Third-order Nedelec curl-conforming finite element

Summary form only given. Curl-conforming elements approximate the unknown vector field along the boundary of the finite element in terms of the tangential component of the field over the boundary by means of vectorial basis functions. Thus, they are appropiate for the approximation of the magnetic (or electric) field. Among the curl-conforming elements in the literature, it is worth mentioning the so called mixed order elements proposed by the mathematician Nedelec (1980). We present the finite element implementation of the third-order Nedelec element over 2D and 3D simplices (i e., triangles and tetrahedrons).