[Acpc-l] Vortrag: Prof. U. Langer, 12.03.2001

[AURORA Project]

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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 -----
       
                  ++ Applications of Multigrad Methods ++
               ++ for 3D Magneto-Mechanical Field Problems ++
   

                               Ulrich Langer,
		        Johannes Kepler University,
		        ulanger@numa.uni-linz.ac.at
            
	         
	         ZEIT:  Montag, 12.03.2001, 17.00 Uhr s.t.  
	           ORT:  Institut fuer Softwarewissenschaft
	              1090 Wien, Liechtensteinstrasse 22, 
	                      Seminarraum, Mezzanin
	                      
	                       
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  arizing  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's 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 projekt  
F1306 andpartly in the project F1301 of the special  research  programme  SFB 
013 on "Numerical  and Symbolic  Scientific  Computing"  supported by the 
Austrian Science Fund.  See also the SFB home page http://sfb013.uni-linz.ac.at





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