Robust Algebraic Multigrid Methods and their Parallelization

Supported by the Austrian Science Foundation - " Fond zur Förderung der wissenschaftlichen Forschung (FWF) " under the grant P14953 "Robust Algebraic Multigrid Methods and their Parallelization" (October 1, 2001 - September 30, 2005)

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The aim of this project is the development and construction of Algebraic MultiGrid (AMG) methods. AMG methods try to mimic geometric multigrid methods just by knowing single grid information but retaining the optimality of the method. Since the construction of an universal AMG method for all arising situations in practice is an unrealistic dream, we will assemble efficient and robust solvers for special classes of matrices such as large scale systems arising from the (FEM, FDM, FIT, BEM) discretization of:
Navier-Stokes-flow past a half-opened valve.
(Geometry provided by AVL List GmbH)
magnet valve
Maxwell equations
quarter of a magnetic valve

Moreover, parallelization of AMG method is an important task, because it is the main source for a further enhancement of efficiency in real life applications.



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Diploma Theses

The diploma theses topic can be combined with the "Project Seminar" held every spring term at the Institute ofComputational Mathematics. Additionally the diploma theses consists in a special application from industry. The proposed topics should be seen as a collection of possible subjects. Other suggestions are warmely welcome.

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