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The Coulomb gauged vector potential formulation for the eddy-current problem in general geometry: well-posedness and numerical approximation

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  • Computer Science
  • Mathematics


In this paper we prove that, in a general geometric situation, the Coulomb gauged vector potential formulation of the eddy-current problem for the time-harmonic Maxwell equations is well-posed, i.e., its solution exists and is unique. Moreover, a quasi-optimal error estimate for its finite element approximation with nodal elements is proved. To illustrate the performances of the finite element algorithm, some numerical results are also presented.

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