Nonconforming Finite Element Approximation of Time-Dependent Maxwell's Equations in Debye Medium

In this article, a new nonconforming mixed finite element method (FEM) for approximating the Maxwell's equations with Debye medium in three-dimension are developed. By employing traditional variational formula, without adding stability or penalty terms, we show that the discrete scheme is robust. With the help of the element's typical properties, interpolation and derivative transfer skills, the convergence analysis is presented and error estimates for semidiscrete and leap-frog fully-discrete schemes are obtained, respectively. Numerical example shows the validity of the proposed method. (c) 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1654-1673, 2014