Biro, Oszkar and Valli, Alberto (2005) The Coulomb gauged vector potential formulation for the eddy-current problem in general geometry: well-posedness and numerical approximation. UNSPECIFIED. (Unpublished)
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.
|Item Type: ||Departmental Technical Report|
|Department or Research center: ||Mathematics|
|Uncontrolled Keywords: ||Eddy-currents, vector potentials, Coulomb gauge, well-posedness, finite element approximation|
|Report Number: ||UTM 682, May 2005|
|Repository staff approval on: ||25 Jul 2005|
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