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 (Unpublished)
Abstract
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 |
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| Department or Research center: | Mathematics |
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| Subjects: | UNSPECIFIED |
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| Uncontrolled Keywords: | Eddy-currents, vector potentials, Coulomb gauge, well-posedness, finite element approximation |
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| Report Number: | UTM 682, May 2005 |
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| Repository staff approval on: | 25 Jul 2005 |
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