Computation of Eddy Currents on a Surface in $R^3$ by Finite Element Methods
Jean-Claude Nédélec · SIAM Journal on Numerical Analysis · 1978
In this paper, we study eddy currents on a thin conductor surface $\Gamma $ in $R^3$. We suppose that these currents result from a periodic alternative time-varying excitation (such as a difference of potential or imposed currents). We shall write the current equations by using the variable surface density of the current which is a tangential complex vector to $\Gamma $. First, we prove that these integro-differential equations admit a unique solution. Then, we introduce an approximate problem on an approximate surface, built by finite elements. We study the error of approximation of this method. Some numerical results have been performed and compared with measure results. (See Nedelec-Verite [to appear].)