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In this paper, we focus on an a posteriori residual-based error estimator for the T/Ω magnetodynamic harmonic formulation of the Maxwell system. Similarly to the A/φ formulation [7], the weak continuous and discrete formulations are established, and the well-posedness of both of them is addressed. Some useful analytical tools are derived. Among them, an(More)
This paper is devoted to the derivation of a Helmholtz decomposition of vector fields in the case of mixed boundary conditions imposed on the boundary of the domain. This particular decomposition allows to obtain a residual a posteriori error estimator for the approximation of magnetostatic problems given in the so-called Aformulation, for which the(More)
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