A numerical method for a two-dimensional curl-curl and grad-div problem is studied in this paper. It is based on a discretization using weakly continuous P1 vector fields and includes two consistency terms involving the jumps of the vector fields across element boundaries. Optimal convergence rates (up to an arbitrary positive ε) in both the energy norm and the L 2 norm are established on graded meshes. The theoretical results are confirmed by numerical experiments.
- Curl-curl and grad-div problem
- Maxwell equations
- Nonconforming finite element methods
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics