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A Mixed Variational Formulation for 3D Linear and Nonlinear Magnetostatics in the SpaceB. Heise and M. Kuhn and U. Langer1 Abstract:
In the present paper, mixed variational formulations
that consider the problems of gauging
and interface conditions in a quite natural way
are analyzed for magnetostatics.
Standard results with respect to the
Ladyzenskaya-Babuška-Brezzi (LBB) condition can be carried over
from Stokes problems to electro-magnetic fields.
Nonlinear problems are analyzed and the existence of a unique solution is
shown under appropriate assumptions.
Keywords: Nonlinear Magnetostatic Problems, Mixed Problems
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