinity. Based on results about existence and asymptotics of the solutions v^infinity, p^infinity to the problems in the unbounded domain Omega the error v^infinity - v^R, p^infinity - p^R is estimated in H^1(Omega_R) and L^2(Omega_R), respectively. Here v^R, p^R are the approximating solutions on the truncated domain Omega_R, the parameter R controls the exhausting of Omega. ...
Preprint
Stability of preconditioned finite volume schemes at low Mach numbers
(Universität Kassel, FB 17, Mathematik/Informatik, 2004)
In [4], Guillard and Viozat propose a finite volume method for the simulation of inviscid steady as well as unsteady flows at low Mach numbers, based on a preconditioning technique. The scheme satisfies the results of a single scale asymptotic analysis in a discrete sense and comprises the advantage that this can be derived by a slight modification of the dissipation term within the numerical flux function. Unfortunately, it can be observed by numerical experiments that the preconditioned approach combined with an ...
Preprint
Anisotropic adaptive resolution of boundary layers for heat conduction problems
(Universität Kassel, FB 17, Mathematik/Informatik, 2005)
We deal with the numerical solution of heat conduction problems featuring steep gradients. In order to solve the associated partial differential equation a finite volume technique is used and unstructured grids are employed. A discrete maximum principle for triangulations of a Delaunay type is developed. To capture thin boundary layers incorporating steep gradients an anisotropic mesh adaptation technique is implemented. Computational tests are performed for an academic problem where the exact solution is known as ...