کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615901 | 1339332 | 2014 | 16 صفحه PDF | دانلود رایگان |
We study a time dependent eddy current equation for the magnetic field H accompanied with a nonlinear boundary condition, which is a generalization of the classical Silver–Müller condition for a non-perfect conductor. More exactly, the relation between the normal components of electric (E) and magnetic (H ) fields obeys the following power law (linearized for small and large values) ν×E=ν×(|H×ν|α−1H×ν)ν×E=ν×(|H×ν|α−1H×ν) for some α∈(0,1]α∈(0,1]. We design a linear fully discrete approximation scheme to solve this nonlinear problem. The convergence of the approximations to a weak solution is proved, error estimates describing the dependence of the error on discretization parameters are derived as well. The efficiency of the proposed method is supported by numerical experiments.
Journal: Journal of Mathematical Analysis and Applications - Volume 418, Issue 1, 1 October 2014, Pages 31–46