Title
A locally divergence-free nonconforming finite element method for the time-harmonic maxwell equations
Document Type
Article
Publication Date
4-1-2007
Abstract
A new numerical method for computing the divergence-free part of the solution of the time-harmonic Maxwell equations is studied in this paper. It is based on a discretization that uses the locally divergence-free Crouzeix-Raviart nonconforming P vector fields and includes a consistency term 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 norm are established on graded meshes. The theoretical results are confirmed by numerical experiments. © 2006 American Mathematical Society. 1 2
Publication Source (Journal or Book title)
Mathematics of Computation
First Page
573
Last Page
595
Recommended Citation
Brenner, S., Li, F., & Sung, L. (2007). A locally divergence-free nonconforming finite element method for the time-harmonic maxwell equations. Mathematics of Computation, 76 (258), 573-595. https://doi.org/10.1090/S0025-5718-06-01950-8