Geometric interpretation of finite-dimensional eddy-current formulations

This paper gives an explicit geometric interpretation of finite element formulations of the eddy-current problem. The paper shows, step-by-step how the eddy-current problem can be implemented in a finite element kind of software system exploiting familiar geometric ideas such as lengths of edges, areas of faces, volumes of tetrahedra, and the mutual interconnections between the simplices of a mesh. The approach is a specific case of the so-called geometric techniques. Copyright 2006 John Wiley & Sons, Ltd.