Abstract
A family of finite element time-domain methods, WETD(/spl Theta/), is derived to solve the time-varying Maxwell's equations. The proposed methodology is based upon the application of the Faedo-Galerkin procedure and the use of the Whitney 1-forms as bases to result in an ordinary differential equation in time for the electric field. Moreover, the resultant ordinary differential equation is solved by employing central and/or backward difference approximations. Since the WETD methods presented here are used in conjunction with tetrahedral finite element meshes, it imposes no limitations on the problem geometry. Also, in this contribution, a general stability condition has been derived for the WETD(/spl Theta/) method of which the central and backward differences are special cases corresponding to /spl Theta/=1 and /spl Theta/=0, respectively. >
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