Discretization in Geometry and Dynamics
SFB Transregio 109

The Collaborative Research Center (SFB TRR) 109 reseraches the discretization of geometric structures and dynamic processes. That means, that they dismantle smooth geometric objects, such as curved surfaces, into simple basic elements, or reduce continual processes, such as the flight paths of satellites, into their partial steps.

 

Collaborative Project: Discretization in Geometry and Dynamics (DGD)

This transregional research project is financed by the German Reserach Foundation (DFG) and is headed by the TU Berlin with the TUM as the partner university. Leading scientists from the FU Berlin, TU Graz, TU Wien and IST Austria complete the group. In a total of 17 projects, 120 mathematicians work on questions concerning the discretization of geometric structures and dynamic processes as well as in the area of computation.

Discretization enables the calculation and analsysis on computers and is used in areas such as computer graphics, digital signal processing and numerical simulations.

Contact

Diane Clayton-Winter

Diane Clayton-Winter

Team Assistant

M10, Zentrum Mathematik

Boltzmannstr. 3
85748 Garching b. München

Tel.: +49 (0)89 289 18352

 clayton (at) ma.tum.de

Mathematical methods as technology of the future

Modell: Geschwungenes Glasdach aus geometrischen Formen

„Bisherige Methoden ermöglichen nur Näherungswerte, die für viele Aufgaben heute nicht mehr ausreichen“, erläutert der Sprecher Alexander Bobenko, Professor für Geometrie an der TU Berlin. „Um bessere Ergebnisse zu erzielen, wollen wir daher sogenannte strukturbewahrende Diskretisierungen finden, untersuchen und anwenden. Man könnte auch sagen, wir wollen nicht mehr nur einzelne Gleichungen, sondern gleich die zugrundliegenden Theorien diskretisieren“.

Konkret untersuchen die Forscher Diskretisierungen, für die es in wichtigen Aspekten keine strukturellen Unterschiede zu entsprechenden glatten Flächen oder kontinuierlichen dynamischen Prozessen gibt. So beschäftigt sich etwa ein Teilprojekt mit der Zerlegung geschwungener Oberflächen in ebene Vierecke. Damit lässt sich ein geschwungenen Glasdach konstruieren - mit einfach zu fertigenden Bauelementen. Dies ermöglicht es, eine kostengünstige und ästhetisch ansprechende architektonische Idee zu realisieren.

DFG funds a second research period of the SFB TRR 109

In 2012 the Technical University of Munich received, together with the Technical University of Berlin, an award of six milion Euros for the first four years of the mathematical research project SFB/TRR109. From 2016 the DFG supports the SFB/TRR109 for a further four years to the sum of 7 million Euros.

„The continuation of the Collaborative Research Center illustrates the excellent cooperation within our group over the past four years. The extension of the scope of the project is a clear sign for the future of our group, " said the speaker of the group Alexander Bobenko, Professor for Geometry at the TU Berlin on recieving the good news.

 „This further support of our work makes is possible for us to deepen our research in this interesting and challenging area of mathematics. We can be proud of this result," added deputy speaker Folkmar Bornemann, Professor for Scientific Computing at the TUM.

The Collaborative Research Center brings together scientists from the TU Berlin (as lead university) and the TUM as partner university with colleagues from the FU Berlin, the TU Graz, the IST Austria and the TU Vienna. In a total of 17 projects more than 120 mathematicians are working on problems in the areas of discretization of geometric structures and dynamic processes. The area "computation" has been significantly extended in the new research period, with a total of seven subprojects, aiming to keep abreast of current developments. 

The area of public relations also receives more support, particularly in the areas of computer-aided media and film. The support of young researches remains a central objective of the research work, with numerous research jobs for doctorate and postdoctorate students financed by the DFG.