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21st GAMM-Seminar Leipzig on
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Max-Planck-Institute for Mathematics in the Sciences
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  21st GAMM-Seminar
January, 26th-28th, 2005
 
     
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  Abstract Friedemann Groh, Thu, 17.30-17.50 Previous Contents Next  
  A Convex Energy-Function and Partial BEM-FEM Decoupling in Nonlinear Magnetostatics
Friedemann Groh (ISG Stuttgart)

A conjugate gradient method to solve nonlinear magnetostatic problems is presented. The related energy-function is convex. Its gradient is a composition of a simple nonlinear map and an orthogonal projection. This projection maps arbitrary 3d-vector fields on the space of flux density fields which are induced by currents on the given magnetic domain. To represent this fields, an orthogonal decomposition into surface current fields and confined domain fields is applied. The potential of domain fields vanishes at the material boundary. Hence, one can evaluate the projection in two steps. At first, the domain field part is determined by a boundary value problem. Using its normal derivatives at the boundary, one finally constructs the surface current of the remaining part.
 

 
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Last updated:
28.01.2005 Impressum
 
Concept, Design and Realisation
[O->]Jens Burmeister (Uni Kiel), Kai Helms (MPI Leipzig)
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