✦ LIBER ✦
The Coulomb gauged vector potential formulation for the eddy-current problem in general geometry: Well-posedness and numerical approximation
✍ Scribed by Oszkár Bíró; Alberto Valli
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 738 KB
- Volume
- 196
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
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.