✦ LIBER ✦
Lorenz-gauged vector potential formulations for the time-harmonic eddy-current problem with L∞-regularity of material properties
✍ Scribed by Paolo Fernandes; Alberto valli
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 243 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.900
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✦ Synopsis
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 scheme. Moreover, we show that some previously proposed Lorenz‐gauged formulations are indeed formulations in terms of the modified magnetic vector potential, for which the electric scalar potential is vanishing. Copyright © 2007 John Wiley & Sons, Ltd.