Finite Element Method: Transmission Line Analysis

This lecture introduces the finite element method applied to the analysis of transmission lines. Starting with an example of a shielded conductor on a dielectric, the instructor explains the DC transmission line using telegraph equations. The lecture covers the finite element approach to solving transmission line problems, detailing the steps involved, such as subdividing the domain, approximating voltage, expressing power loss in each element, reconnecting elements, and minimizing power loss. The instructor demonstrates the application of the method through examples of a 2D problem and discusses boundary conditions in electrostatics, material inhomogeneities, and first-order elements in the finite element mesh.