An Efficient Numerical Method for Time Domain Electromagnetic Wave Propagation in Co-axial Cables

In this work, we construct an efficient numerical method to solve 3D Maxwell's equations in coaxial cables. Our strategy is based upon a hybrid explicit-implicit time discretization combined with edge elements on prisms and numerical quadrature. One of the objectives is to validate numerically generalized telegrapher's models that are used to simplify the 3D Maxwell equations into a 1D problem. This is the object of the second part of the article.