A Mixed Variational Formulation for 3D Linear and Nonlinear Magnetostatics in the Space
B. Heise and M. Kuhn and U. Langer1
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