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Lorenz‐gauged vector potential formulations for the time‐harmonic eddy‐current problem with <i>L</i><sup>∞</sup>‐regularity of material properties

Lorenz‐gauged vector potential formulations for the time‐harmonic eddy‐current problem with <i>L</i><sup>∞</sup>‐regularity of material properties

Abstract In this paper, we consider some Lorenz‐gauged vector potential formulations of the eddy‐current problem for the time‐harmonic Maxwell equations with material properties having only L ∞ ‐regularity. We prove that there exists a unique solution of these problems, and we show the convergence of a suitable finite element approximation …