


Abstract
Friedemann Groh, Thu, 17.3017.50

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A Convex EnergyFunction and Partial BEMFEM Decoupling in Nonlinear Magnetostatics
Friedemann Groh (ISG Stuttgart)
A conjugate gradient method to solve nonlinear magnetostatic problems is
presented. The related energyfunction is convex. Its gradient is a
composition of a simple nonlinear map and an orthogonal projection. This
projection maps arbitrary 3dvector 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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