A LOCALLY DIVERGENCE-FREE INTERIOR PENALTY METHOD FOR TWO-DIMENSIONAL CURL-CURL PROBLEMS.

An interior penalty method for certain two-dimensional curl-curl problems is investigated in this paper. This method computes the divergence-free part of the solution using locally divergence-free discontinuous P1 vector fields on graded meshes. It has optimal order convergence (up to an arbitrarily small ϵ) for the source problem and the eigenproblem. Results of numerical experiments that corroborate the theoretical results are also presented. [ABSTRACT FROM AUTHOR]