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In this paper, a new finite element Gaussian belief propagation (FGaBP) method is presented for time-domain applications. The unconditionally stable Newmark time-stepping scheme is combined with FGaBP for this purpose. As shown empirically, the method converges for increasing time step sizes without losing stability. The combined FGaBP-time stepping is able to retain the parallel scalability from...
In this paper, we extend the recently introduced Finite Element Gaussian Belief Propagation (FGaBP) method beyond the scope of electrostatic problems, to address time-domain applications. The FGaBP inference algorithm was adapted to perform time-stepping computations based on the vector wave equation (VWE) discretized by the Newmark method. We validated the new algorithm using a reference finite element...
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