Analysis of a Finite Element Method for Maxwell’s Equations

Abstract

The use of finite elements to discretize the time dependent Maxwell equations on a bounded domain in three-dimensional space is analyzed. Energy norm error estimates are provided when general finite element methods are used to discretize the equations in space. In addition, it is shown that if some curl conforming elements due to Nédélec are used, error estimates may also be proved in the $L^2 $ norm.