We present two- and three-dimensional numerical results obtained using BDDC deluxe preconditioners, cf. Dohrmann and Widlund (2013), for the linear systems arising from finite element discretizations of ?_Ωαs×u?s×v+βu?vdx. (1) This bilinear form originates from implicit time-stepping schemes of the quasi-static approximation of the Maxwell's equations in the time domain, cf. Rieben and White (2006). The coefficient α is the reciprocal of the magnetic permeability, whereas β is proportional to the ratio between the conductivity of the medium and the time step. Anisotropic, tensor-valued, conductivities can be handled as well. We only present results for essential boundary conditions, but the generalization of the algorithms to natural boundary conditions is straightforward.
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