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Theoretical study of axisymmetrical triple flame
(2002)SAM Research ReportWe study the axysymmetrical triple flame, that could be observed at the base of the laminar diffusion lifted flame. The study of this flame has been done by S.Ghosal and L.Vervisch, who applied the two-dimensional approach for the flame that axisymmetrical in fact. The experiments reveal us the necessity to investigate the influence of the radius of the flame base on the behaviour (i.e. such important characteristics as stability and ...Report -
Mixed hp-DGFEM for incompressible flows III: Pressure stabilization
(2002)SAM Research ReportWe consider stabilized mixed hp-discontinuous Galerkin methods for the discretization of the Stokes problem in three-dimensional polyhedral domains. The methods are stabilized with a term penalizing the pressure jumps. For this approach it is shown that IQk-IQk and IQk-IQk-1 elements satisfy a generalized inf-sup condition on geometric edge and boundary layer meshes that are refined anisotropically and non quasi-uniformly towards faces, ...Report -
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Analytic regularity of Stokes flow in polygonal domains
(2002)SAM Research ReportWe investigate the analytic regularity of the Stokes problem in a polygonal domain $\Omega \subset R^2$ with straight sides and piecewise analytic data. We establish a shift theorem in weighted Sobolev spaces of arbitrary order with explicit control of the order-dependence of the constants. The shift-theorem in countably normed weighted Sobolev spaces implies in particular interior analyticity and Gevrey-type analytic regularity near the corners.Report -
Verkehrssicherheitsbeurteilung (VSB)
(2002)Veränderungen an Verkehrsanlagen haben Auswirkungen auf deren Sicherheit. Bis anhin ist in der Schweiz kein Verfahren zur einheitlichen und damit möglichst objektiven Überprüfung von Projekten hinsichtlich Bestimmung und Beurteilung der Auswirkungen auf die Verkehrssicherheit bekannt. Ein solches Verfahren, bei dem also die präventive Elimination bzw. Verminderung von Gefahren im Mittelpunkt steht, fehlt. Der Forschungsauftrag bezweckte ...Report -
EXPEDITE
(2002)The EXPEDITE project was carried out for the European Commission, Directorate-General for Energy and Transport (DGTREN) by a consortium of consultants and institutes, coordinated by RAND Europe, as part of the 5 th Framework. The objectives of EXPEDITE were to generate forecasts for both passenger and freight transport for Europe for 2005, 2010, 2015 and 2020, to show which policies can be effective to reach substitution from car and lorry ...Report -
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hp Finite Element Approximations on Non-Matching Grids for the Stokes Problem
(2002)SAM Research ReportWe propose and analyze a domain decomposition method on non-matching grids for hp-finite element approximations of the Stokes problem in two dimensions. No weak or strong continuity of the discrete velocities, is imposed across the boundaries of the subdomains. Instead, we employ suitable bilinear forms defined on the common interfaces, typical of discontinuous Galerkin approximations. Our main result is the divergence stability of some ...Report -
A numerical study on Neumann-Neumann and FETI methods for hp-approximations on geometrically refined boundary layer meshes in two dimensions
(2002)SAM Research ReportIn this paper, we present extensive numerical tests showing the performance and robustness of certain Balancing Neumann-Neumann and one-level FETI methods for the solution of algebraic linear systems arising from hp finite element approximations of scalar elliptic problems on geometrically refined boundary layer meshes in two dimensions. The numerical results are in good agreement with the theoretical bounds for the condition numbers of ...Report -