HPC and edge elements for geophysical electromagnetic problems: an overview

In Finite Element Methods for solving electromagnetic problems, the use of Nedelec Elements has become very popular. In fact, Nedelec Elements are often said to be a cure to many difficulties that are encountered, particularly eliminating spurious solutions, and are claimed to yield accurate results. In this paper, we present our first steps in developing a Nedelec Elements code for simulation of geophysical electromagnetic problems and first ideas on how implement the key issues of Edge Elements in an efficient way on HPC platforms.