[Acpc-l] Vortrag: Prof. U. Langer, 12.03.2001; KORREKTUR
AURORA Project
AURORA Project <aurora@par.univie.ac.at>
Wed, 28 Feb 2001 12:35:41 +0100 (MET)
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UNIVERSITAET WIEN INSTITUT FUER SOFTWAREWISSENSCHAFT
gemeinsam mit
FWF-Projekt Spezialforschungsbereich F011 "AURORA"
----- EINLADUNG ZU EINEM VORTRAG IM RAHMEN DES AURORA-KOLLOQUIUMS -----
+++ Numerical Scientific Computing in Electrical Engineering +++
Ulrich Langer,
Johannes Kepler University,
ZEIT: Montag, 12.03.2001, 17.00 Uhr s.t.
ORT: Institut fuer Softwarewissenschaft
1090 Wien, Liechtensteinstrasse 22,
Seminarraum, Mezzanin
In the first part of the talk I will present the structure, the results and
the scientific goals of the SFB F013 on "Numerical and Symbolic Scientific
Computing". One main objective of the SFB consists in the development of
numerical and symbolic scientific computing tools and their arrangement to
some Research Problem Solver Environment (RPSE) for large scale problems.
In the case of large scale direct and inverse field problems, typical
components of such a RPSE are the Geometry Editor, the Problem Editor, the
Modeler, the Mesh Generator, Parallelization Tools, the Solver Kernel,
Optimization Tools and Visualization Tools. In the talk I will present
some of these scientific computing tools that have been developed in the
SFB since 1998 and that enable us to solve quite complicated problems now.
In the second part of the talk I consider coupled magneto-mechanical
problems the efficient simulation of which the main topic of the subproject
F1306 is subviced by the author. The transient behaviour of some
magneto-mechanical system can be completely described by Maxwell's and
Lam's partial differential equations (PDEs) with appropriate coupling terms
reflecting the interactions of these fields and with the corresponding
boundary and initial conditions. Neglecting the displacement currents and
introducing the vector potential for the magnetic field, we arrive at a
system of parabolic PDEs for the vector potential coupled with the
hyperpolic PDEs for the displacements. In the stationary case, we have to
deal with two coupled systems of elliptic PDEs. Usually the computational
domain, the finite element discretization, the time integration and the
solver are different for the magnetic and mechanical parts. For instance,
the vector potential is approximated by edge elements whereas the finite
element discretization of the displacements is based on nodal elements on
different meshes. The most time consuming moduls in the solution procedure
are the solvers for both the magnetical and the mechanical finite element
equations arising in each step of the time integration procedure. We
present geometrical and algebraic multigrid solvers that are different for
both parts. Already in their non-parallelized versions, these multigrid
solvers enable us to solve quite efficiently not only academic test
problems but also technical magneto-mechanical systems of high complexity.
The parallelization of the magnetic multigrid methods (Maxwell solvers) as
well as of the mechanical multigrid methods (Lam solvers) is based on a
unified data distribution concept borrowed from the domain decomposition
methods. The results presented in the talk have been obtained mainly in
the subprojects F1301 and F1306 of the special research programme SFB F013
on "Numerical and Symbolic Scientific Computing" supported by the Austrian
Science Fund. More information on the SFB can be found on the
SFB homepage http://sfb013.uni-linz.ac.at
Ulrich Langer,
Johannes Kepler University Linz
Institute of Analysis and Computational Mathematics
Spezialforschungsbereich SFB F013
Altenberger Str. 69, A-4040 Linz, Austria
ulanger@numa.uni-linz.ac.at
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